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Paper Citation Record · LEDGER

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis

As of 9 August 2026, this Paper Citation Record lists 99 of 99 outbound references and 0 inbound Pith citation observations for arXiv:2512.13491.

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

pith.paper-citation-record.v1
2512.13491 v3

Coverage vector

measured 99 of 99 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:34:41.090176Z

measured 99 of 99 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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Reference resolution

99 of 99 outbound references displayed

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Outbound references

Observation f4f8c32c-4081-4b81-b380-69afadb9932a · outbound

This paper cites Achille and S.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Achille and S

Reference 1

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This paper cites an unresolved cited work.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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This paper cites an unresolved cited work.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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This paper cites Explaining Neural Scaling Laws.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Explaining Neural Scaling Laws

Reference 6

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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This paper cites Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation

Reference 8

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Observation 62d1cdfa-1ac1-49fe-a58d-ad7a12cf1de5 · outbound

This paper cites Belkin, D.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Belkin, D

Reference 9

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This paper cites Bengio, Y.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Bengio, Y

Reference 10

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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This paper cites Bialek, I.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Bialek, I

Reference 12

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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This paper cites Scaling Laws for Associative Memories.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Scaling Laws for Associative Memories

Reference 15

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This paper cites Heaps' law and Heaps functions in tagged texts: Evidences of their linguistic relevance.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Heaps' law and Heaps functions in tagged texts: Evidences of their linguistic relevance

Reference 16

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This paper cites PaLM: Scaling Language Modeling with Pathways.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis PaLM: Scaling Language Modeling with Pathways

Reference 17

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Devlin, M

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Dingemanse, D

Reference 24

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Dębowski

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Dębowski

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Dębowski

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Dębowski.Information Theory Meets Power Laws: Stochastic Pro- cesses and Language Models

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Dębowski

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Multiperiodic Processes: Ergodic Sources with a Sublinear Entropy

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Dębowski

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Ebeling and G

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Ferrer-i-Cancho and R

Reference 36

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Font-Clos and A

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Futrell and M

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Futrell and K

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This paper cites G´ acs and J.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis G´ acs and J

Reference 40

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Observation 07eb474c-bf6d-48a0-82dc-98ef38013741 · outbound

This paper cites Gerlach and E.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Gerlach and E

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Observation 2f4e23e8-95de-474f-a5e3-790da8ac846f · outbound

This paper cites Guiraud.Les caract` eres statistiques du vocabulaire.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Guiraud.Les caract` eres statistiques du vocabulaire

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Observation ea4b6ef0-68aa-46ca-8b87-be74835bde65 · outbound

This paper cites Harremo¨ es and F.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Harremo¨ es and F

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Observation 8ba06dac-643e-430c-8c1c-fcdc064848d4 · outbound

This paper cites Hausdorff.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Hausdorff

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Observation b3c78198-343d-4ce1-80f9-b22f9ca81720 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 5e455b92-74ce-4af5-8066-fb9231835ac6 · outbound

This paper cites Scaling Laws for Autoregressive Generative Modeling.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Scaling Laws for Autoregressive Generative Modeling

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Observation a40fcdfd-413f-4212-b7aa-8a117cb2baed · outbound

This paper cites Herdan.Quantitative Linguistics.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Herdan.Quantitative Linguistics

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Observation f47adfed-db1f-4ab8-b84c-7ba9a8b3896d · outbound

This paper cites Scaling Laws for Transfer.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Scaling Laws for Transfer

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Observation a2deadee-2c71-48f9-b9cc-6d57cd1f0f12 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 7cf4a43a-73e4-4981-9aea-8239799336cf · outbound

This paper cites Training Compute-Optimal Large Language Models.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Training Compute-Optimal Large Language Models

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Observation b2ac0f1d-b679-4e18-a3d0-597ab7c80ed4 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation ecbc8059-f036-4361-9dd8-7acd9a920283 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 6d02ff8c-f7db-455a-b7f3-6f3e7ffcf1fe · outbound

This paper cites Scaling Laws for Neural Language Models.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Scaling Laws for Neural Language Models

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Observation dcfb5d7c-c04a-448a-a57e-5ffe15bcaf7e · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation bb58c06c-57cb-47b1-8cab-9d5a65b4cfdf · outbound

This paper cites Khmaladze.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Khmaladze

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Observation ca4160a2-989b-4857-a68f-c59464fe5a38 · outbound

This paper cites Kobayashi and K.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Kobayashi and K

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Observation 96271ec2-ae9d-451a-ab78-58699d4c419d · outbound

This paper cites Kuraszkiewicz and J.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Kuraszkiewicz and J

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Observation 3075a22e-1053-4e8a-bcef-a7cd39939ea5 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation cfc82e29-f7c2-438b-8f03-5e5133d4bbbf · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation e5d8088b-9b78-48fc-9350-9fb39ee0cb10 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation b1317d7f-a757-4798-b754-b45ebf832e77 · outbound

This paper cites L´ evy.Processus stochastiques et mouvement brownien.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis L´ evy.Processus stochastiques et mouvement brownien

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Observation 3f548293-cac0-4949-a5d0-87a0484e754a · outbound

This paper cites Predictable Scale: Part II, Farseer: A Refined Scaling Law in Large Language Models.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Predictable Scale: Part II, Farseer: A Refined Scaling Law in Large Language Models

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Observation 32ed46a0-1a6e-4d64-a87b-97fa5736a00f · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation d67f33bf-5f55-40c4-bdd3-17353c71f4b9 · outbound

This paper cites Louart, Z.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Louart, Z

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Observation efedc4cb-28ea-41ec-9c0d-bce98d09b9f7 · outbound

This paper cites A Solvable Model of Neural Scaling Laws.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis A Solvable Model of Neural Scaling Laws

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Observation 0a0b8461-eb0b-4c61-93a6-0d1507fd5e45 · outbound

This paper cites Mandelbrot.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Mandelbrot

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Observation 67744bb6-f485-414b-a12a-55368420f970 · outbound

This paper cites Mehri and M.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Mehri and M

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Observation 5127f796-329e-4599-a7a9-9685ff4a2f2a · outbound

This paper cites The Quantization Model of Neural Scaling.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis The Quantization Model of Neural Scaling

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Observation 1e9d2a0a-01c2-41d1-be3e-75e4edb56118 · outbound

This paper cites Mikolov, I.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Mikolov, I

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Observation 8dcda898-fa46-4cf6-b07a-d1724b4be01d · outbound

This paper cites Miliˇ cka.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Miliˇ cka

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Observation 2d582ee4-6d84-4f9c-8417-e9e94b0e017a · outbound

This paper cites Miliˇ cka.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Miliˇ cka

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Observation 60030d98-db80-49b8-a697-7e7fa7efe74d · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 58327992-0ad8-4bc8-9b18-d2884f00e931 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 0059d4f4-f508-40a4-9fa6-c33f86106c5d · outbound

This paper cites Neumann and C.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Neumann and C

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Observation 98e7b97b-0d87-4386-a2b9-3e1911d285ac · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 470be790-5a77-439e-8a6b-0d7c76fb44bb · outbound

This paper cites Reconciling Kaplan and Chinchilla Scaling Laws.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Reconciling Kaplan and Chinchilla Scaling Laws

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Observation 64f21141-8c27-48c2-aaee-6b10ce1f92c0 · outbound

This paper cites Petersen, J.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Petersen, J

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Observation ad5415c6-f299-4d80-9734-63f186aa4de2 · outbound

This paper cites Pitman and M.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Pitman and M

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Observation 69267e18-ffc0-48be-a0b6-4223d10cd2bd · outbound

This paper cites Radford, J.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Radford, J

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Observation 691342d1-6ca8-4b07-985e-8ac050f6a775 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 773a1376-df7f-4fa9-8ca9-b1770b58b949 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 7910848a-5ff1-426f-8451-3b5990344d30 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 6897b1f6-bc43-4c18-bdf5-85dba7dd2553 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

Reference 83

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Observation 465c3a52-6159-4d5a-b829-b39bd9930821 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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Observation 4150df31-c619-454a-91d0-090524baa376 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

Reference 85

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Observation cb6381ee-c676-4273-93b0-4f5ef79cea3e · outbound

This paper cites Sharma and J.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Sharma and J

Reference 86

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source=pdf_text observed=2026-08-03T16:34:40.026248Z digest=sha256:149590540c13c5bba208c989062ea1dcefe1d0b503734435eb71cbe0ae15f0ef

Observation 8ad8ba6b-d6c9-4f98-92ff-f6a743637648 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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source=pdf_text observed=2026-08-03T16:34:40.102439Z digest=sha256:8f7ddf9f283d0b5c20c46c21e5b1422bb7acc84079e252cb97624de23e576adf

Observation bb6a4d9c-efe1-42a2-96c5-c2dab74a098b · outbound

This paper cites Takahira, K.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Takahira, K

Reference 88

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source=pdf_text observed=2026-08-03T16:34:40.179649Z digest=sha256:d6bc93dce5d3e61fd87e36509b83a8cc3280c2a579033dbfb9cc1b89fdd5fa1d

Observation 662675ee-dc64-4a45-90e8-d813de0d0288 · outbound

This paper cites Tanaka-Ishii.Statistical Universals of Language: Mathematical Chance vs.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Tanaka-Ishii.Statistical Universals of Language: Mathematical Chance vs

Reference 89

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source=pdf_text observed=2026-08-03T16:34:40.281277Z digest=sha256:a0489b66c0ee11b3613974cd962c5d0e1428d277d4575e39554b96bed6910762

Observation 395c2f8d-019b-41e8-bc91-179747fa5496 · outbound

This paper cites Scaling Laws with Vocabulary: Larger Models Deserve Larger Vocabularies.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Scaling Laws with Vocabulary: Larger Models Deserve Larger Vocabularies

Reference 90

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source=pdf_text observed=2026-08-03T16:34:40.331704Z digest=sha256:82fb459faca8ec30dfc4a421439744e1c12b42eed5bc6918adf35d9ae486c784

Observation 01072182-d2bf-47c7-a52e-61ec8762e061 · outbound

This paper cites LaMDA: Language Models for Dialog Applications.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis LaMDA: Language Models for Dialog Applications

Reference 91

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Observation ae14b65a-7d7f-4170-b543-5c437124c9a2 · outbound

This paper cites Vaswani, N.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Vaswani, N

Reference 92

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Observation ce8da3cb-f71a-4257-8817-80a2963c8734 · outbound

This paper cites More Than a Toy: Random Matrix Models Predict How Real-World Neural Representations Generalize.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis More Than a Toy: Random Matrix Models Predict How Real-World Neural Representations Generalize

Reference 93

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Observation 83244c06-60e1-4e02-a5a8-669ce193c01a · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

Reference 94

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Observation 81fe2040-dbb7-48fc-aa36-a5c807de8ae1 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

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source=pdf_text observed=2026-08-03T16:34:40.718741Z digest=sha256:7cc2fe44ab8f24c28ca98a20fec09749335c4f7034f11ab8219b7b43f3ad795d

Observation 221c50ec-71d6-4b09-85bc-4a1b8a0a486b · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

Reference 96

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source=pdf_text observed=2026-08-03T16:34:40.782634Z digest=sha256:73b6b78deb90fec75742e5a36002a4be97f4a6f1fc700588d7967d7e30430b56

Observation a7d0f0ae-8d45-4b3a-9d2c-2ec7f335bb42 · outbound

This paper cites Zhang, S.

From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Zhang, S

Reference 97

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Observation e47df70a-1622-4845-b5a6-97c084f00845 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

Reference 98

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source=pdf_text observed=2026-08-03T16:34:40.956216Z digest=sha256:520224c4ad0c2e6d63d021d1e6b8f2721048e0991352fef4567e3a3bfd325bda

Observation 7fb0354e-2abd-4f7f-8fe7-926ee602fdc5 · outbound

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From Zipf's Law to Neural Scaling through Heaps' Law and Hilberg's Hypothesis Unresolved cited work

Reference 99

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source=pdf_text observed=2026-08-03T16:34:41.090176Z digest=sha256:9ef569ed04caba0280c67bfa3d2a1d263c7c82092dbfac8f7a2f3066e27a3617

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