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Paper Citation Record · LEDGER

Explicitly Encoding Structural Symmetry is Key to Length Generalization in Arithmetic Tasks

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2406.01895.

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

pith.paper-citation-record.v1
2406.01895 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:54:29.246988Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T23:42:49.931448Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 59e12e02-2026-4117-8909-33bca768cc5a · inbound

Self-Improving Transformers Overcome Easy-to-Hard and Length Generalization Challenges cites this paper.

Self-Improving Transformers Overcome Easy-to-Hard and Length Generalization Challenges Explicitly Encoding Structural Symmetry is Key to Length Generalization in Arithmetic Tasks

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-09T14:54:29.246988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:54:29.246988Z digest=sha256:08bc57cba0a45457df880bf0b0e932a68cfb3eeaf15973fc456849ada57e8d22

Observation 0d1d0ade-6547-41b4-9726-06fefd1abf76 · inbound

Extrapolation by Association: Length Generalization Transfer in Transformers cites this paper.

Extrapolation by Association: Length Generalization Transfer in Transformers Explicitly Encoding Structural Symmetry is Key to Length Generalization in Arithmetic Tasks

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T04:59:23.494086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:59:23.494086Z digest=sha256:0b1fa483ff6cbf08b367a31998958c7b1708b77264d45a8ebed49722f9f1e4ec

Observation 0b9e65bd-5214-43bb-ac4c-686f41de9c33 · inbound

Autoregressive Learning in Joint KL: Sharp Oracle Bounds and Lower Bounds cites this paper.

Autoregressive Learning in Joint KL: Sharp Oracle Bounds and Lower Bounds Explicitly Encoding Structural Symmetry is Key to Length Generalization in Arithmetic Tasks

Reference 63

Resolution
verified exact
arxiv_id, observed 2026-05-13T06:57:27.829525Z

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.

source=arxiv_source observed=2026-05-13T06:55:33.934110Z digest=sha256:51138b258e7d847dc00cd99007994dd10c6be0c1b8d9c3ff051d13eb59d6ce39

Observation 3fced1af-a106-4cd4-ab0c-40db9aa44c4b · inbound

Agentic Transformers Provably Learn to Search via Reinforcement Learning cites this paper.

Agentic Transformers Provably Learn to Search via Reinforcement Learning Explicitly Encoding Structural Symmetry is Key to Length Generalization in Arithmetic Tasks

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-06-28T23:42:49.932671Z

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.

source=arxiv_source observed=2026-06-28T23:26:28.158991Z digest=sha256:343f44faefb0943bab36574e2fcfc8441094e1b2df4d7c577c91bb1884e9b4e6