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Paper Citation Record · LEDGER

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2509.03644.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.03644 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:50:30.219171Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

  • verified exact3
  • verified fuzzy21
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0fc46e06-4040-4400-a71d-12ac2203e631 · outbound

This paper cites CLP(QS): A declarative spatial reasoning framework.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations CLP(QS): A declarative spatial reasoning framework

Reference 1

Resolution
verified exact
doi, observed 2026-08-05T10:50:30.604754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.308631Z digest=sha256:f820b016377f32c9fe6e418453add2fddf29ffaa5c0889273a182b8cf2511748

Observation 294a4fd2-5b05-438d-8975-a36d79e6d801 · outbound

This paper cites A uniform treatment of aggregates and constraints in hybrid asp.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations A uniform treatment of aggregates and constraints in hybrid asp

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:34.160561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.360970Z digest=sha256:9142bbcf4c0eddd1165e101811aed6e59e5ab2a6d9484fbacfe73ebddd72729c

Observation e76d4644-5a85-4619-b824-c8886d7de8ab · outbound

This paper cites Asp-core-2 input language format.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Asp-core-2 input language format

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:34.146307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.463316Z digest=sha256:13be05f499557a9973e187ee543cfff34efb5f4ea1d3c78e0884482fe0526a39

Observation 42f9346a-4fac-495a-93d2-e850b7b58111 · outbound

This paper cites Verus-lm: a versatile framework for combining llms with symbolic reasoning, 2025.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Verus-lm: a versatile framework for combining llms with symbolic reasoning, 2025

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-05T10:50:27.560797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:50:27.560797Z digest=sha256:4b20e15ce6caab37bf222de78e37c6d39065339dc9d7ad799b51c74bfd56ecdb

Observation cb68d471-d07f-4ca5-84f2-e9713a5b0a58 · outbound

This paper cites Formal specification of image schemata--a step towards interoperability in geographic information systems.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Formal specification of image schemata--a step towards interoperability in geographic information systems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:34.131278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.635137Z digest=sha256:39d74a40fcdf8f14629a8638d476ee3cedc2601df1cbd4c13be2b68da5e31d5f

Observation 02faa1b6-5764-4f88-95f4-65eac50cb936 · outbound

This paper cites Theory solving made easy with clingo 5.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Theory solving made easy with clingo 5

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:34.116823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.741098Z digest=sha256:859deaf80d2894027d03f5effaa2a744b57f790379d0fc2f5042b7a2df689c50

Observation 430cde54-d368-46b8-8b2e-12c25c3d4504 · outbound

This paper cites Image schemas and concept invention: cognitive, logical, and linguistic investigations.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Image schemas and concept invention: cognitive, logical, and linguistic investigations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:34.028711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.815032Z digest=sha256:b17f765ff816d3b64c20854a0d67171fe32ea90844428f4a0d7a62a218c4210f

Observation 84596f19-ddaa-43da-86d6-37172304a706 · outbound

This paper cites The diagrammatic image schema language (disl).

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations The diagrammatic image schema language (disl)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:33.880344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.905545Z digest=sha256:427208c54a31dfdc7dd4f166baf7aeba5361b7641697c5dc4e73423222cdd91d

Observation 60340ecc-07b9-4585-ac90-d11925506dd5 · outbound

This paper cites Leveraging large language models to generate answer set programs.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Leveraging large language models to generate answer set programs

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:33.651252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.002157Z digest=sha256:d46aae4af9d965ebc4b3b825f0b4192d18f1814c8eb7b1473afc2b3450f31c68

Observation 2bb7598d-3743-4049-bcf9-e2e020f43163 · outbound

This paper cites The body in the mind: The bodily basis of reason and imagination.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations The body in the mind: The bodily basis of reason and imagination

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:33.332776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.098829Z digest=sha256:7ccbf9a5ed48a955deccbed6d3fdec444230780307e59d222634284255ba6e62

Observation 16ab057c-0c31-4e90-bc9d-c8e03075708d · outbound

This paper cites How to build your own asp-based system?! Theory and Practice of Logic Programming, 23 0 (1): 0 299--361, 2023.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations How to build your own asp-based system?! Theory and Practice of Logic Programming, 23 0 (1): 0 299--361, 2023

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:33.114083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.151242Z digest=sha256:a74c0e62ae3c01026d9003ec4ad7cba1121c058a532d184364a8932a28e51846

Observation 79e5d8af-93bf-4910-a726-2cab5ff51a45 · outbound

This paper cites LOGIC-LM++: Multi-Step Refinement for Symbolic Formulations.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations LOGIC-LM++: Multi-Step Refinement for Symbolic Formulations

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-05T10:50:28.239036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:50:28.239036Z digest=sha256:d891ddf6142d5edbbf9608ea0f055c352319d9fd2f2a8ace093815576009dbcf

Observation da110a91-db61-4de2-9c44-d16c9885d400 · outbound

This paper cites Metaphors We Live By.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Metaphors We Live By

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:32.796305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.355993Z digest=sha256:7f3b80b0001ca561682b9843b9274bb6c03788370c0bddd64659fd00179c5813

Observation edbc5bde-2078-4afb-a1b7-8bb7a0a2eec8 · outbound

This paper cites Where mathematics comes from, volume 6.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Where mathematics comes from, volume 6

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:32.595667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.459123Z digest=sha256:7cc450d97ee108dba66b0d923c836c8a8f584a59790e4cedbf7e5274d0f86735

Observation 789dad06-bde9-4beb-acef-7dcd3fa9bc3e · outbound

This paper cites Clingo2dsr-a clingo-based software system for declarative spatial reasoning.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Clingo2dsr-a clingo-based software system for declarative spatial reasoning

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:32.355933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.569319Z digest=sha256:162969592e4e9d097757192c79941fd30550257ab7bdfe367bbb757f7c28733c

Observation 33833645-ab9a-4108-918e-5af98303cffc · outbound

This paper cites Ivanova, Idan A.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Ivanova, Idan A

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-05T10:50:28.696157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:50:28.696157Z digest=sha256:b4eeb678fea46fbd648f6f878d52deb4b759a39b80c7140e193c8b674bd7c368

Observation 4c4147c4-744e-4c2e-980a-4a1c2af314ad · outbound

This paper cites On defining image schemas.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations On defining image schemas

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:32.177299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.835690Z digest=sha256:cb54ea82961c5d8b1edb402dc110e5f82b850d50897e63f15aa8962edc7746d2

Observation ac61b992-31eb-42cb-8f07-9b25bab39f80 · outbound

This paper cites Embers of Autoregression: Understanding Large Language Models Through the Problem They are Trained to Solve.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Embers of Autoregression: Understanding Large Language Models Through the Problem They are Trained to Solve

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-05T10:50:28.986221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:50:28.986221Z digest=sha256:b9a5f82d6d67188443fd49ad8a14932a7c64988a0f1ab0e2a9f7a203de789124

Observation b3af5396-8500-44d3-b77f-6fd8148f0d29 · outbound

This paper cites Spatial relations in reasoning : a computational model.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Spatial relations in reasoning : a computational model

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:32.058243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.068193Z digest=sha256:eb1f2d5526b9208c582f28974a6f22753be1ec1c8fb3dce8bb3f7f5c3a7bb0b8

Observation c2735fea-a068-413c-b4e0-2e9065c68731 · outbound

This paper cites Grounding agent reasoning in image schemas: A neurosymbolic approach to embodied cognition.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Grounding agent reasoning in image schemas: A neurosymbolic approach to embodied cognition

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:31.931474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.182251Z digest=sha256:65c1c70fab4b08b45026a777e622a9283c8e709116264ebfabb523b3faae878c

Observation fa58b2b4-0463-44f6-942a-91659b4f2f3d · outbound

This paper cites Logic-lm: Empowering large language models with symbolic solvers for faithful logical reasoning.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Logic-lm: Empowering large language models with symbolic solvers for faithful logical reasoning

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:31.802146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.299055Z digest=sha256:3e245045d24e8c81040047c8abc1856cf53758078ff9a2eddfeec6336b7e32a5

Observation b3a1c851-cfc6-4eab-90b7-9d2cf830bcba · outbound

This paper cites Computational geometry: an introduction.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Computational geometry: an introduction

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:31.671457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.411828Z digest=sha256:b246042dbda94b3b74863abc19b10319cd83a6433d0d1bd2c9fedaed78529553

Observation fa7a47bd-8e99-4916-8eae-f037550a57a0 · outbound

This paper cites language is spatial.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations language is spatial

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:31.521829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.515203Z digest=sha256:f5add5211c057bedc242491e497e1be899bad6b50bafec62ae54a237de48c1aa

Observation ea64caa1-2a09-4067-ac3e-6181b17d8929 · outbound

This paper cites Answer set programming modulo ‘space-time’.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Answer set programming modulo ‘space-time’

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:31.395616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.576074Z digest=sha256:b2db36b25bf08b5184610a964e710f12e1a1b156d80bd34251f99a3310f7d009

Observation 36c076e5-87ed-4bb9-b626-fc3747c4da7c · outbound

This paper cites Semantic Properties of Diagrams and Their Cognitive Potentials.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Semantic Properties of Diagrams and Their Cognitive Potentials

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:31.222848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.656054Z digest=sha256:4d9445e7598fc0d54e02b577d0d436c9e74f3ac5b5b7581ec9b34a71e469bf02

Observation ca2b94d9-0269-4cd1-8c6a-327474dc476c · outbound

This paper cites Beyond the Imitation Game: Quantifying and extrapolating the capabilities of language models.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Beyond the Imitation Game: Quantifying and extrapolating the capabilities of language models

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-05T10:50:29.767755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:50:29.767755Z digest=sha256:d88b4aa4f6ae0907f28591e0394cbd7b9052a69e6dfaaf4d376ddc9cca92b3d4

Observation 59ddfea9-4f96-4040-b2e3-02c06dcd271e · outbound

This paper cites Talking about the Moving Image: A Declarative Model for Image Schema Based Embodied Perception Grounding and Language Generation.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Talking about the Moving Image: A Declarative Model for Image Schema Based Embodied Perception Grounding and Language Generation

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:50:30.741266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.852951Z digest=sha256:2c27ff126c0badb9df75fb46e72e52b5433cf2abe2509cbdfcac0766ce9bfd81

Observation b77e86b5-0dfc-45cd-9393-6f8bc02fa78e · outbound

This paper cites L anguage (re)modelling: T owards embodied language understanding.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations L anguage (re)modelling: T owards embodied language understanding

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-05T10:50:29.915661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:50:29.915661Z digest=sha256:b8abf03247f7bc5a8f324a783cf2979647db6779b782420aeb9340156f6b2f35

Observation 10b369a9-ae04-4551-840c-a2655b0cd7bd · outbound

This paper cites Systematic analysis of image schemas in natural language through explainable multilingual neural language processing.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Systematic analysis of image schemas in natural language through explainable multilingual neural language processing

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:50:31.064626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:30.000182Z digest=sha256:70a377e7c0f97032695fdb6623bc057f215a6f470af41dee63f6b57cd601bc53

Observation 41108e51-2fb0-48c7-854b-9c4e350d6551 · outbound

This paper cites Non-monotonic spatial reasoning with answer set programming modulo theories.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Non-monotonic spatial reasoning with answer set programming modulo theories

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-05T10:50:30.075014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:50:30.075014Z digest=sha256:df5bd43c41eb83a4b9576c23b0c5a8f04a7a73f911a9eea9b06a62bdd02ca03b

Observation a6c71824-1482-4659-a8c9-8ede7221352b · outbound

This paper cites Exploring spatial schema intuitions in large language and vision models.

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations Exploring spatial schema intuitions in large language and vision models

Reference 31

Resolution
verified exact
doi, observed 2026-08-05T10:50:30.392338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T10:50:30.219171Z digest=sha256:1808ebcf856b03b761e658d24f3779bb9af4de96eda4d891e1bbf890eb60fe68

Pith citing papers

No inbound Pith citation observations are available.