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Paper Citation Record · LEDGER

Structure Development in List-Sorting Transformers

As of 10 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2501.18666.

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

pith.paper-citation-record.v1
2501.18666 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T23:32:04.162140Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:05:16.708158Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved19
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e380227f-6a6b-4851-9171-a23503c83bae · outbound

This paper cites Dynamical versus Bayesian Phase Transitions in a Toy Model of Superposition.

Structure Development in List-Sorting Transformers Dynamical versus Bayesian Phase Transitions in a Toy Model of Superposition

Reference 3

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Unavailable: canonical work link unavailable.

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Observation 6629d613-1d01-4573-8772-d29cd0a8e177 · outbound

This paper cites Sparse Autoencoders Find Highly Interpretable Features in Language Models.

Structure Development in List-Sorting Transformers Sparse Autoencoders Find Highly Interpretable Features in Language Models

Reference 4

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Observation 6db12390-48a0-49f9-a2d5-f2cf4d168b88 · outbound

This paper cites Successor Heads: Recurring, Interpretable Attention Heads In The Wild.

Structure Development in List-Sorting Transformers Successor Heads: Recurring, Interpretable Attention Heads In The Wild

Reference 8

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Observation cdb7e22b-82b1-4869-ab77-c55b246dfce2 · outbound

This paper cites How does GPT-2 compute greater-than?: Interpreting mathematical abilities in a pre-trained language model.

Structure Development in List-Sorting Transformers How does GPT-2 compute greater-than?: Interpreting mathematical abilities in a pre-trained language model

Reference 9

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source=pdf_text observed=2026-08-09T23:32:04.088157Z digest=sha256:4900cd2cad0711d37f3f8af5d52e44ddaccfbd6a3356f8da13d0dbed1de88031

Observation 6fcacfde-3146-4b33-b873-e0127d75a7a0 · outbound

This paper cites Loss Landscape Degeneracy and Stagewise Development in Transformers.

Structure Development in List-Sorting Transformers Loss Landscape Degeneracy and Stagewise Development in Transformers

Reference 10

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source=pdf_text observed=2026-08-09T23:32:04.092945Z digest=sha256:6cf89fa08e2bb4802b0a9f5d927d494a890768326c0416ff603b19bb68a2b550

Observation a506de49-2803-4a18-a786-26c8330815e6 · outbound

This paper cites The Local Learning Coefficient: A Singularity-Aware Complexity Measure.

Structure Development in List-Sorting Transformers The Local Learning Coefficient: A Singularity-Aware Complexity Measure

Reference 11

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source=pdf_text observed=2026-08-09T23:32:04.097659Z digest=sha256:356e58cdc10b5650e09ef23d2b711545b95885482ca361a17703d610a933cc3c

Observation d3377daa-2873-47a7-a114-23b3fd038583 · outbound

This paper cites Convergent Learning: Do different neural networks learn the same representations?.

Structure Development in List-Sorting Transformers Convergent Learning: Do different neural networks learn the same representations?

Reference 12

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source=pdf_text observed=2026-08-09T23:32:04.102549Z digest=sha256:9f327d7718568127b4c86a9a09c0d465566f67918b99f65882806c4fd62b47f2

Observation 1ca33515-c37d-46f8-8b28-f29daa7c2985 · outbound

This paper cites Copy Suppression: Comprehensively Understanding an Attention Head.

Structure Development in List-Sorting Transformers Copy Suppression: Comprehensively Understanding an Attention Head

Reference 13

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source=pdf_text observed=2026-08-09T23:32:04.107380Z digest=sha256:5269c39ddbba2d3a72cd75aa75666d6d13b9befa71f43f496de21bddd2a6be45

Observation e66e4a3a-772f-4e6b-a1ae-f54fb4a577c4 · outbound

This paper cites The Hydra Effect: Emergent Self-repair in Language Model Computations.

Structure Development in List-Sorting Transformers The Hydra Effect: Emergent Self-repair in Language Model Computations

Reference 14

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source=pdf_text observed=2026-08-09T23:32:04.111844Z digest=sha256:e8e8599a67df8d5c39a852c87f8182fbae169792c542372f76bab92ac693b714

Observation 16a5d65e-b534-4cbc-9f05-86b80ccfb486 · outbound

This paper cites Progress measures for grokking via mechanistic interpretability.

Structure Development in List-Sorting Transformers Progress measures for grokking via mechanistic interpretability

Reference 15

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source=pdf_text observed=2026-08-09T23:32:04.116465Z digest=sha256:864b08c5310095aabc697ec6b46d110addd5eef4fa5411f7df2ff0ad6450a7b7

Observation 07347da1-04a3-4200-86f4-b3253d44cc92 · outbound

This paper cites Nina Panickssery and Dmitry Vaintrob.

Structure Development in List-Sorting Transformers Nina Panickssery and Dmitry Vaintrob

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T23:32:04.125646Z digest=sha256:c0ff083fe32c82ba915222f43acab5e888ecb4066ff2734b5085c1153d27d142

Observation 1b7e2a9c-c425-4390-b177-656006dcd8a7 · outbound

This paper cites Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets.

Structure Development in List-Sorting Transformers Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets

Reference 18

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Observation 5e2995bd-5a9f-44d0-98e7-0d43de0493db · outbound

This paper cites Stan van Wingerden, Jesse Hoogland, and George Wang.

Structure Development in List-Sorting Transformers Stan van Wingerden, Jesse Hoogland, and George Wang

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 07a030f6-b1ee-4477-9bfb-743cd09bc131 · outbound

This paper cites Differentiation and Specialization of Attention Heads via the Refined Local Learning Coefficient.

Structure Development in List-Sorting Transformers Differentiation and Specialization of Attention Heads via the Refined Local Learning Coefficient

Reference 22

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source=pdf_text observed=2026-08-09T23:32:04.148129Z digest=sha256:a9f5f9ac24190b81b6fcff03b3586574ba0505cea25e0ac387152a991f5d615e

Observation 0556a0d9-92db-4033-b964-1d228dfcbde1 · outbound

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

Structure Development in List-Sorting Transformers Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 small

Reference 23

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source=pdf_text observed=2026-08-09T23:32:04.152449Z digest=sha256:a716331c3861690dbc5d3d8677337e356867b6f836de8127d7f7ec9e799aba76

Observation 547f594c-9eb4-4a6e-be43-b954734ab6ee · outbound

This paper cites The LLC still has a large drop between steps 1985 and 10066 during which the heads specialize into splitting the vocabulary, and the loss decreases further.

Structure Development in List-Sorting Transformers The LLC still has a large drop between steps 1985 and 10066 during which the heads specialize into splitting the vocabulary, and the loss decreases further

Reference 133

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T23:32:04.162140Z digest=sha256:bc1f2144f1a8826c15fbe2417ca3903dfcfef3322a521dbae67dc329d66be586

Observation 3900cb49-2cd4-41ec-8d68-5b4a5846f8ca · outbound

This paper cites Grokking Group Multiplication with Cosets.

Structure Development in List-Sorting Transformers Grokking Group Multiplication with Cosets

Reference 1996

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source=pdf_text observed=2026-08-09T23:32:04.134452Z digest=sha256:832fc0b96399444cc9c6d7ecbc3fb6bc1ed3b1e54378ac99921e9b100f754e7a

Observation a3c7b999-ef34-4d54-80f0-70209bcff6a2 · outbound

This paper cites The LLC is defined in Definition 1 of Lau et al.

Structure Development in List-Sorting Transformers The LLC is defined in Definition 1 of Lau et al

Reference 2009

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T23:32:04.156946Z digest=sha256:1f89fe72875ba1f90fd199e28d45754b9db90ec9233bffdd4d4d571488198a45

Observation 299b16c6-3277-48e0-98ed-5ec72a862389 · outbound

This paper cites Layer Normalization.

Structure Development in List-Sorting Transformers Layer Normalization

Reference 2016

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source=pdf_text observed=2026-08-09T23:32:04.047369Z digest=sha256:e04dbc01940a8cd37ec5bb655c217cf3c6e6d96c92ad32ceab1c915c7dc8d7e5

Observation 76bfd9bc-f797-4570-99fc-0c1cc4f29344 · outbound

This paper cites Attention Is All You Need.

Structure Development in List-Sorting Transformers Attention Is All You Need

Reference 2017

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source=pdf_text observed=2026-08-09T23:32:04.143639Z digest=sha256:a5cf6a4ed5f978ada18807eae3c63772265c1ba883f3b66cac87f6abd41d5310

Observation 895e4787-66cd-44f5-83af-1ee267873e15 · outbound

This paper cites https://distill.pub/2020/circuits/zoom-in.

Structure Development in List-Sorting Transformers https://distill.pub/2020/circuits/zoom-in

Reference 2020

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source=pdf_text observed=2026-08-09T23:32:04.120977Z digest=sha256:d2f417d71014c642eac1e75ea9a1278fde841aa01ead1d6a2c0500bed44c5186

Observation cad1b9c2-0d75-4f0d-a1fd-14dbcd349fba · outbound

This paper cites an unresolved cited work.

Structure Development in List-Sorting Transformers Unresolved cited work

Reference 2021

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 95072b4a-49f4-4c3e-a452-67c266f65bd7 · outbound

This paper cites Toy Models of Superposition.

Structure Development in List-Sorting Transformers Toy Models of Superposition

Reference 2022

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source=pdf_text observed=2026-08-09T23:32:04.073062Z digest=sha256:ee78251b06116c424b048e8ac8118a5f98b0ab44b74a1ebc6b746867f87febf1

Observation 52b51ed9-150e-46e6-b330-287ce95df338 · outbound

This paper cites Angelica Chen, Ravid Shwartz-Ziv, Kyunghyun Cho, Matthew L Leavitt, and Naomi Saphra.

Structure Development in List-Sorting Transformers Angelica Chen, Ravid Shwartz-Ziv, Kyunghyun Cho, Matthew L Leavitt, and Naomi Saphra

Reference 2023

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T23:32:04.053321Z digest=sha256:f2a704028b217baad9bc4242dd7cc5e6bf4fcef9ee9e330375a29729b422cf68

Observation 48e63ae6-061d-4d5c-aa1e-586d985ec0f9 · outbound

This paper cites Estimating the Local Learning Coefficient at Scale.

Structure Development in List-Sorting Transformers Estimating the Local Learning Coefficient at Scale

Reference 2024

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local_arxiv, observed 2026-08-09T23:32:04.403049Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T23:32:04.078055Z digest=sha256:e364a97e08437c6bf1a2eb0a675ac793d33634e860654730f0c21d18e993b040

Pith citing papers

Observation 292b8195-3500-4fa9-a850-dfd97c33ab70 · inbound

Influence Dynamics and Stagewise Data Attribution cites this paper.

Influence Dynamics and Stagewise Data Attribution Structure Development in List-Sorting Transformers

Reference 46

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source=arxiv_source observed=2026-08-04T10:05:16.708158Z digest=sha256:df9afda41dce40c954a75a6a1be382b08673f08465578c48bcd07349ea21ce3b