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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

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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:dbd850e42959d35788d3497ef7a7bd38653bcd394bfa6bebacffa37e317433b4

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:b6d0407a96ce70e066a6c1b77a4dfdb4c2af2147bcdf7acc36dc0c6876d7aeb9

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:f74aead7ad19c7fa8c82b9dd795b15dc90bba72a5d36008e2874fb794b420823

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=sha256:4d4dccbb94d28fec005d9e16cf433bb0e1e949d33973ee8347952b307a6b38b5

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=sha256:7e5ceb40634050f2f0c81a81acd9ebff57b3607f793e41a1ab9e0521162e5ed7

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:bd88807c28561f0a48b0a63aa6a6f6d00e6143681f62a65ecd8976cd1036fe64

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=sha256:11a92cd7beb280513a215ff001ff1a7b7f8fb80a1a0ccc0a1ae8d42d06ab5884

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:c884cb45fc352c3683887afc910cac1533b20a93e7b7f9b895b3dbd1d38b9dbb

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:fbe64c22df071045c6bf6481332027bc2cd315078966a9b4078c5af75d1bdfad

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=sha256:4b376940b50c8b563206f9f57f82fc7e7cc8f77c795bf019fe83618e62ba6b70

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:ec0b120bba3f6512906b9b33205488eeaa73be646286ca5a7c525b3795486756

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=sha256:6ecb41c7226d91df8104a464d85f714c2587e3794db2d6692c8d2750e1854502

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:ce306bd72fdd7b61f5d427c33818e8a7c02ba1642a7c7707ea591faf501111fc

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:cd0d817d8c7278db919c97063e53bdd9ef9b62f12021fc847006678f114aa1ca

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:f7d281d27a5ab9bd04e7a389b41b427663ef20ff73028391959eef72815420a2

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:c690d42d84ac4dcfce0fa92c8ca5f239a6899ec613da690312aa9805fb770b8c

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:db8d19adf906282a103917f486b49def0914192e8bc89be3a3f204345a02b0a2

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=sha256:65b33210bab522e152da5676fddf363cd08bb9fc8c3fb9703d1d652c82f4db8b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-13T02:42:05.577201Z digest=sha256:b83729e8541bbcbc4295e057635350d03d48c835b53ee591f07ac332baeefa3a

Pith citing papers

No inbound Pith citation observations are available.