Paper Citation Record · LEDGER

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.21405.

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

pith.paper-citation-record.v1
2607.21405 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:35:41.841760Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

17 of 17 outbound references displayed

verified exact4
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a40bb3e6-8b4d-42a2-9bbf-9dd6adfe719e · outbound

This paper cites G., Bradley, H., O'Brien, K., Hallahan, E., Khan, M.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable G., Bradley, H., O'Brien, K., Hallahan, E., Khan, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:40.431692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4409eb8-1da2-4297-909f-68b16fa5d159 · outbound

This paper cites Extending Context Window of Large Language Models via Positional Interpolation.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Extending Context Window of Large Language Models via Positional Interpolation

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:40.490349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f245b7f5-102a-4d00-a9a4-0e511dff2e67 · outbound

This paper cites L., Zhang, C., Xu, Y., Shang, N., Xu, J., Yang, F., & Yang, M.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable L., Zhang, C., Xu, Y., Shang, N., Xu, J., Yang, F., & Yang, M

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:40.598142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba9d7869-9835-4ff8-85c4-48edcf227b86 · outbound

This paper cites an unresolved cited work.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T07:39:03.118766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ea40aad2-f316-4857-a9a8-d7c2e5e59014 · outbound

This paper cites Expanding Expressivity in Transformer Models with M\"obiusAttention.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Expanding Expressivity in Transformer Models with M\"obiusAttention

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-01T07:39:02.752214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation db1bc49c-d97e-4d91-a2af-8561e33d291c · outbound

This paper cites an unresolved cited work.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:40.922821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93aeff76-d3e4-480c-a9a7-457196b6b95f · outbound

This paper cites Periodic RoPE for Infinite Context LLMs.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Periodic RoPE for Infinite Context LLMs

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-01T07:39:02.384991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4b464dd1-37a5-42e7-bb14-5f29587ff2fe · outbound

This paper cites an unresolved cited work.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.132820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce015e6c-f600-4fdc-b51f-502344965d6b · outbound

This paper cites The Impact of Positional Encoding on Length Generalization in Transformers.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable The Impact of Positional Encoding on Length Generalization in Transformers

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.242214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ce0542f-4720-4c70-9d25-b8922b58fbb4 · outbound

This paper cites an unresolved cited work.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-08-01T07:39:01.280558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ad771110-a6ec-48d0-9881-41c3c41cf7d3 · outbound

This paper cites Landmark Attention: Random-Access Infinite Context Length for Transformers.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Landmark Attention: Random-Access Infinite Context Length for Transformers

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.439334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 973a869c-678b-46fc-a49b-db3914ff6a90 · outbound

This paper cites an unresolved cited work.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.503931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4352fd25-c92d-46a9-ac8c-b36aef3438a6 · outbound

This paper cites The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scale.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scale

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.580908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0107720d-93a3-41ce-87fe-b2891e82b6b0 · outbound

This paper cites an unresolved cited work.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.638277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5be88888-3e74-44fa-94de-42e1e2c6e514 · outbound

This paper cites A., & Lewis, M.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable A., & Lewis, M

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.718858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9f3f966-80eb-4185-be56-7f331880b48d · outbound

This paper cites an unresolved cited work.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.788563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94ce5ca3-375d-4df3-9d13-e0926b9b8dc2 · outbound

This paper cites an unresolved cited work.

Anti-Periodic Positional Encoding: M\"obius Boundary Conditions Make In-Context Retrieval Reliable Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T07:35:41.841760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.