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Paper Citation Record · LEDGER

Recurrence relations for harmonic and derangement numbers

As of 11 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2509.10404.

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

pith.paper-citation-record.v1
2509.10404 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:00:13.283306Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

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External citation measurements

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Outbound references

Observation 3a56ce25-eeb6-48a6-8f95-f90c0cb0016e · outbound

This paper cites S.; Acikgoz, M.; Araci, S.A new construction on the degenerate Hurwitz-zeta function associated with certain applications,Proc.

Recurrence relations for harmonic and derangement numbers S.; Acikgoz, M.; Araci, S.A new construction on the degenerate Hurwitz-zeta function associated with certain applications,Proc

Reference 1

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Observation 4bc5717a-d5e2-4eba-892b-f7e6afe287f4 · outbound

This paper cites T.; Preston, G.

Recurrence relations for harmonic and derangement numbers T.; Preston, G

Reference 2

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source=pdf_text observed=2026-08-04T18:00:12.179301Z digest=sha256:be68431c94da633cab806bbc2bbbe5f6f6c3c5177a4710f12a70eef22b82c217

Observation ed569ec2-652e-4ea5-8d03-00f75b2f1ba4 · outbound

This paper cites The art of finite and infinite expansions,Revised and en- larged edition, D.

Recurrence relations for harmonic and derangement numbers The art of finite and infinite expansions,Revised and en- larged edition, D

Reference 3

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source=pdf_text observed=2026-08-04T18:00:12.271537Z digest=sha256:62c271a167ece39ae6a80d8d7e00cf5e08835788a7987fb5c532c12ca09be71d

Observation 3360097e-f079-4910-be3d-05b670023e8d · outbound

This paper cites H.; Guy, R.

Recurrence relations for harmonic and derangement numbers H.; Guy, R

Reference 4

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source=pdf_text observed=2026-08-04T18:00:12.353212Z digest=sha256:9a4d3a9a421ac95b5814f8b8671e9d669f67f961bcfa3c10b8c73a599c70ba25

Observation b27678a5-67b3-4555-81b7-b874be62ee11 · outbound

This paper cites S.Identities involving generalized harmonic numbers,Proc.

Recurrence relations for harmonic and derangement numbers S.Identities involving generalized harmonic numbers,Proc

Reference 5

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source=pdf_text observed=2026-08-04T18:00:12.435829Z digest=sha256:15a55b6990c547f067af16188e9510e0be380ab38287a8c4466b8c6a75b9e74d

Observation 7f239429-a154-465d-972a-d6fa8b389571 · outbound

This paper cites S.Spivey-type recurrence relations for degenerate Bell and Dowling polyno- mials,Russ.

Recurrence relations for harmonic and derangement numbers S.Spivey-type recurrence relations for degenerate Bell and Dowling polyno- mials,Russ

Reference 6

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source=pdf_text observed=2026-08-04T18:00:12.517997Z digest=sha256:3a2ea36d4a482d25463a223a309b5f660b79d043953e4bcef1e18d2bc3978104

Observation ad6dae24-8f11-4179-8d79-86db4fd3a159 · outbound

This paper cites S.Combinatorial identities involving degenerate harmonic and hyperharmonic numbers,Adv.

Recurrence relations for harmonic and derangement numbers S.Combinatorial identities involving degenerate harmonic and hyperharmonic numbers,Adv

Reference 7

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source=pdf_text observed=2026-08-04T18:00:12.600961Z digest=sha256:93276f398ab43a4e32cf5c941d1a908d59b0d627dbb3bc2e90c2f67b930c35a1

Observation 893ecfc8-0c72-4c90-af7b-31e00e8c01d5 · outbound

This paper cites S.Some identities involving degenerate Stirling numbers associated with sev- eral degenerate polynomials and numbers,Russ.

Recurrence relations for harmonic and derangement numbers S.Some identities involving degenerate Stirling numbers associated with sev- eral degenerate polynomials and numbers,Russ

Reference 8

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source=pdf_text observed=2026-08-04T18:00:12.682667Z digest=sha256:9397e54c5b1e8aa903c81aa80e06e7cbac80b5e8398895ca3a7a9a621d2c8bce

Observation 94c1de14-2a48-4384-a800-494ec1831b50 · outbound

This paper cites S.; Dolgy, D.

Recurrence relations for harmonic and derangement numbers S.; Dolgy, D

Reference 9

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source=pdf_text observed=2026-08-04T18:00:12.745273Z digest=sha256:a38a3cd2210891f39680620ca2a9ed385d94f26e117e85aee0284d5d7d2f9aac

Observation 5a4b0582-14d8-4c1c-a2f7-714d586d041d · outbound

This paper cites an unresolved cited work.

Recurrence relations for harmonic and derangement numbers Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-04T18:00:12.787821Z digest=sha256:7f5fb076546e81c651a7f8055ec1f370bfaf60723f7b236e3c602d1bff008da2

Observation 59b5d41a-90ae-40aa-8897-bad226500528 · outbound

This paper cites an unresolved cited work.

Recurrence relations for harmonic and derangement numbers Unresolved cited work

Reference 11

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source=pdf_text observed=2026-08-04T18:00:12.872755Z digest=sha256:b8513087d3f04a7c637a93b9ed93563178825eb0af7f513e641f9b81033b9bf3

Observation d22f4280-60bd-43bc-ab58-888eaf746d82 · outbound

This paper cites [Harcourt Brace Jovanovich, Publishers], New York, 1984.

Recurrence relations for harmonic and derangement numbers [Harcourt Brace Jovanovich, Publishers], New York, 1984

Reference 12

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source=pdf_text observed=2026-08-04T18:00:12.929989Z digest=sha256:8e0c2cd2beb93d2382789f4fd06af6b26770e96a7dbcffc67ecfe4d10fdcb716

Observation ee6dd3f7-4b4f-4e26-802b-65bcb3afbf38 · outbound

This paper cites Jangjeon Math.

Recurrence relations for harmonic and derangement numbers Jangjeon Math

Reference 13

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source=pdf_text observed=2026-08-04T18:00:13.003248Z digest=sha256:878becbe34ad702ccc699ffcb4ebc7470b047d61f7512c6d7d3eea9addac2fdf

Observation c0c26c17-4418-4a29-b6f8-d14cf0d619ac · outbound

This paper cites 3, 52-61.

Recurrence relations for harmonic and derangement numbers 3, 52-61

Reference 14

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Observation c5570290-0ddc-4f72-9146-6a5dbc1c65e3 · outbound

This paper cites V .; Kim, T.; Kim, D.

Recurrence relations for harmonic and derangement numbers V .; Kim, T.; Kim, D

Reference 15

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Observation 0401207c-db44-4fd8-8a83-ff9f53f1eab1 · outbound

This paper cites an unresolved cited work.

Recurrence relations for harmonic and derangement numbers Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-04T18:00:13.229327Z digest=sha256:43e4603ed9bbc0430f2f8fe167b5d7d3130d5ed64d952202e01a68939e1cd0d8

Observation 01d8f1fd-2b92-49d0-9aa7-d99054c5fb24 · outbound

This paper cites Math.87(2012), 65-78.

Recurrence relations for harmonic and derangement numbers Math.87(2012), 65-78

Reference 17

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source=pdf_text observed=2026-08-04T18:00:13.283306Z digest=sha256:d4a0e29d96171c4f55e24a6e633ad07d8494fe58ac4031654d763bbbd664a624

Pith citing papers

No inbound Pith citation observations are available.