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Paper Citation Record · LEDGER

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws

As of 7 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2505.24009.

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

pith.paper-citation-record.v1
2505.24009 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:43:05.843550Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T20:29:33.439034Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

39 of 39 outbound references displayed

  • verified exact4
  • verified fuzzy12
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0dd819e2-b5ab-4f30-b00f-aeb20dc80439 · outbound

This paper cites Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phone.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phone

Reference 1

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Observation df784a1c-5350-4b41-aec1-fd6c5463b8bd · outbound

This paper cites Phi-4 Technical Report.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Phi-4 Technical Report

Reference 2

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source=arxiv_source observed=2026-08-07T12:43:02.640314Z digest=sha256:d412cefd2649b57c45a6b00ef0886f5db2d115343f7a948f587c4a3fd8bbdd04

Observation 4aaffa0b-c232-43c4-bf19-89fe8e451426 · outbound

This paper cites an unresolved cited work.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Unresolved cited work

Reference 3

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Observation 42e492e0-7893-432b-bcdb-ed97ed8a009e · outbound

This paper cites An information theoretic perspective on multiple classifier systems.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws An information theoretic perspective on multiple classifier systems

Reference 4

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 71319101-7bad-4035-ba5b-fe20b91fe5c1 · outbound

This paper cites Wyatt, and Peter TiŇo.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Wyatt, and Peter TiŇo

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8a66d95d-30f1-47aa-a75d-a56b965e4d78 · outbound

This paper cites Language models are few-shot learners.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Language models are few-shot learners

Reference 6

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Observation ac1b60ee-88a3-44f4-9191-ee55c69e699e · outbound

This paper cites When parts are greater than sums: Individual LLM components can outperform full models.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws When parts are greater than sums: Individual LLM components can outperform full models

Reference 7

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 682fb1c1-82f0-4799-9c70-d6df828fb265 · outbound

This paper cites B ool Q : Exploring the surprising difficulty of natural yes/no questions.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws B ool Q : Exploring the surprising difficulty of natural yes/no questions

Reference 8

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Observation 225d6be0-db50-41a3-84c5-df9ad58939a9 · outbound

This paper cites Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge

Reference 9

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Observation bb809d3c-ea1f-440f-b5e8-ddf591b913d9 · outbound

This paper cites Averaging correlations: Expected values and bias in combined pearson rs and fisher's z transformations.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Averaging correlations: Expected values and bias in combined pearson rs and fisher's z transformations

Reference 10

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Observation 8f2ed922-8708-4793-8d67-f43c63e8a2bf · outbound

This paper cites Universal transformers.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Universal transformers

Reference 11

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Observation 6e44f3ac-d16b-42af-9525-0475e30b13cb · outbound

This paper cites A mathematical framework for transformer circuits.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws A mathematical framework for transformer circuits

Reference 12

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Observation b96235af-2ee5-4eae-838d-a3d69fba147a · outbound

This paper cites Polymatroidal dependence structure of a set of random variables.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Polymatroidal dependence structure of a set of random variables

Reference 13

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation af705621-a98e-453e-bc86-8c08af73402a · outbound

This paper cites Transformer feed-forward layers are key-value memories.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Transformer feed-forward layers are key-value memories

Reference 14

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Observation 13cebb3c-2a18-4110-8ff8-77ca37b766c1 · outbound

This paper cites The Llama 3 Herd of Models.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws The Llama 3 Herd of Models

Reference 15

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Observation 362297de-c388-4437-9498-ee5a7f8df9af · outbound

This paper cites What Matters in Transformers? Not All Attention is Needed.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws What Matters in Transformers? Not All Attention is Needed

Reference 16

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Observation a5feadfb-6bc8-435c-b327-82ac1a69c581 · outbound

This paper cites Deep Learning Scaling is Predictable, Empirically.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Deep Learning Scaling is Predictable, Empirically

Reference 17

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Observation a4e3580e-eaf6-4bce-af40-8eb32e979740 · outbound

This paper cites Submodular combinatorial information measures with applications in machine learning.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Submodular combinatorial information measures with applications in machine learning

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation afcdc92e-b430-4d63-95da-9bd8ab854c87 · outbound

This paper cites Mistral 7B.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Mistral 7B

Reference 19

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Observation 9040b3f9-83b1-46d9-9673-3c998e2357d7 · outbound

This paper cites Scaling Laws for Neural Language Models.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Scaling Laws for Neural Language Models

Reference 20

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Observation d5250fda-ca47-4b93-a2f7-e519b6485547 · outbound

This paper cites Near-optimal nonmyopic value of information in graphical models.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Near-optimal nonmyopic value of information in graphical models

Reference 21

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 4184f26f-f350-4aa8-8d6d-f5e882fde135 · outbound

This paper cites Neural network ensembles, cross validation, and active learning.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Neural network ensembles, cross validation, and active learning

Reference 22

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Observation 45f31b3a-d81d-42c4-9d52-8ccf3a6c9a8f · outbound

This paper cites Mobilellm: optimizing sub-billion parameter language models for on-device use cases.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Mobilellm: optimizing sub-billion parameter language models for on-device use cases

Reference 23

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Observation 05bd73ac-f254-42ff-ae48-c9137f7bd4e7 · outbound

This paper cites In-context Learning and Induction Heads.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws In-context Learning and Induction Heads

Reference 24

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Observation a4554c40-89f3-46c1-8521-1871f30faeea · outbound

This paper cites Probable error of a correlation coefficient.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Probable error of a correlation coefficient

Reference 25

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Observation 74526665-50f4-48cc-a79a-52c91e361747 · outbound

This paper cites Probabilistic conditional independence structures.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Probabilistic conditional independence structures

Reference 26

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2db401d7-5ddd-4739-9c37-81f41d51d978 · outbound

This paper cites Lessons on parameter sharing across layers in transformers.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Lessons on parameter sharing across layers in transformers

Reference 27

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Observation a0e3a22f-91e5-4640-897c-c2fad6b1f468 · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 28

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Observation 5fb1fd3b-d373-479b-b2ae-14be0c8100be · outbound

This paper cites Attention is all you need.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Attention is all you need

Reference 29

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Observation 5e137ef2-8c38-446c-a36b-1db7c6010c1e · outbound

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Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Unresolved cited work

Reference 30

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Observation b354e38b-90d7-492c-a332-2ced266d0ac5 · outbound

This paper cites Bilateral multi-perspective matching for natural language sentences.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Bilateral multi-perspective matching for natural language sentences

Reference 31

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Observation d68d19d0-2d67-4767-8dc6-8cf9f8299eb1 · outbound

This paper cites Chi, Tatsunori Hashimoto, Oriol Vinyals, Percy Liang, Jeff Dean, and William Fedus.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Chi, Tatsunori Hashimoto, Oriol Vinyals, Percy Liang, Jeff Dean, and William Fedus

Reference 32

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Observation 33a3cb48-0c71-44d4-82f9-04c21ce2220a · outbound

This paper cites A broad-coverage challenge corpus for sentence understanding through inference.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws A broad-coverage challenge corpus for sentence understanding through inference

Reference 33

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Observation cb598e0b-5d40-4324-9345-cc79fdf0f6ec · outbound

This paper cites Transformers: State-of-the-art natural language processing.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Transformers: State-of-the-art natural language processing

Reference 34

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source=arxiv_source observed=2026-08-07T12:43:05.542444Z digest=sha256:a2d4cda77647fd7bd945c28d49eba86f80f5ec13e4804fdb3e6f05ab9d3717cf

Observation bdc7ac73-7d46-4e3f-be7c-2c03229dcb6e · outbound

This paper cites Webb, Henry W.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Webb, Henry W

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:43:05.584925Z digest=sha256:9c094417787bffc91bf331e35320122657a9ffa83ef0776c0564b61899af079a

Observation d74b0ae6-06c1-4169-bc25-9f60c9fb6138 · outbound

This paper cites On layer normalization in the transformer architecture.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws On layer normalization in the transformer architecture

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T12:43:05.664198Z digest=sha256:c134d9d9b2c7691b5bfc3f7fa186db5f1b1311d09accc1ffc3a52eb4997c71ed

Observation 294eee0e-e716-4987-a5fc-491cb39b6cad · outbound

This paper cites Root mean square layer normalization.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Root mean square layer normalization

Reference 37

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raw_fallback, observed 2026-08-07T12:43:06.625167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ab86af4d-a887-412b-9fc7-769e36e4e46a · outbound

This paper cites Character-level convolutional networks for text classification.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Character-level convolutional networks for text classification

Reference 38

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Observation b0ed8fe0-da5c-488b-b2d1-73b5984e2e31 · outbound

This paper cites Multi-information ensemble diversity.

Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws Multi-information ensemble diversity

Reference 39

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Pith citing papers

Observation 7de1ee23-ea8f-46ca-8b9e-e92a35b00cdd · inbound

When Does Sparsity Mitigate the Curse of Depth in LLMs cites this paper.

When Does Sparsity Mitigate the Curse of Depth in LLMs Diversity of Transformer Layers: One Aspect of Parameter Scaling Laws

Reference 16

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