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Paper Citation Record · LEDGER

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic

As of 12 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2507.08138.

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

pith.paper-citation-record.v1
2507.08138 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:38:24.054226Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T17:09:09.167784Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T00:30:55.043933Z

Reference resolution

34 of 34 outbound references displayed

  • verified exact2
  • verified fuzzy21
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9fbc01a-4c98-412d-9c94-ef5ca6fdbe89 · outbound

This paper cites an unresolved cited work.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Unresolved cited work

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fca0d303-8a31-492e-b926-f24eb5c2013a · outbound

This paper cites Flajolet and R.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Flajolet and R

Reference 2

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:21.355824Z digest=sha256:7cd1d77854eef887ea14a6e7fc63e2a93d0230a92d0f3f9ce064d2a1f3771711

Observation 453e6178-a476-48c7-8c92-41dc4ee11be7 · outbound

This paper cites an unresolved cited work.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2c08170f-c7fa-44f1-847d-62955f1d2caa · outbound

This paper cites an unresolved cited work.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Unresolved cited work

Reference 4

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 712eb832-23df-4988-af09-08dbe1e2ce37 · outbound

This paper cites Petkovsek, H.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Petkovsek, H

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation be01a211-d0d1-448b-884e-182dd7437727 · outbound

This paper cites Kashiwara.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Kashiwara

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e145d55a-4d55-4371-bc1e-78dc434b1f7b · outbound

This paper cites Irrationalit´ e deζ2 et ζ3.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Irrationalit´ e deζ2 et ζ3

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:21.887472Z digest=sha256:c94d2cfe3d0254f6d32ab2d7c651be296efe05929898f67db51c847fb71617b0

Observation bf64d6f6-19cc-44b8-9bf4-c6cbe0f0858e · outbound

This paper cites A Note on the Irrationality of ζ(2) and ζ(3).

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic A Note on the Irrationality of ζ(2) and ζ(3)

Reference 8

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raw_fallback, observed 2026-08-06T18:38:29.547124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:21.971390Z digest=sha256:4598d6cf7bdd0555988b648c907ac546b9b59f5dbde7b463459a8264b4edac32

Observation bf86124c-bcbb-4c08-a547-311fbbedf624 · outbound

This paper cites An Ap´ ery-like Difference Equation for Catalan’s Constant.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic An Ap´ ery-like Difference Equation for Catalan’s Constant

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:22.082671Z digest=sha256:5a0651116a4e66ad82dc2a70d691227c3e32131cfb845d05a62c591b94e3304f

Observation df944144-4fd7-4224-bc52-f93bc652048d · outbound

This paper cites Zudilin et al.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Zudilin et al

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:22.168446Z digest=sha256:ed79837682466ea03271c842437517c3d357bba11a7a5359f8d5319929595aa4

Observation 5ac3e127-f1fd-4139-9343-71b1825dac3e · outbound

This paper cites The linear independence of $1$, $\zeta(2)$, and $L(2,\chi_{-3})$.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic The linear independence of $1$, $\zeta(2)$, and $L(2,\chi_{-3})$

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:38:22.249082Z digest=sha256:ebc871d056b0385605b96ac4b19e318647daef075e46dcc413af7349bebf698a

Observation 27e3113b-ec62-43ba-a8a5-31328f726a79 · outbound

This paper cites On linear forms containing the Euler constant.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic On linear forms containing the Euler constant

Reference 12

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no resolver link, observed 2026-08-06T18:38:22.366016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:38:22.366016Z digest=sha256:744f7a26d62c28481d89b8f3a88b6dc7e8ee7c22ed5c726e5fe658d55220239f

Observation db620f30-ae66-4ac0-85b5-5c5c7f8f0d60 · outbound

This paper cites The irrationality measure of π is at most 7 .103205334137.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic The irrationality measure of π is at most 7 .103205334137

Reference 13

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raw_fallback, observed 2026-08-06T18:38:29.158971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 18690cb6-06f2-496a-b576-5b98aa8f1153 · outbound

This paper cites Generating conjectures on fundamental constants with the Ramanujan Ma- chine.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Generating conjectures on fundamental constants with the Ramanujan Ma- chine

Reference 14

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raw_fallback, observed 2026-08-06T18:38:28.949393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:22.513045Z digest=sha256:938c09a8dfb60b811fb411d43759a00c6cbfab31c742b5451cdee29b074f2326

Observation 39fc5d19-e036-4bc3-abcb-11dd3883629d · outbound

This paper cites Automated Search for Conjectures on Mathematical Constants using Analysis of Integer Sequences.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Automated Search for Conjectures on Mathematical Constants using Analysis of Integer Sequences

Reference 15

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raw_fallback, observed 2026-08-06T18:38:28.719301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation dd9c53a1-a86a-43d4-add5-3bb1fc25a7d4 · outbound

This paper cites Algorithm-assisted discovery of an intrinsic order among mathematical con- stants.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Algorithm-assisted discovery of an intrinsic order among mathematical con- stants

Reference 16

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raw_fallback, observed 2026-08-06T18:38:28.595409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 21faf0ef-1061-4dd8-8c53-3a08114b4559 · outbound

This paper cites Ap´ ery Limits: Experiments and Proofs.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Ap´ ery Limits: Experiments and Proofs

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 15438ad5-51c3-4d51-89e9-aeefbd656b4f · outbound

This paper cites Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery

Reference 18

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local_arxiv, observed 2026-08-06T18:38:24.562586Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation cfaeb029-c9fc-49e6-9d0c-3adf467ce6ee · outbound

This paper cites Strip Mining in the Abandoned Orefields of Nineteenth Century Mathematics.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Strip Mining in the Abandoned Orefields of Nineteenth Century Mathematics

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.004519Z digest=sha256:f1d207630f493ba55b39debe82404bb870959ee536cd2cdfefd70725b5e98936

Observation 2a84bce1-a164-4fc2-a55a-4574ca3340ef · outbound

This paper cites The conservative matrix field.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic The conservative matrix field

Reference 20

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:38:23.093970Z digest=sha256:bcad415517ef981b00346579eb7612a21bf7745c216078a9abc2306bb77bca7b

Observation 4baf4d57-45a8-41d2-97a9-94635c73fabc · outbound

This paper cites Raz et al.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Raz et al

Reference 21

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no resolver link, observed 2026-08-06T18:38:23.187061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:38:23.187061Z digest=sha256:6be5bbe014e7b125f688c8f9849bd69ec97400aa991ce23da1efdac68b4a9925

Observation 133441d2-8721-4d13-bcdf-29004e7d904e · outbound

This paper cites An algorithmic proof theory for hypergeometric (ordinary and “q.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic An algorithmic proof theory for hypergeometric (ordinary and “q

Reference 22

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation ae46c37d-41e3-4ad0-b9af-f26b60813c29 · outbound

This paper cites Multivariate Hypergeometric Terms.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Multivariate Hypergeometric Terms

Reference 23

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local_arxiv, observed 2026-08-06T18:38:24.220348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1298cc50-6f21-46d7-ac8c-5a3ed378ce61 · outbound

This paper cites an unresolved cited work.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Unresolved cited work

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.367896Z digest=sha256:8f559037e873053b0c489893dec0fd0cf3e22e64591d874a851fca5113f91720

Observation bf98315a-54fb-48e4-8635-a9da8b6da7f3 · outbound

This paper cites Non-commutative elimination in Ore algebras proves multivariate holonomic identities.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Non-commutative elimination in Ore algebras proves multivariate holonomic identities

Reference 25

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raw_fallback, observed 2026-08-06T18:38:27.279156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.416796Z digest=sha256:e280e6a3141f300bb9e7da76ff87b60887e6ed29e176afd39b132b1d1d758b22

Observation db7775f7-3759-468a-afe2-a7fc260fb448 · outbound

This paper cites Sur les ´ equations lin´ eaires aux diff´ erentielles ordinaires et aux diff´ erences finies.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Sur les ´ equations lin´ eaires aux diff´ erentielles ordinaires et aux diff´ erences finies

Reference 26

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raw_fallback, observed 2026-08-06T18:38:26.926619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.506806Z digest=sha256:166199978976f6bfe76eeadc5925cdf5f798390a23126f5b47bdcc43f6143382

Observation f3c1408a-1328-4d22-8d70-dc2999966ca2 · outbound

This paper cites ¨Uber Summengleichungen und Poincar´ esche Differenzengleichungen.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic ¨Uber Summengleichungen und Poincar´ esche Differenzengleichungen

Reference 27

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raw_fallback, observed 2026-08-06T18:38:26.651999Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.561123Z digest=sha256:2bbe1d6887bef44c6e8650987877f3ac2706237bbf60884862ba2ff218a62843

Observation 515279a9-ac86-489d-ba2f-1905ded2c14d · outbound

This paper cites Koutschan and W.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Koutschan and W

Reference 28

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raw_fallback, observed 2026-08-06T18:38:26.483111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.621281Z digest=sha256:1ba0cb9d60cb08586dde75f5979adf6e356691e08102137a906f3320208316d3

Observation 7bb2c97c-2a63-4899-a9ec-85c228ff3fa6 · outbound

This paper cites an unresolved cited work.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Unresolved cited work

Reference 29

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raw_fallback, observed 2026-08-06T18:38:26.345388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.702874Z digest=sha256:b6578561048a2814a8aff5f0f8f3f8d3fab615833073ff97c93c1936360b8543

Observation d2c4a0eb-7ed3-4b2b-aa11-1687a2c61dd0 · outbound

This paper cites Pemantle, M.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Pemantle, M

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.771709Z digest=sha256:c129f028ae0ff4dacbc3c8da104466a9080c90e48e91870cef7a7572c221c898

Observation 09942193-a27b-4107-b4e3-2f226c7768c0 · outbound

This paper cites A physicist’s guide to the solution of Kummer’s equation and confluent hypergeometric functions.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic A physicist’s guide to the solution of Kummer’s equation and confluent hypergeometric functions

Reference 31

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raw_fallback, observed 2026-08-06T18:38:25.901464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.845748Z digest=sha256:4554a4f81c5a2ed2189a7ecda27310a0fb2d139ad1c0b3830962b065e8b6a4f1

Observation 3cab8f85-bfeb-475f-bc94-29c3f31bbcb6 · outbound

This paper cites Irreducible recurrences and representation theorems for 3F2(1).

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Irreducible recurrences and representation theorems for 3F2(1)

Reference 32

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raw_fallback, observed 2026-08-06T18:38:25.760562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.918120Z digest=sha256:c55f9cec255901b2c65b4e2b383b657d4d3e3ac374fb586b4b1c3ea91d2cb5c4

Observation 3a0d1c4b-bc2c-4918-9f63-f584fc196300 · outbound

This paper cites Advanced Applications of the Holonomic Systems Approach.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Advanced Applications of the Holonomic Systems Approach

Reference 33

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raw_fallback, observed 2026-08-06T18:38:25.525806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:23.975049Z digest=sha256:77128e8ff3e205f2ddb726c6a789956aba9834fc75c0749ff500ffcd870c8f1d

Observation f8e3c88c-61b0-4a7c-b2db-52124fb55be3 · outbound

This paper cites an unresolved cited work.

On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic Unresolved cited work

Reference 34

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raw_fallback, observed 2026-08-06T18:38:25.232533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:24.054226Z digest=sha256:2848c537d3249188caa3ed4bd3a7375b94c462491e071350ac039a656a33be6f

Pith citing papers

Observation 16bd4d6e-8fb5-4c69-9d2d-43624f64d284 · inbound

Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields cites this paper.

Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-16T01:22:26.089779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T18:27:50.193302Z digest=sha256:52d6ad2ddd0181e16835c8f2395c34c46f747101377a400986f854db40875efe

Observation 9d702a98-cc85-41fb-93ca-e5b129cf08d1 · inbound

The Ramanujan Challenge For AI cites this paper.

The Ramanujan Challenge For AI On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic

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source=arxiv_source observed=2026-07-14T17:09:09.167784Z digest=sha256:4738c61ce4e184617cc39137ef4d36a9eb76d5c101a3d864760e2a5771128b8d