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Paper Citation Record · LEDGER

Neural Collapse Is Forbidden: Information Floors in Language Models

As of 21 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 2026-08-21T06:32:19.484+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

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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=sha256:0cd27a14e59d22c12a8d239e928fcd74955764539ef8bab82272229dffe91f07

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=sha256:938c441dc3d593cb4468ed28f6b77ea68fb1c9157415316d5f615150e219b4f9

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=sha256:1d4872638808431a56658f07f873e9ee6cd43109c492a1753b18d740cfb18355

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:eb0d0b6eb40663646d60ce2f8b0c775e13ffa1ccd9469e9173b14380dd0d75c1

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=sha256:0d8117930916222d3ecbaa3bfd9d71ba5e490f30de67f792b7825e2dec03b9db

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:a87ee29856d1c205b47a200914f2f731cf9db7a141e0b65054f6af03048ee14d

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=sha256:247dea99dcfd08c10cc1b915d73a59699f6de6fe7bbcd74c1b5c9233becc6ee4

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=sha256:7af86e2428ec5028c66dada9f1a069fec6807cd9cde6b720b1d226946b6fae56

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:dce9a10a5615fa403f24c69aae5fecacc91520df2464b5b963137959c78d1634

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=sha256:2da09d3209cf61742bf21ae84a5c32d96ecb34201e5f6db9db9ada2d40e425f5

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:bb50bce7622348d6e584011bcc3a3308ba229b65b4ef5bfd00d4f2f096161b8b

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=sha256:56af9526ae2edbd5a4d2b8217fe06ba1278307c8adb0ea64935484fb25cd1144

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=sha256:635e129f548e44d68961b954b2a928021892aade43957de533eb74324dd140de

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=sha256:643da9f19eb0d2ad193aa85c5a7952f79ab86e180646a87a645b4997a3fec72a

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=sha256:84eb95104024b4485caafbfb2daf952af6b5cdd04a51d27da22cd9f20b781b4a

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=sha256:78eb8ae8cca00a89c9074d39a251588d736d8680815878e8577b2feb1f024844

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=sha256:63707b8e6582865a98c9450396b466f5cb74bf14d2c999ffa1eb33ee8e0bea39

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:dafecfc9becf07a0672625dcb2c6760e5fd8a1f9df3e5aae8e5cd1f58418ee5a

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:21700e7416c0d870eca84acc6cf2349deb614d4d3be0e9e7748ac6ebf46d61b1

Pith citing papers

No inbound Pith citation observations are available.