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Paper Citation Record · LEDGER

Neural Collapse Is Forbidden: Information Floors in Language Models

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.09487.

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

pith.paper-citation-record.v1
2607.09487 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:42:05.577201Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8eaa6d1f-4d5d-4968-95b3-866006543ea9 · outbound

This paper cites Neural networks learn statistics of increasing complexity.

Neural Collapse Is Forbidden: Information Floors in Language Models Neural networks learn statistics of increasing complexity

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:f783466132ad680341a27a82e1240a50d467df56811fd98d2dcf20ab7eb49858

Observation 61015bae-0ca5-4643-a439-73bba0fd3b7f · outbound

This paper cites Pythia: A Suite for Analyzing Large Language Models Across Training and Scaling.

Neural Collapse Is Forbidden: Information Floors in Language Models Pythia: A Suite for Analyzing Large Language Models Across Training and Scaling

Reference 2

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malformed identifier
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:71ec7b3d53b4c4c2ddc27a56c409de39fc046459b5b34ff955a0db042c072d05

Observation 2869ef76-76d3-45e3-967b-cb5842e5064b · outbound

This paper cites an unresolved cited work.

Neural Collapse Is Forbidden: Information Floors in Language Models Unresolved cited work

Reference 3

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unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:48c6dbfc09e32bb63917c5c34fb27c3cf257a032b7281e8201983d7319d3f433

Observation e4fd0dde-7271-4930-8825-b3851a934e81 · outbound

This paper cites Representation degeneration problem in training natural language generation models.

Neural Collapse Is Forbidden: Information Floors in Language Models Representation degeneration problem in training natural language generation models

Reference 4

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unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:9b09b917e2a504dcef6093934bb744db5e41446cf20933127b76f26076d9a289

Observation ca671ba4-908d-4b50-82b8-67e79836434e · outbound

This paper cites Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data.

Neural Collapse Is Forbidden: Information Floors in Language Models Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:8cacc6ef3642bebbb535d25ff0877604fd43a5c0846c4821aec34b9b2a8425ac

Observation 3b9156ea-8359-4d4b-b7d6-e5a403f1457e · outbound

This paper cites Generalized Neural Collapse for a Large Number of Classes.

Neural Collapse Is Forbidden: Information Floors in Language Models Generalized Neural Collapse for a Large Number of Classes

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:0b12b33a58de0ba78fd72672293d352903404842ef638dcf44347c911a615d66

Observation 8fcd8223-c5af-4769-bc42-efbb49902bdb · outbound

This paper cites Richards.

Neural Collapse Is Forbidden: Information Floors in Language Models Richards

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:6513ea4bbb33e841e97b3f9dea5236895e32b429333cc777913c4463d7f68400

Observation 47c9bf9c-44ee-429e-8a7d-4b4fec7b92db · outbound

This paper cites Mixon, Hans Parshall, and Jianzong Pi.

Neural Collapse Is Forbidden: Information Floors in Language Models Mixon, Hans Parshall, and Jianzong Pi

Reference 9

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malformed identifier
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:d484bd49185c1c868e8a208475be675f17907d1f478f2162f463a9b19e450b15

Observation ba8ee043-4b1c-4912-a651-fd8c18317d0d · outbound

This paper cites 2 OLMo 2 Furious.

Neural Collapse Is Forbidden: Information Floors in Language Models 2 OLMo 2 Furious

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:5868bc33b282f01b1bf653b2e864dd8a1ec745fbfc0772bbb4db9325b049d54a

Observation 48f16d77-51b9-404d-8e40-b4bc4b0d652c · outbound

This paper cites In-context Learning and Induction Heads.

Neural Collapse Is Forbidden: Information Floors in Language Models In-context Learning and Induction Heads

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:896f8b74bc144e9dbc84f46ec8c48bb02754e3e8b5d11782f981340a573e512d

Observation 3efc7ad7-e52d-4930-b34b-46868823c490 · outbound

This paper cites Han, and David L.

Neural Collapse Is Forbidden: Information Floors in Language Models Han, and David L

Reference 12

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unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:06b0a5835224342d4960c114f3c4f8e65ab05923e9adcc9076d949459f8ebc53

Observation dc4d2ae1-4554-48ea-9f4c-18488785de19 · outbound

This paper cites The Geometry of Categorical and Hierarchical Concepts in Large Language Models.

Neural Collapse Is Forbidden: Information Floors in Language Models The Geometry of Categorical and Hierarchical Concepts in Large Language Models

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:eb4b4f772cc4e055d8ce6f73bb83d5680745182d2630c83255bdbcae02bfc0d1

Observation 65052496-b42e-4069-82a1-04397c77bdc9 · outbound

This paper cites A universal part-of-speech tagset.

Neural Collapse Is Forbidden: Information Floors in Language Models A universal part-of-speech tagset

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:18c383e4f8eb73fcad9e445cd907469993703aef09b357b617c4a2ddc01eb882

Observation 58bb0e41-a022-406c-b711-d731e56163e3 · outbound

This paper cites Explaining grokking and information bottleneck through neural collapse emergence.arXiv preprint arXiv:2509.20829, 2025.

Neural Collapse Is Forbidden: Information Floors in Language Models Explaining grokking and information bottleneck through neural collapse emergence.arXiv preprint arXiv:2509.20829, 2025

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:cd86a1c3887a7e54a80d4f6befde1781286c252fa176a1eda77141973e93dd6c

Observation 13f63612-9879-40bc-bcc4-5bb1201d3808 · outbound

This paper cites Imbalance Trouble: Revisiting Neural-Collapse Geometry.

Neural Collapse Is Forbidden: Information Floors in Language Models Imbalance Trouble: Revisiting Neural-Collapse Geometry

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:379f475408e564affaeb61bfd6f25e6bedb5319b534f8985d0d695eecf52451b

Observation 9349a574-c821-46f5-9220-590da7948b34 · outbound

This paper cites Linguistic Collapse: Neural Collapse in (Large) Language Models.

Neural Collapse Is Forbidden: Information Floors in Language Models Linguistic Collapse: Neural Collapse in (Large) Language Models

Reference 17

Resolution
malformed identifier
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:a937d6a5eb07bc576dd1639ee1ebd25e49ed534bec6918a3e21e02557c2a6308

Observation 2baa1174-f6cd-4862-b3d0-76655e78c8d7 · outbound

This paper cites Breaking the Softmax Bottleneck: A High-Rank RNN Language Model.

Neural Collapse Is Forbidden: Information Floors in Language Models Breaking the Softmax Bottleneck: A High-Rank RNN Language Model

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:93143520f54eca2a2b60cf7e1b5281d61e426d5d55ad833d91328b891334f89f

Observation 11ddec90-3918-4982-ad24-7477cf272c0d · outbound

This paper cites Structure Before Collapse: Transient semantic geometry in next-token prediction.

Neural Collapse Is Forbidden: Information Floors in Language Models Structure Before Collapse: Transient semantic geometry in next-token prediction

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-13T02:42:05.577201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:738fc82dd30205b78270d17c59809c795e5cf1da1843d674d1fa7004535fbb25

Observation 1f7225f3-c74f-400d-b075-c1fe0d150ed4 · outbound

This paper cites A Geometric Analysis of Neural Collapse with Unconstrained Features.

Neural Collapse Is Forbidden: Information Floors in Language Models A Geometric Analysis of Neural Collapse with Unconstrained Features

Reference 20

Resolution
metadata mismatch
local_arxiv, observed 2026-07-13T02:49:20.695033Z

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.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:b2bd1978759f4b51f16acea92e61737f0942f140c916b8f2b86980004138d807

Pith citing papers

No inbound Pith citation observations are available.