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Paper Citation Record · LEDGER

Towards a Neurosymbolic Reasoning System Grounded in Schematic Representations

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.308631Z digest=sha256:44787eb85b324b9199fa2874a51d266d0d3cb8c47a9cdc9f70bae8d22d4724a2

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.360970Z digest=sha256:e1c3e7f2408576615e66a5aa1ead9e2253886c9494b6f6e309ffb3c19b616e6a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.463316Z digest=sha256:7a399e949bfbb2b468e61aa69fd79a12bfac784bb2d025aa7cd9ba67fe8ece7f

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=sha256:64c5f6b668a247d014f34085b973c39d12fb23f13e02d74006e8f213f4f21549

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.635137Z digest=sha256:c615f139ae184e0f727b2590bbf5f326599684ace50a105ff58022f4a1b6ca8a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.741098Z digest=sha256:09aeb12b232c5af9dfb56fd7ae161db65801b09d81d319d51d19b633198edbdb

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.815032Z digest=sha256:ca6350cec0bba3d85944da4f4fc1c821aaf277eb2d8736ada5adca09c3f5ffde

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:27.905545Z digest=sha256:b6acb527b13aaf70e03aae8bbb3847dde3b0c1916accc5a20efc832245146b77

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.002157Z digest=sha256:f44478959949a5a178b60023fced809f449cd4c38592ba61f4c072e3c47892ca

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.098829Z digest=sha256:9c50253f0d34c0e625a316c99d76c196883b3a8ee07f4d4f5b16fd194fb4218e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.151242Z digest=sha256:12891d2148530d9619a7aedeccbab945158ff887abc5ddfe2b3dd433275ffbeb

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=sha256:5b7a704813549d867df782f7e44d6b4501bc5e118f4f6ba1b1253bc1f86b6419

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.355993Z digest=sha256:918445d85fe8705ac785d86070052c662af3cf063bba34ea10591f9f794a23b7

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.459123Z digest=sha256:831e73dd2a209fbb4686339f15783df10da64464b64e080d97be19a240ecda53

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.569319Z digest=sha256:0f9e386a820e590b6bfabce11f686b0f43feff90641c0ac655af9133758b59f4

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=sha256:7def66134c1bd835ac4c942251878a37ee939ab9656248e8c507d43fd570c851

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:28.835690Z digest=sha256:b792417104d94dd407510e25fbc52af5cad4e47610102475bfd80955a66e6960

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=sha256:3fd0cdad7a3f60b427d71f2663caea45ffa3efb58419ab47a5604384f13d8c76

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.068193Z digest=sha256:e8aa9d2a9063bfbb0627a5329a0403a106dd465471eec8d8e10d8fa45fc759dd

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.182251Z digest=sha256:8ebcc24719b7473f778f04eb422e10346d387551b05950ebfec67032d586dd84

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.299055Z digest=sha256:72661fe6b25c3ea235c28cb272145f8f1bdcb73bfa81f4a0e7638280cb88eced

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.411828Z digest=sha256:06841cfab12a3eea4dc9b93af1a7c502890744883df0948a3f1417d4ed463a18

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.515203Z digest=sha256:9e290a592bebb927723c13077feb3ac67d23a22f68a4b213e038436151c0e92b

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.576074Z digest=sha256:c7cec40bbc3701ca6878390caf31758a144ef2985c4563bd89a73cfa8b0c1b11

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.656054Z digest=sha256:a0825ccf81eff177110be07eac2f9ddb44b17e971d3ec6d0b63bb5b260416c7d

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=sha256:6b26c893543737cb6e1c166d4e9d29def5a62198418d7306ffd8f165e22fb882

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:29.852951Z digest=sha256:472bb84f3b0492fe1f96cd11a690ee249382fbb4b574b36c2c143dbf892e77fe

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=sha256:871cb5b2df1e7b66a1a341d94477956b9473375fb339dbd45978e32c1b493b8f

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:30.000182Z digest=sha256:e21f8e03b79305714f39a413aa3fd9f7c1a1e73702482310e84eaf017524c09b

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=sha256:3ee84800638a9bee90074eff5a71a2b49b8ed3bb150601caeb7eaf92c7b693a8

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T10:50:30.219171Z digest=sha256:82c31aacb334396a3b42e00d2b6703523860a37ddc3fbca097d8359df5ffb30a

Pith citing papers

No inbound Pith citation observations are available.