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Paper Citation Record · LEDGER

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings

As of 4 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2604.10604.

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

pith.paper-citation-record.v1
2604.10604 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T15:52:36.777259Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T05:35:58.568346Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact10
  • verified fuzzy5
  • unresolved0
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 788203ba-4562-4e75-9d7f-5fc3b8ad9f8c · outbound

This paper cites Artif Intell345, 104346 (2025).

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Artif Intell345, 104346 (2025)

Reference 1

Resolution
malformed identifier
doi_truncated, observed 2026-05-10T21:40:48.596073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:b31c113ee02944e599382ac151d29d726843c4d4719501cd69df5e57ccfa6ac4

Observation 4de3c36e-85e8-4709-b663-36a9cf21b212 · outbound

This paper cites Xuelu Chen, Michael Boratko, Muhao Chen, Shib Sankar Dasgupta, Xiang Lorraine Li, and Andrew Mc- Callum.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Xuelu Chen, Michael Boratko, Muhao Chen, Shib Sankar Dasgupta, Xiang Lorraine Li, and Andrew Mc- Callum

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T18:12:04.426013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:175f5679c6dcccd00bdd3dc062183f001636a7dfd603cc83e0098bf5ce5487c9

Observation 8db46420-1f84-4a8c-acc9-cc0d9888426a · outbound

This paper cites doi: 10.18653/v1/2021.naacl-main.68.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings doi: 10.18653/v1/2021.naacl-main.68

Reference 3

Resolution
verified exact
doi, observed 2026-05-10T21:40:48.565641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:e5887823f1316e98137dae777963324007bf1e599d2509b1bee68dcdfc59f42d

Observation 77635b25-f85b-49f0-b6a0-d56a803946d6 · outbound

This paper cites Hamilton, Payal Bajaj, Marinka Zitnik, Dan Jurafsky, and Jure Leskovec.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Hamilton, Payal Bajaj, Marinka Zitnik, Dan Jurafsky, and Jure Leskovec

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T18:12:04.421258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:9213c581e14909d1b82ea75ea067b2b26b05c58a22d4300173c84048e1aa26a6

Observation 4e77ce8d-48b0-4795-aa5b-42ee901ca48a · outbound

This paper cites Ofer Idan, Vladi Vexler, Gil Lederman, Dima Sivov, Aviad Cohen Zada, and Shir Niego Komforti.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Ofer Idan, Vladi Vexler, Gil Lederman, Dima Sivov, Aviad Cohen Zada, and Shir Niego Komforti

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:41:04.107781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:f78b126673b9a5135ecedcc9d081391d5bbd28ac7be26b3ec8191c5ecbc82fff

Observation 156af32c-7826-4b59-8211-94d0cd50c79b · outbound

This paper cites doi: 10.18653/v1/2020.acl-main.698.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings doi: 10.18653/v1/2020.acl-main.698

Reference 6

Resolution
verified exact
doi, observed 2026-05-10T21:40:48.598885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:2eed331f62fe9fc68651bfde2f0323b5dc78f8801ecd5416c41995ca2240ab93

Observation cf04d1e5-83f8-4465-9a80-a483b2849c53 · outbound

This paper cites QUEST: A Retrieval Dataset of Entity-Seeking Queries with Implicit Set Operations.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings QUEST: A Retrieval Dataset of Entity-Seeking Queries with Implicit Set Operations

Reference 7

Resolution
metadata mismatch
doi, observed 2026-05-10T21:40:48.586927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:5977ea5ebac6a6a809620df974e2b5346d75dbb79084a892376d51c304ecd22b

Observation b13f9587-0198-4a49-8c06-651bf4cf5f21 · outbound

This paper cites Tony A Plate.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Tony A Plate

Reference 8

Resolution
verified exact
doi, observed 2026-05-10T21:40:48.589548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:d1887179adab1d46a3d5e4b223853b63fa89c0d3626fbd8a715a6d8ceefd58e7

Observation b71815a4-6593-4fdb-8528-6fdc32ae8017 · outbound

This paper cites press/v139/radford21a.html.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings press/v139/radford21a.html

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T18:12:04.423402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:b7125fae5049d28b1aa9c10eae40b0defd8ce11fdfd81fd76ef6b6bd76d600bd

Observation 4eb25de5-20da-457f-9ebb-fda2eb26b80c · outbound

This paper cites Sentence- BERT : Sentence Embeddings using S iamese BERT -Networks.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Sentence- BERT : Sentence Embeddings using S iamese BERT -Networks

Reference 10

Resolution
metadata mismatch
doi, observed 2026-05-10T21:40:48.581868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:98d8c92c2b0e0c774e94c61ba4ed181f2ffc92acc2682c769693835db2ee4f42

Observation ce7abeaa-9d32-48eb-8331-2ff802871683 · outbound

This paper cites neurips.cc/paper_files/paper/2020/file/e43739bba7cdb577e9e3e4e42447f5a5-Paper.pdf.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings neurips.cc/paper_files/paper/2020/file/e43739bba7cdb577e9e3e4e42447f5a5-Paper.pdf

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T18:12:04.428986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:dc783b33da70b2a8246a7db5e69a18e49d81a906e9a5a4483bc4622ac26d90a7

Observation 5a3f327d-50ba-4a46-bb3f-e44399794202 · outbound

This paper cites Luciano Serafini, Ivan Donadello, and Artur d’Avila Garcez.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Luciano Serafini, Ivan Donadello, and Artur d’Avila Garcez

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-10T21:40:48.575183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:987c049fcf1b35d6a04a3548381c7609e8f4f831530818adc0b7845c51fcbc65

Observation cd617d7d-af95-4616-adc9-3e7d09e1ed3c · outbound

This paper cites ISBN 979-8-89176-332-6.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings ISBN 979-8-89176-332-6

Reference 13

Resolution
verified exact
doi, observed 2026-05-10T21:40:48.584535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:2ed987cb87ec3cd70540c15016e17e5657836ecf0ec18a345800cf67030e745a

Observation 9dc73324-7816-4a36-8019-74701feb2fa8 · outbound

This paper cites Tensor Product Variable Binding and the Representation of Symbolic Structures in Connectionist Systems , url =.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Tensor Product Variable Binding and the Representation of Symbolic Structures in Connectionist Systems , url =

Reference 14

Resolution
verified exact
doi, observed 2026-05-10T21:40:48.601746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:30f4a1a58459aa4384379e1ebab1bf5753e61e000b2c6e49c9f6cb423f969f77

Observation cf49218a-4b5a-433f-b6b6-4a9ecc6832f2 · outbound

This paper cites doi: 10.18653/v1/2024.eacl-long.139.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings doi: 10.18653/v1/2024.eacl-long.139

Reference 15

Resolution
verified exact
doi, observed 2026-05-10T21:40:48.568102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:844e8db572d45a150c65125b23d174d48a18759de1ccc7d752901441411461b9

Observation 11950544-6bb9-47fc-b7f1-1b33fdc3dfb5 · outbound

This paper cites When and why vision-language models behave like bags-of-words, and what to do about it?.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings When and why vision-language models behave like bags-of-words, and what to do about it?

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:41:04.121070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:ae6584a594b0e6555c5b369c782962f8dda25dd3a6524d078dbf2d6c5f1adbe0

Observation 88f49143-6d16-4ec6-9489-dd800d71cd9e · outbound

This paper cites pull" toward the target. ThisjustifiestheNSFLrequirementtoweightlogicalfusionsbytheminimummarginalcontribution, ensuring that high-similarity atoms (e.g., a.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings pull" toward the target. ThisjustifiestheNSFLrequirementtoweightlogicalfusionsbytheminimummarginalcontribution, ensuring that high-similarity atoms (e.g., a

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T18:12:04.418735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:bfc28c01801e2506c16db5fda924ddb0021efb58a36841e4aaaf55b6f1cc8c34

Observation 2c4529d3-1ddb-4553-aba8-5e43e465f8f0 · outbound

This paper cites Table 7: Recall@K Comparison on QUEST using LogiCoL-e5-v2.

NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings Table 7: Recall@K Comparison on QUEST using LogiCoL-e5-v2

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:41:04.126096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T15:52:36.777259Z digest=sha256:bc07912915dc038ef0f2f30cf51e82052bbcef17bf95b2fdbe8dbe38e59b3ce3

Pith citing papers

Observation 3e3b09f0-d7ab-43ba-ae61-813a404d7738 · inbound

Training, Reading, and Editing Legible Transformers cites this paper.

Training, Reading, and Editing Legible Transformers NSFL: A Post-Training Neuro-Symbolic Fuzzy Logic Framework for Boolean Operators in Neural Embeddings

Reference 32

Resolution
unresolved
no resolver link, observed 2026-07-13T05:35:58.568346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T05:35:58.568346Z digest=sha256:ad1fd7233f1ef677e3971a28d203bfb3223b8744436ac2a32397bfc5a2580419