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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>International Semantic Web Conference, November</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>The Persistence of Temporality: Representation of Time in Cultural Heritage Knowledge Graphs</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Oleksandra Bruns</string-name>
          <email>oleksandra.bruns@fiz-karlsruhe.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Eggenstein-Leopoldshafen, Germany</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>FIZ Karlsruhe - Leibniz Institute for Information Infrastructure</institution>
          ,
          <addr-line>Hermann-von-Helmholtz-Platz 1, 76344</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Karlsruhe Institute of Technology (AIFB)</institution>
          ,
          <addr-line>Kaiserstr. 89, 76133 Karlsruhe</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>0</volume>
      <fpage>6</fpage>
      <lpage>10</lpage>
      <abstract>
        <p>Modeling temporal information in cultural heritage knowledge graphs is essential to understand history, society and the world. However, due to the binary nature of RDF predicates, representing time in RDF is a challenge. This work addresses the challenge and explores various approaches for integrating time into knowledge graphs. In particular, the work aims at answering key research questions, such as best practices for temporal representation in RDF, crucial requirements in the cultural heritage context, and evaluating RDF extensions for modeling time. Additionally, it is investigated how RDF can reason over temporal relationships and how the new insights can be used to develop a lightweight and intuitive approach for modeling time in RDF based on domain requirements. Fundamentally, the research argues for embracing the persistence of temporality in KGs, as it is crucial for understanding our changing heritage, recognising the influence of the past on the present, and shaping a knowledgeable future.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>CEUR
ceur-ws.org</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>Cultural heritage (CH) knowledge graphs (KGs) are an essential tool for representing complex
relationships between artifacts, practices, events and traditions, enabling a better view on our
shared heritage. A structured semantic representation of CH data improves interoperability,
facilitating global access and reuse. Understanding historical events across diferent time layers
enables comprehending their influence on each other and the present world, as well as fostering
cultural identity. Hence, temporal context is crucial in the CH domain. For example, KGs can
provide innovative ways of exploring diverse archival records from various historical periods
by semantically interlinking them. However, this requires accurate representation, reasoning,
and querying of temporal data and knowledge contained in such records.</p>
      <p>The Resource Description Framework (RDF) is a widely adopted representation language and
exchange format used to encode data on the Web, and a fundamental building block for creating
knowledge graphs. However, the standard RDF model has limited capabilities in representing
temporal aspects of data. Several approaches have been proposed for integrating the concept of
time into Semantic Web applications, but they difer in various ways, e.g in the dimensions of
CEUR
Workshop
Proceedings</p>
      <p>© 2022 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
time they adapt, the type of temporal data considered, and how temporal statements in data can
be expressed, which influences how the information is accessed and queried. For instance, some
approaches consider the valid time to represent the validity of a certain fact, concept, or event,
while others record the time of change in a KG as transaction time. Thus, the choice of a certain
modeling approach is highly dependent on the use case. Additionally, historical data often
lack complete provenance, making it challenging to document and represent the validity of a
fact or concept accurately. To summarize, a structured and formal representation of temporal
context through semantically interlinked representations such as KGs can provide novel means
of exploring historical knowledge. However, the modeling approach must be carefully chosen
based on the context and nature of the historical data to ensure that the temporal statements in
the data are accurately represented and reasoned.</p>
      <p>This research addresses the challenge by answering the research questions:
RQ1. What are the current best practices for representing temporal information in RDF?
What are the key extensions to RDF that are currently being used to represent temporal
information? What are their advantages and limitations?
RQ2. What temporal information is crucial in the context of cultural heritage? What
requirements can be deduced from cultural heritage use cases?
RQ3. How can RDF extensions be evaluated? What characteristics are crucial for modeling
time for cultural heritage use cases?
RQ4. How can RDF be applied to reason over temporal relationships? For example, how can it
be inferred that one event occurred before another based on their timestamps?
RQ5. Can clear domain requirements and lessons learnt being utilized to develop a new
lightweight and intuitive approach to model time in RDF? What criteria have to be
considered?</p>
      <p>Answering these research questions will have a significant impact on the cultural heritage
ifeld and beyond. Benefits may include improved organization and understanding of historical
data by cultural heritage domain experts, including events, timelines, and narratives. This
can lead to new insights and discoveries about the past. Additionally, a structured and clear
view on how time can be represented in RDF can boost the development of new digital tools,
e.g. for analyzing historical events or for visualizing interactive timelines of historical events;
means for representation and exploration of historical processes, e.g. court processes; and
the overall interoperability within heterogeneous tangible and intangible cultural data, e.g.
historical events and the archival objects that recorded them, dramas and their performances
and interpretations over time, etc. Ultimately, a better understanding and improvement of
temporal data representation will contribute to enhancing public engagement with cultural
heritage, and increase cross-disciplinary collaboration among researchers.</p>
      <p>The reminder of the paper is structured as follows: Section 2 answers RQ1 and presents the
work related to representing time in RDF and CH. Section 3 reports the preliminary results:
Section 3.1 addresses RQ2 and derives modeling requirements, while Section 3.2 describes the
evaluation plan (RQ3-4). Section 4 concludes the work and gives the insight to the future of the
research (RQ4-5).</p>
    </sec>
    <sec id="sec-3">
      <title>2. Related Work</title>
      <p>
        There are two main approaches of representing and organizing knowledge by means of
ontologies: event-based and entity-based, with the entity (object) and event as the main building blocks
respectively [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. In entity-based modeling, standard RDF triples represent statements about
entities at a particular moment, without any explicit reference to the temporal context in which
those statements hold. Which makes it impossible to reason over temporal information, while
the event-based approach is developed to capture the dynamic nature of the data [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. For this, a
so-called event reification approach is used, which introduces a new special event entity for
every change of state that may be associated with, inter alia, temporal context. One example is
the CIDOC-CRM - the ISO standard ontology for cultural heritage domain [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], and is commonly
used as underlying data model for CH KGs for representing national heritage across cultural
disciplines, e.g. ArCo[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], and Sampo use cases[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], as well as domain specific knowledge, e.g.
SeaLiT[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] is a KG of maritime history from the 1850s to the 1920s, and Odeuropa[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] to model
olfactory heritage information and the semantic of smell. Following the event-based approach,
CIDOC-CRM associates temporal information to the entities of the type E5 Event1, e.g. the
death of Friedrich Schiller, the construction of the Berlin Wall, etc. This allows for associating
event entities with time directly, however results in very complex structures that require a
significant level of expertise and efort to understand, implement and query correctly.
This research focuses on temporal extensions to RDF that allow for modeling temporal
information in an entity-based setting. For the sake of generalisation, with regard to the level where the
temporality is introduced the existing work towards extending RDF with time can be classified
into a) graph level extensions, b) triple level extensions, c) component level extensions.
Graph level extensions are used to group RDF triples that share temporal entailment. For
example, in Named Graphs [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] and n-quads[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] the quad format &lt; , , ,   ℎ &gt; is adopted,
where the   ℎ is linked to the temporal validity of triples. Triple level extensions, e.g.
reification, tRDF [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13">10, 11, 12, 13</xref>
        ], aRDF[
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], RDF* [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], either explicitly convert a triple into a
reified statement or implicitly attach a temporal label to it. In component level extensions, the
time label is attached to one or more triple components. For example, 4D fluents [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] convert
a subject or an object of a triple into their time slices that carry temporal data. In the case of
Singleton property approach [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], every predicate is unique and exists only in a certain temporal
context. N-ary relations[
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] objectify the relation and annotate it with its validity in time.
Adding a temporal dimension to RDF requires the introduction of temporal semantics to
represent concepts such as time instants, intervals, durations, and relationships between them, as
well as to reason over them. Some extensions, e.g. tRDF and 4D fluents, extend RDF semantics
and propose temporal vocabularies. Others, in particular extensions that were developed for
more generic purposes, e.g. Named Graphs and RDF*, require the use of time ontologies to
incorporate temporal semantics, e.g. OWL-Time2, BioTop3, the Timeline Ontology4, PROV-O5.
In [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ], a comprehensive review and comparison of the existing extensions to RDF were
con1https://www.cidoc-crm.org/Entity/e5-event/version-6.2
2https://www.w3.org/TR/owl-time/
3https://bioportal.bioontology.org/ontologies/BT/
4https://motools.sourceforge.net/timeline/timeline.html
5https://www.w3.org/TR/prov-o/
ducted. The approaches were evaluated against several characteristics, as e.g., the need for
additional objects, the number of triples required for temporal annotation, the extension of
triples with additional dimensions, the specification of a query language, etc. However, based
on the evaluation no clear guidelines could be defined since the choice of the model is highly
use case specific. For example, in [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], the authors emphasize the significance of modeling
temporal information for historic research, but note that practical suitability of the existing
approaches towards it is still uncertain. To the best of our knowledge, no research has been
conducted towards the best practices of representing temporal information for CH domain.
This presented research task aims at addressing the gap by, first, defining clear requirements
for modeling time in CH, and, second, evaluating the approaches against these requirements to
provide modeling guidelines.
      </p>
    </sec>
    <sec id="sec-4">
      <title>3. Towards Time Modeling in Cultural Heritage</title>
      <p>This section aims at reporting the conducted work and preliminary results, in particular
by defining modeling requirements for temporal information in CH, proposing specific
characteristics for evaluation of the existing approaches, and creating an evaluation plan.</p>
      <sec id="sec-4-1">
        <title>3.1. Modeling Requirements</title>
        <p>
          In [
          <xref ref-type="bibr" rid="ref21 ref22 ref23 ref24 ref25">21, 22, 23, 24, 25</xref>
          ], the first steps towards the definition of the modeling requirements
for CH based on real use cases, developed within TRANSRAZ 6, Wiedergutmachung 7, and
“Subject Related Points of Access within Archivportal-D on Example of the subject area Weimar
Republic”8 projects, were conducted. For this, the bottom-up approach was followed, based on
the specific nature of the data and competency questions (CQs) defined by the domain experts,
e.g. archivists or historians, generic modeling requirements (REQs) were deduced:
REQ1. Conceptual evolution of entities refers to cases where the meaning of entities changes
over time, such as occupations undergoing a shift in their definition or perception.
REQ2. Terminological changes of entities occur when labels associated with entities undergo
modifications, e.g. change of a last name due to marriage or renaming of a street.
REQ3. Temporal annotation of entities is crucial in a cultural context and involves associating
specific time information with entities, such as birth and death dates of individuals, the
establishment and demolition dates of historical buildings, or the formation of art groups.
REQ4. Temporal annotation of facts involves assigning time validity to facts based on the
changing relationships between entities over time. For example, the address of a created
work may change.
        </p>
        <p>REQ5. Modeling time stamps and intervals is necessary due to the diverse nature of cultural
data, where the time validity of entities and facts may be indicated in various ways, e.g.
”The Marriage of Figaro (1786)”, ”Mozart’s Last Solo (1791-03-04)”.</p>
        <sec id="sec-4-1-1">
          <title>6https://www.fiz-karlsruhe.de/en/forschung/transraz 7https://www.fiz-karlsruhe.de/en/forschung/wiedergutmachung 8https://www.fiz-karlsruhe.de/en/forschung/archivportal-d-sachthematische-zugaenge</title>
          <p>REQ6. Modeling of anonymous intervals indicates intervals with incomplete or unknown
temporal boundaries, e.g. “until 1923”.</p>
          <p>REQ7. Modeling time uncertainty is crucial for annotations where the time validity is
contradictory or unclear, such as cases where approximate dates are provided, like ”1908 or
1909,” or when a rough estimation is given, such as ”around 1200”.</p>
          <p>REQ8. Modeling Allen’s interval relations allows for the exploration of hidden timelines and
the extension of existing knowledge. This involves representing temporal relationships
using Allen’s interval algebra, enabling the identification of temporal order, overlap, and
other relations, such as ”during his studies” or ”before that.”
For example, from a specific CQ ”Where were schools located in Nuremberg in 1908? How
did their establishment develop throughout time?”, several modeling requirements could be
extracted: REQ3, since schools and addresses may change over time and have to be associated
with their existence in time. REQ4, since schools may move and change their addresses, REQ2,
e.g. streets or schools may be renamed, REQ1 e.g. a school with the same name can change it is
function, REQ5, e.g. 1908, REQ8, e.g. the school should have been built before 1908.</p>
        </sec>
      </sec>
      <sec id="sec-4-2">
        <title>3.2. Evaluation Plan and Criteria</title>
        <p>
          After defining the requirements, the next research step involves evaluating existing approaches
for time modeling based on these requirements. For this, we extend the list of criteria (CR)
in [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] for the specific needs of the CH domain:
CR1. Number of triples used for modeling a requirement: This criterion aims to assess
the eficiency and scalability of the models. Minimizing the number of triples required
for modeling is important to avoid scalability issues when dealing with large datasets.
CR2. RDF syntax extension: Many models extend standard RDF triples to incorporate the
temporal dimension. This characteristics considers the influence of such extensions on
reasoning, the choice of triple store, etc.
        </p>
        <p>CR3. Extension of RDF(S)/OWL semantics: It focuses on the extent to which the models
extend the semantics of RDF(S) or OWL to add a temporal dimension. Evaluating the
semantic extensions helps understand how well the models capture temporal information
and reasoning capabilities.</p>
        <p>CR4. Use of native SPARQL for querying: The ability to query the data using native SPARQL
is an essential criterion for evaluating the usability and accessibility of the models.
CR5. Expressivity of model-defined temporal semantics : This criterion examines the
richness and expressiveness of the temporal semantics against each requirement.
Evaluating expressivity helps to determine the level of detail and complexity that can be captured
when modeling temporal information. In particular, if the model is capable to represent a
requirements, e.g. intervals, time stamps, interval relations, etc.</p>
        <p>CR6. Use of OWL reasoning: This criterion explores the use of OWL reasoning to derive new
data and observe the influence of an RDF extension on reasoning capabilities. Assessing
the impact of OWL reasoning on the modeled temporal data provides insights into the
models’ inferencing capabilities.</p>
        <p>CR7. User-friendliness of a model: Considering the cultural heritage domain, it is crucial to
bear in mind that the potential users of the systems are often domain experts with little
to no experience in RDF and querying. Therefore, an additional important criteria refers
to nativity of each modeling approach. This criterion focuses on evaluating how intuitive
and user-friendly the models are for domain experts, ensuring that they can efectively
utilize the models without extensive querying knowledge.</p>
        <p>In the next steps of the research, the existing models are evaluated based on the pre-defined
characteristics. For this, sample RDF data from the use cases for each REQ are created using
the existing RDF extensions described in Section 2. At the moment of writing the evaluation
is ongoing. Several criteria are being considered, including both general aspects of the model
and specific requirements. Regarding the model in general, CR2 examines whether the model
utilizes the abstract syntax of RDF and identifies the concrete syntaxes employed, such as TTL,
TriG, or TTL*, since this efects the model usability. CR3 reports the underlying semantics on
which the extension is built on, e.g. RDF(S), OWL, annotated logic, etc. CR4 determines if the
SPARQL is suficient for querying the graph or what alternative query languages are utilized.
For each model, the remaining criteria are evaluated against the defined requirements to identify
strengths and weaknesses. For CR1, the number of triples/quads to model a requirement is
counted. CR5 evaluates if the extension enables expressive representation of a requirement,
e.g. if it allows for modeling time intervals or interval relations. For models that do not have a
specified time ontology, it is important to incorporate external vocabularies like
RDF*+OwlTime or RDF*+TimeLine to establish a suitable framework. To evaluate the user-friendliness of
the model, CR7, user testing sessions are required, where the feedback of representative users
on querying usability is to be collected.</p>
        <p>
          For CR6, the evaluation criteria to compare the OWL inference must be considered, since a
simple binary answer is insuficient. OWL inference operates on ontologies represented by
triples, while, e.g. Named Graphs do not have a standartized quad semantics and simply provide
a way to organize and label triples [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. Although some triple stores support OWL inference
over Named Graphs, the reasoning process does not directly consider the origins of triples
within Named Graphs. Similarly, tRDF (temporal reification) allows for OWL inference, but
the efectiveness of OWL language constructs becomes significantly restricted when dealing
with reified relationships. This limitation arises because much of OWL’s inference power is
dedicated to describing binary relations, such as cardinality, inverses, transitivity, etc. However,
when treated as classes, the OWL reasoning over relations becomes limited.
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>4. Conclusion and Future Work</title>
      <p>The presented research provides a significant contribution to the representation of temporal
information in cultural heritage knowledge graphs, addressing the critical yet challenging
aspect of incorporating temporality specifically for this domain. By defining specific modeling
requirements based on real use cases and proposing evaluation characteristics, it enables a more
user-oriented analysis and comparison of existing work in modeling temporal knowledge. It is
argued that evaluation of the approaches against individual requirements allows for a more
clear identification of models’ strengths and drawbacks. The process of requirement definition
is iterative and adaptable to address and fit to new use cases as they arise.</p>
      <p>In the next stages of the research, the focus will shift towards addressing RQ4 and RQ5. This
involves conducting evaluations of the existing work and presenting a comprehensive analysis.
The results obtained will then be utilized to derive guidelines for CH practitioners. Furthermore,
based on the insights gained from the evaluations and analysis, goal is to develop a new intuitive
and lightweight approach for modeling and reasoning over temporal data. This approach will
leverage the lessons learned to create an efective solution that is user-friendly and well-suited
for the unique challenges and complexities of the CH domain.</p>
      <p>Ultimately, the findings of this research will pave the way for advancements in time modeling
approaches within the cultural heritage field. By addressing the specific needs and requirements
of CH practitioners, it will contribute to the overall improvement and progress in handling
temporal knowledge in cultural heritage contexts.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments</title>
      <sec id="sec-6-1">
        <title>This work is supervised by Prof. Dr. Harald Sack.</title>
      </sec>
    </sec>
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