Paper Citation Record · LEDGER

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2504.16312.

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

pith.paper-citation-record.v1
2504.16312 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:12:54.759401Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

21 of 21 outbound references displayed

verified exact0
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 73e47b87-feb6-44f1-a6db-0ab2210c473a · outbound

This paper cites Generating Natural Language Adversarial Examples.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Generating Natural Language Adversarial Examples

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.679674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c8dcd3f-76b2-4de1-9790-537595e5db9b · outbound

This paper cites The Reversal Curse: LLMs trained on "A is B" fail to learn "B is A".

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives The Reversal Curse: LLMs trained on "A is B" fail to learn "B is A"

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.684418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f42014f1-d73a-4634-8b49-732f3714c4fa · outbound

This paper cites Editing Factual Knowledge in Language Models.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Editing Factual Knowledge in Language Models

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.688838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5fde5cf-2236-44b0-a2bc-a1cd4b59b528 · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.693476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6789b1d-082a-4246-a51b-090e3882dcb7 · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:12:55.027982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2a410804-91de-44d6-8494-6cdcfe877272 · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:12:55.012846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c699b801-3b58-4c3b-8e92-0799f43398a3 · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.705482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2967dc4-5a28-4324-8848-b41142f899fe · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:12:54.999144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8ab81127-33d6-45f4-934b-96ec566e0e0d · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:12:54.985931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0c2101a0-073d-4916-af4e-8fd14d87c6d3 · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.716414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12de185b-fe39-4332-87e5-51292f267f95 · outbound

This paper cites Thomas McCoy, Paul Smolensky, Tal Linzen, Jianfeng Gao, and Asli Celikyilmaz.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Thomas McCoy, Paul Smolensky, Tal Linzen, Jianfeng Gao, and Asli Celikyilmaz

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.720140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e241669-6ce1-462b-b25b-a4a22bb80353 · outbound

This paper cites Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.724135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd7ff8e9-3150-4242-8262-fa5455db5f54 · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:12:54.971895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 324645ec-1572-4a20-b9c3-166e05c9d436 · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:12:54.958466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bca56780-a860-4004-8cee-9c8a5b8c4b82 · outbound

This paper cites Recent Advances in Natural Language Inference: A Survey of Benchmarks, Resources, and Approaches.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Recent Advances in Natural Language Inference: A Survey of Benchmarks, Resources, and Approaches

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.735098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76c01029-33a3-4623-969f-5bf11ec4a7c9 · outbound

This paper cites RotatE: Knowledge Graph Embedding by Relational Rotation in Complex Space.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives RotatE: Knowledge Graph Embedding by Relational Rotation in Complex Space

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.739044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8394c8d-3d33-4348-98ed-3f975f2074ae · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.743033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8065f769-f016-46cf-a368-0e8870a26d9f · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.746611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a71b4c0-813f-4ec5-89a9-4b4a1a6e7ba1 · outbound

This paper cites an unresolved cited work.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.750274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6c7792a-11a2-439c-9c3c-15451f58a7f6 · outbound

This paper cites URL: " 'urlintro :=.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives URL: " 'urlintro :=

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.754486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7961a7c-b220-4d09-a2e6-84bc6c4eb109 · outbound

This paper cites write newline.

Capturing Symmetry and Antisymmetry in Language Models through Symmetry-Aware Training Objectives write newline

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T11:12:54.759401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.