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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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:21:41.779398Z digest=sha256:2ad7ce4fbef4dba3ab59466ecb96432df6f8d1f670e345f0f5560f42d16e9992

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=sha256:4ed786dcc911eec6a403601d85b945896470e10c81082b634d06186745cfc4c3

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=sha256:78fc4ec9f128067d0cc22a8478564650b9636403d0798bacb90370110d7f4c6b

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:b72e8299fb50b1b5d680065fc4826f47cf96abe03197cc47901d3a9063f32f80

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:d81e789128d5c50bd135467d68008d77027cfd02538f9abfeeec3922a89e52a6

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=sha256:9f9a58b57321be29407556a0de96b9a707ed8b050bcc3cdcbbafc021b72d368b

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:a1cdcd8e61ae6fb86735f27c057b8e70103dbc96da9373f177ba0c48531b2768

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:a2b7fb3a80438c2314a126935b8a4bf84d330cdc007e8e891ce02f05dd8e9737

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=sha256:80c87d20582c8fbc864c9e818c858a62f6043da434554244fa08799afd5dd52a

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=sha256:61a7d00de83284eefebf58006a5de375929d486ba7b4c79df4cabcc4907ce620

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:daba9722795f5f09b7ed72c65da11c341f71d7dd83b63dcdbd541c6b3b01c49d

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:fd4cfcd40baa93ec43a4bae1cc0a1bc12e4be6252cc2da9eb04d04a9d39c3310

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=sha256:6d622cd0cb86b54feb617eae8410f67244cf17d0041fce839c5bc950d07c8762

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:a1e44d0297e8b0d424dd9c997c84fee312d29696628f13befd27ac793b29c5b6

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=sha256:3a78966747dd6732eefd902fdf85e43af910ea7a7178c8a6bbebcda5f9dc73d5

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:e1ec7db66232bc952845dca4b038fef2e37b92dc5f4d34f5f5c1a2bc2f6508bf

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:be7b7e0777540778f10b6a6662f66e1b44ac7829e7db71c98c90cf77b361a4b7

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=sha256:418c9b7d3791d5a7be256d7b944c351aeee7a433318ce037fbc8eb9f36974c24

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=sha256:61b958bfea8bfa530cab0f68abad6a77309730750dff1305f8a0a1c15b6d0ecb

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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source=pdf_text observed=2026-08-01T15:21:42.097304Z digest=sha256:52e0a209054a13f1621463723cd50b7db16660308d6e51a34976a39ab971f028

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:d31f6d776c0d79e6bd48e010d62758a5075b9356786df97507da465952edc279

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=sha256:625f34279a9f6b8cf8bedff723138ac2e616a5eef1c51a97b90d6cc89a3739df

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:bed3d9ea2449cc88ca68212bd7b343ead6caabe7ac2752a9a39f987078747bda

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:a1b0016ff33fbc6752dd5ffa2c432f408cf94de7eca29cb2aa4eef3eff55c43b

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=sha256:4e7188d310dc73774beec58e7f2e49ed65c4ccf8f9fb48c0dd9ed07437ee364d

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:fba6aa69d68c4cb7d7cd39302ec44bf39fd5d5cdc8e594b630a5a2f4cd4a3c2e

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:ee5439670a0297de1df108282b5b7c65ac1654c9d62c981dbd52d2d627428bec

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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source=pdf_text observed=2026-08-01T15:21:42.118177Z digest=sha256:5fa2540ddfaf3b8e340d4f6ef0d95caaa181c7f71861eeca1927f13bb321107a

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=sha256:219d9836bdfd42d2d5c09534a1890eadcc56acc6f6150f2ffbbba986617db029

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=sha256:119c7c2112d9760e48cc3a9ea3c3f2b7b77fcda9f5843fa732e43567aa3dd08b

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=sha256:5ee92a1aec88b685a144793b5ca495291c96733bf36855845e14c607c6ccedda

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:b6031825018bc3f5c084d090162a4ca2200075ea39d62cc0a5552c4fb55aed45

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=sha256:95b6751f1d6bdfc3d33dbf2b2732e6d7b7863ca3def1f4d7f8f60b0cda46912f

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=sha256:115ef06423d7a9abebfc9887c190fcf132b12522f1f2f211e07798d3fbf9b751

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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