Paper Citation Record · LEDGER

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs

As of 9 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2506.07824.

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

pith.paper-citation-record.v1
2506.07824 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:31:00.862179Z

measured 24 of 24 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T23:15:30.893052Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T23:52:49.764866Z

Reference resolution

22 of 22 outbound references displayed

verified exact2
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ec994ac5-e96e-4694-91fa-2e83af2e5674 · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 1

Resolution: malformed identifier; no resolver link, observed 2026-08-07T05:31:00.651043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae423dc0-6999-4c73-b25a-943ea881b18a · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:01.248338Z

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.

Observation 06425b7c-9128-41b6-bf8f-1d2a43902851 · outbound

This paper cites The Llama 3 Herd of Models.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs The Llama 3 Herd of Models

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.660352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 308ac2c6-dd85-43a7-a158-d9b042bcb7c1 · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.665234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7f3a0be-2331-448e-a63f-9ea65be1d96d · outbound

This paper cites Mistral 7B.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Mistral 7B

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.670179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e15b5c56-720f-486b-9311-fd166e6e9a5d · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.674721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b4e1f0c-5297-454a-93d8-4a2507fb9ff4 · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.679561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30e5b1d0-2c3d-4bb8-8103-cd33b3678f08 · outbound

This paper cites Carrying over algorithm in transformers.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Carrying over algorithm in transformers

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:31:01.086124Z

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.

Observation bd6c0215-8e1d-4056-aac9-903d06f220fc · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.688178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 846a8538-4872-4515-b72c-7051e4760e82 · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.692012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 824d80ad-f0e2-4387-bde5-740d2e0b2f93 · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:01.214024Z

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.

Observation fccaa56d-cf56-48b5-8037-25fe20bd6e74 · outbound

This paper cites Arithmetic Without Algorithms: Language Models Solve Math With a Bag of Heuristics.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Arithmetic Without Algorithms: Language Models Solve Math With a Bag of Heuristics

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.700257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44a74dd8-7fab-465b-8dd9-b2ae931ccdf9 · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:01.199823Z

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.

Observation 12cf3a43-4992-4d6a-9a5b-20c04c238c2d · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:01.184839Z

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.

Observation 4f8d6628-67ca-488f-b13a-38a6ac1cc56f · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.713612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9196e15-08e2-4602-9583-591cf8d256dc · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.717554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 761dd721-13ec-4142-98b8-a92815610e78 · outbound

This paper cites Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.721508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86035af4-b0df-49c8-85ee-2ff6c1db0763 · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T05:31:00.899931Z

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.

Observation 05a1fc89-b768-4bda-b33d-79899ab6951b · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:01.170111Z

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.

Observation 64e3bda3-e653-42e8-ae8b-79ff921de437 · outbound

This paper cites an unresolved cited work.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:01.155221Z

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.

Observation 54e1d2a6-74c3-4f7e-8050-0af07279d9ee · outbound

This paper cites online" 'onlinestring :=.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs online" 'onlinestring :=

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.857160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43200202-badb-487b-930d-5c7afaa856cb · outbound

This paper cites write newline.

Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs write newline

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:00.862179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation e9c8fb07-afb1-4f53-a4a0-87713bd90a92 · inbound

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models cites this paper.

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-06-28T23:52:49.766175Z

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.

Observation 090cb58f-41a5-456a-8a6e-d5d2151b432e · inbound

Verbalizable Representations Form a Global Workspace in Language Models cites this paper.

Verbalizable Representations Form a Global Workspace in Language Models Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs

Reference 179

Resolution: unresolved; no resolver link, observed 2026-08-01T23:15:30.893052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.