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Paper Citation Record · LEDGER

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution

As of 12 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 4 inbound Pith citation observations for arXiv:2607.18494.

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

pith.paper-citation-record.v1
2607.18494 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:21:42.125899Z

measured 35 of 35 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:06:41.773526Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:06:43.026105Z

Reference resolution

31 of 31 outbound references displayed

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External citation measurements

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Outbound references

Observation fdc1823b-ce05-465b-9c54-717c9c6a2e69 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-01T15:21:41.779398Z digest=sha256:3f4000fe5679af2be75a9b0ecb10857b264cb6c104741e1c759f68f050c32f4c

Observation 7d3d4649-5294-4fbc-ba30-588cd40042bc · outbound

This paper cites Berend, A.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Berend, A

Reference 2

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source=pdf_text observed=2026-08-01T15:21:41.850737Z digest=sha256:c3f2220840d7b20accec1a5f9bbb9ed16ff29c24c1db70ba76ad0811fd8eff2b

Observation 93cbc2ff-17be-4f22-8e7b-9c45ff1c5844 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-01T15:21:41.956503Z digest=sha256:30834eba6df97b040a225f13229fa2d1281823fe338490f2d3bcad21929c9501

Observation 124f4faa-1045-42b5-b06a-d0c5c1d18788 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-01T15:21:42.053773Z digest=sha256:ddb9914a8d732e8e562bcdc75e1995bb24fe6375a3fb149f3a7bafa254de7e41

Observation d4b9d67a-1806-4eba-ab18-2c7ba64f41d9 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-01T15:21:42.057266Z digest=sha256:a21010b1743b0066a2092d9f0e1a322d04b737b91090848185be75b4c918331e

Observation 8bde51a0-30f6-4500-8d0d-9386f606b37d · outbound

This paper cites Burić, N.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Burić, N

Reference 6

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source=pdf_text observed=2026-08-01T15:21:42.060318Z digest=sha256:e29cf9aab25869937f963964884b3bd237a257cfa8de0162f3269ba74237e449

Observation 3ef3b1ad-0c3b-4d46-b911-f75b7ae1203f · outbound

This paper cites Burić, N.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Burić, N

Reference 7

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source=pdf_text observed=2026-08-01T15:21:42.063872Z digest=sha256:112b52765e8d6aaf02b8444a9cb833ff2d8017064cec77b0eb1b3f27c66e2446

Observation 55ce50b9-c660-4d1c-be62-f9033a4d80b1 · outbound

This paper cites Burić, N.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Burić, N

Reference 8

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source=pdf_text observed=2026-08-01T15:21:42.066611Z digest=sha256:0b04eca8e6ae9e9e0bdaa9785c767a263b1e41d00f47a07c24a8a571878e2276

Observation 54a46aaf-2611-4e52-8bc2-25744654f60c · outbound

This paper cites Burić, N.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Burić, N

Reference 9

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source=pdf_text observed=2026-08-01T15:21:42.069148Z digest=sha256:885efbb90dda0b5c37771ad6797d30ca27f5b52fe52356375e6be222e9b9b745

Observation 33b91973-f9dc-4cc5-adc5-0b9ec62a46a3 · outbound

This paper cites Burić, N.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Burić, N

Reference 10

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source=pdf_text observed=2026-08-01T15:21:42.071550Z digest=sha256:32a03ae7171e182d06a2c93dfdfa0beaa3055f3a13375c928edc4b184890d010

Observation c4e4597b-4d81-46ce-b88b-800308b5bdcf · outbound

This paper cites Diaconis, S.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Diaconis, S

Reference 11

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source=pdf_text observed=2026-08-01T15:21:42.074005Z digest=sha256:d2c89215859f87986ffe041b2f79939bbf337f53c8675b7579573c772867e0d4

Observation 61c6f729-7b25-4811-9b85-88b29f05f565 · outbound

This paper cites Elezović,Asymptotic expansions of central binomial coefficients and Catalan numbers, J.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Elezović,Asymptotic expansions of central binomial coefficients and Catalan numbers, J

Reference 12

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source=pdf_text observed=2026-08-01T15:21:42.076626Z digest=sha256:1586077810d854e23ed5511ddaee06e1157f44ef0ad6abf2bf8d119e428f6a3f

Observation 228f0277-6cc1-4512-a3a9-a5c6a3dbb904 · outbound

This paper cites Esseen,Fourier analysis of distribution functions.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Esseen,Fourier analysis of distribution functions

Reference 13

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source=pdf_text observed=2026-08-01T15:21:42.079636Z digest=sha256:d20b0b392aab9a388c6180f45d896a2a66cf9d3599becaeca1360fdf70cba6e7

Observation 2ee1f35f-eb57-4494-a7c6-9229d45795d5 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-01T15:21:42.082412Z digest=sha256:4283ec6840573bf9b11ece3695a243dee2e28fffd7177a827fc75ee304dbec9a

Observation 9f744093-a8ea-442d-9264-66f9b53c41f0 · outbound

This paper cites Frisch,Solution d’un problème du calcul des probabilités, Skand.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Frisch,Solution d’un problème du calcul des probabilités, Skand

Reference 15

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source=pdf_text observed=2026-08-01T15:21:42.084965Z digest=sha256:6adf298510b5348ec853a483bc55dade429fa0393c44fc9bffd3aace760146cb

Observation 9ded2acc-98c9-418c-b329-93770bff4885 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-01T15:21:42.087467Z digest=sha256:885d4a3ced91fef3fd1ad8fa9e0fbe69b2e25f5824614d2e3c999274a990b344

Observation 2e7cbdc0-fd57-4571-bc44-589da1a5b098 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-01T15:21:42.089853Z digest=sha256:26984d5382b6c3a9a81504a960df16556bd8d00610b80f2f1457e54aa9a3e2e1

Observation a1382efc-90e8-471f-b6c1-30d48f0dd6df · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-01T15:21:42.092258Z digest=sha256:bc0fe9522e7341e7911ab153c4cbc1a17527ca01bef4273041264901acbecaae

Observation 073cd0ae-9d25-4462-b23c-a09062b3ed0c · outbound

This paper cites Jordan,Statistique Mathématique, Gauthier-Villars, Paris, 1927.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Jordan,Statistique Mathématique, Gauthier-Villars, Paris, 1927

Reference 19

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source=pdf_text observed=2026-08-01T15:21:42.094724Z digest=sha256:fc77d1ce16dee20ef7b96b0b979e8c18dadebe9e86513a594f92aecbaf93950a

Observation fa79fe69-7d7a-446b-8548-720efe70e543 · outbound

This paper cites An inverse factorial series for a general gamma ratio and related properties of the N{\o}rlund-Bernoulli polynomials.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution An inverse factorial series for a general gamma ratio and related properties of the N{\o}rlund-Bernoulli polynomials

Reference 20

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Observation 3e147f07-3081-448f-b4df-bd24dc7d1c6a · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-01T15:21:42.100375Z digest=sha256:f802a440802c79840cde7b2235cbb83d134caae04f1a054760b3455e23928146

Observation d393da69-3bf6-469d-abbd-3d04b3162867 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-01T15:21:42.103076Z digest=sha256:0aec6490f37c4fd2a4d0f547bc127327b03f291ac4e9fdb8c9a8d8dea53ff81c

Observation d61cceb0-6d3a-40e7-affc-614bb91ce1ae · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-01T15:21:42.105617Z digest=sha256:993a03922216856790f725c8d1b29df1aa362004757d7aaa722988325a023647

Observation 78850dd2-9a54-4e84-8265-a61803b67d30 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-01T15:21:42.108383Z digest=sha256:de73e3f5a03ae6e4bc2f9d42efd815c038ac6ea7bd415b524178b6dca1d71bf0

Observation 2128edad-a9a2-435c-a529-7730257e4573 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-01T15:21:42.110886Z digest=sha256:f039921bc789f35e8d404855ff22a7c96a53429bd5acc8418022a9fb1658e5a0

Observation 04960ecc-5809-4f6b-9c8a-cebedd65f1fe · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-01T15:21:42.113176Z digest=sha256:d5f092f716d7b95ba8a2028127f6f443817a5ed801b1c3051584a5d580f91945

Observation feeb804b-1c0d-4ac6-98c4-a5646fd4d957 · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-01T15:21:42.115768Z digest=sha256:224ff2ca39b2646b138d2e09382c9704ed52e08258dfce77ebaa659ffa9e36d8

Observation d2d32bee-5dce-4070-bf07-9dfa81887751 · outbound

This paper cites Robbins,A remark on Stirling’s formula, Amer.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Robbins,A remark on Stirling’s formula, Amer

Reference 28

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no resolver link, observed 2026-08-01T15:21:42.118177Z

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source=pdf_text observed=2026-08-01T15:21:42.118177Z digest=sha256:647cdff25685dbe9198217cb14c8f167c283de7bddfae09f4228bd4948c1c714

Observation 89151c3c-dca2-455d-8358-689869da91fe · outbound

This paper cites Roman,The Umbral Calculus, Academic Press, Orlando, 1984.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Roman,The Umbral Calculus, Academic Press, Orlando, 1984

Reference 29

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source=pdf_text observed=2026-08-01T15:21:42.120875Z digest=sha256:29064abc37d0cdc597d44254cd43d1ebd5406bc800be64bc5d793dfc5c56cfc8

Observation 9af662c6-c985-4cd3-9c4a-8361b3588fba · outbound

This paper cites Siotani, Y.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Siotani, Y

Reference 30

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source=pdf_text observed=2026-08-01T15:21:42.123416Z digest=sha256:69026299436b281d7e4f5ff46f5eb0f10f9726b6c3c1fdbb6ffc4062acf1a0a1

Observation ed2305aa-5955-4494-9a53-b40a8066250f · outbound

This paper cites an unresolved cited work.

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution Unresolved cited work

Reference 31

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source=pdf_text observed=2026-08-01T15:21:42.125899Z digest=sha256:fc988e15a66959b1d6a652964031c0704b0a29f96875a6064597798a0ace078b

Pith citing papers

Observation 9eb7da21-6b0b-4245-b22c-a09c748dc433 · inbound

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion cites this paper.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution

Reference 7

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source=pdf_text observed=2026-08-01T11:38:53.533529Z digest=sha256:fcb4551681cf89c25ea43f6c2998e5c5d86dec1430eb6784fb8f75ec17b2235c

Observation e2892360-3c23-4844-b99a-83506a51aacc · inbound

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion cites this paper.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution

Reference 7

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source=pdf_text observed=2026-08-03T01:56:25.608963Z digest=sha256:1f64bc047800a4bb4c8d1a3314bb32cd10bede364f8d863325ff425544a25259

Observation c1d1fe58-97b5-46a3-beba-da4bce4b1343 · inbound

Appell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes bounds cites this paper.

Appell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes bounds Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution

Reference 5

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source=pdf_text observed=2026-08-01T11:58:11.603867Z digest=sha256:4cfa71ad67870313d347abce01ec2986326f085925ab128b75cfc81ad36b4b2f

Observation 0815cd42-e334-4e4f-b633-1941c5c70ff4 · inbound

The mean absolute deviation of the classical discrete distributions: collapse identities, complete asymptotic expansions, and enveloping series cites this paper.

The mean absolute deviation of the classical discrete distributions: collapse identities, complete asymptotic expansions, and enveloping series Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution

Reference 9

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verified exact
local_arxiv, observed 2026-08-07T12:06:43.077597Z

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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