Paper Citation Record · LEDGER

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2607.06621.

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

pith.paper-citation-record.v1
2607.06621 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T01:22:42.362833Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T04:11:56.715045Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact12
verified fuzzy5
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9e513f52-5f5b-4ca8-b548-3b7fc48676d6 · outbound

This paper cites Round and Round We Go! What makes Rotary Positional Encodings useful?.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Round and Round We Go! What makes Rotary Positional Encodings useful?

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.815678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3763d4e1-ff0d-4dc1-a2a2-ed460773dfe1 · outbound

This paper cites Birth of a Transformer: A Memory Viewpoint.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Birth of a Transformer: A Memory Viewpoint

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-07-11T01:27:45.916218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0263016f-c4ea-49cd-a9c5-1ff71922d6b9 · outbound

This paper cites From embeddings to dyson series: Transformer mechanics as non-hermitian operator theory, 2026.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention From embeddings to dyson series: Transformer mechanics as non-hermitian operator theory, 2026

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-11T01:27:46.047042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4d673c95-d6ac-4950-bf67-c13aa3d3859c · outbound

This paper cites Sudden Drops in the Loss: Syntax Acquisition, Phase Transitions, and Simplicity Bias in MLMs.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Sudden Drops in the Loss: Syntax Acquisition, Phase Transitions, and Simplicity Bias in MLMs

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-07-11T01:27:45.662308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cb4c8b1a-93f5-4a03-bb9c-304c1b1fb65f · outbound

This paper cites Symmetric Dot-Product Attention for Efficient Training of BERT Language Models.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Symmetric Dot-Product Attention for Efficient Training of BERT Language Models

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.882106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1c61f26f-dd39-4e6a-be54-92a2f01d1945 · outbound

This paper cites A mathematical framework for transformer circuits.Transformer Circuits Thread, 2021.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention A mathematical framework for transformer circuits.Transformer Circuits Thread, 2021

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T01:27:50.392213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eb04e6b5-0e6c-4caa-b1a7-d48cfe8c69fd · outbound

This paper cites Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.626195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a3581ef9-95b6-4dd9-809a-a5b429fdaae0 · outbound

This paper cites Dissecting Multimodal In-Context Learning: Modality Asymmetries and Circuit Dynamics in modern Transformers.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Dissecting Multimodal In-Context Learning: Modality Asymmetries and Circuit Dynamics in modern Transformers

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.701609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9cb175b6-b972-4743-97ea-589654c9ea5a · outbound

This paper cites The Routing and Filtering Structure of Attention.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention The Routing and Filtering Structure of Attention

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:46.012609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3fb0962b-2c7b-4ccd-a05d-ec536699db49 · outbound

This paper cites Reformer: The Efficient Transformer.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Reformer: The Efficient Transformer

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.946504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6a03038b-2d44-48a4-936b-0d16115f6cfb · outbound

This paper cites Steering is cheaper than banning: Assistance-based selection of attention’s spectral solutions, 2026.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Steering is cheaper than banning: Assistance-based selection of attention’s spectral solutions, 2026

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T01:27:50.417715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5ecd75e9-b817-43a8-829d-3cccc984ee0c · outbound

This paper cites The singular value decompositions of transformer weight ma- trices are highly interpretable.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention The singular value decompositions of transformer weight ma- trices are highly interpretable

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T01:27:50.341591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7f08dedb-2f7b-4de7-b728-fda38e0d7667 · outbound

This paper cites In-context Learning and Induction Heads.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention In-context Learning and Induction Heads

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.774530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c88facb0-4d79-4405-a8e2-4d14f676780b · outbound

This paper cites The mechanistic basis of data dependence and abrupt learning in an in-context classification task.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention The mechanistic basis of data dependence and abrupt learning in an in-context classification task

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.554497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d0b653f-a371-4704-a334-cd1b7a02c734 · outbound

This paper cites The underlying structures of self-attention: symmetry, directionality, and emergent dynamics in transformer training.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention The underlying structures of self-attention: symmetry, directionality, and emergent dynamics in transformer training

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T01:27:50.366764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f2f99d38-a991-4329-8b16-884da7cfc69b · outbound

This paper cites What needs to go right for an induction head? A mechanistic study of in-context learning circuits and their formation.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention What needs to go right for an induction head? A mechanistic study of in-context learning circuits and their formation

Reference 16

Resolution: metadata mismatch; local_arxiv, observed 2026-07-11T01:27:45.979483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 546bab9f-fb27-4e85-927b-286c68f0f520 · outbound

This paper cites RoFormer: Enhanced Transformer with Rotary Position Embedding.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention RoFormer: Enhanced Transformer with Rotary Position Embedding

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.596439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 145ffcc3-181b-40d3-bae3-1ee873dded19 · outbound

This paper cites LLM Circuit Analyses Are Consistent Across Training and Scale.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention LLM Circuit Analyses Are Consistent Across Training and Scale

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.849078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2fb7cb14-a987-4d1f-a8a4-c8f73c7925e7 · outbound

This paper cites Decoupling positional and symbolic attention behavior in transformers,.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Decoupling positional and symbolic attention behavior in transformers,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T01:27:50.440342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c9d9d893-e316-4e3f-8214-65ddb482cfdc · outbound

This paper cites Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 small.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 small

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.735549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 67adae7d-f95d-4d12-ab0d-ca5aa3276493 · inbound

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator cites this paper.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T04:11:56.715045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.