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Paper Citation Record · LEDGER

A combinatorial sum with two complex parameters

As of 19 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.02639.

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

pith.paper-citation-record.v1
2607.02639 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T08:10:01.063473Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

19 of 19 outbound references displayed

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  • unresolved19
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0afe2faa-6b3e-4143-93ee-9ed49df86914 · outbound

This paper cites Adegoke, A short proof of Knuth’s old sum, generalizations and related sums, Integers 26 (2026), #A19, 24 pages.

A combinatorial sum with two complex parameters Adegoke, A short proof of Knuth’s old sum, generalizations and related sums, Integers 26 (2026), #A19, 24 pages

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:6a2bd4a96b498c5165264690e7706a53ec34d0d5e71df4330c5b3202b42d544e

Observation 49cf7366-e709-427b-bd69-0478c8a0786f · outbound

This paper cites Adegoke, R.

A combinatorial sum with two complex parameters Adegoke, R

Reference 2

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:ccb176c8ec2ec5b98dbb7163cc558eda47b638b490f73e60e878448f0ad409a5

Observation dfb9d1a0-db3e-434c-86ee-590f14f640bf · outbound

This paper cites Adegoke, R.

A combinatorial sum with two complex parameters Adegoke, R

Reference 3

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no resolver link, observed 2026-07-12T08:10:01.063473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:fd3a3b1065215a7bfbefe22b5a79c3ed9052eee082d611aee3818a7c8b726d90

Observation 6e287b35-1df0-4eff-a382-89ee6c0e0b63 · outbound

This paper cites Alzer and K.

A combinatorial sum with two complex parameters Alzer and K

Reference 4

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:8ee08ca9ed027fce4fbd669db775f3dacb8d13168429a9bc4e008d53e1ea55f8

Observation f212583d-8165-4064-b4c7-0bdc830fbe97 · outbound

This paper cites Bataille and R.

A combinatorial sum with two complex parameters Bataille and R

Reference 5

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:4f075b72c4103559cdbd96641a4844e4cdbef44732ba0528b98a78d7cb5799aa

Observation 45027163-c81d-4e98-aabd-1e9a8401c8d6 · outbound

This paper cites Bataille and R.

A combinatorial sum with two complex parameters Bataille and R

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:94a99df6e7f7913a4dfbee742d6eade50c276bffebd46defd14499972772e858

Observation c35afba2-eac0-40b9-bd67-c277d217c83f · outbound

This paper cites an unresolved cited work.

A combinatorial sum with two complex parameters Unresolved cited work

Reference 7

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unresolved
no resolver link, observed 2026-07-12T08:10:01.063473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:0c10be1d9c919f36fe5ddd5b9bc4fd03bd5c9078e39e63f2d6c2e3ef073c8ee4

Observation 4dfc0867-4bb9-4270-8996-c5169505c5a7 · outbound

This paper cites an unresolved cited work.

A combinatorial sum with two complex parameters Unresolved cited work

Reference 8

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:80a03468cf04fc4be2eb351b6ce8463c450b3a1c88414cf9c835eade4bf1f273

Observation 903a0f0a-0a5a-442d-8bef-03bc1e2d6b7c · outbound

This paper cites Carlitz, Some identities of Bruckman, Fibonacci Quart.

A combinatorial sum with two complex parameters Carlitz, Some identities of Bruckman, Fibonacci Quart

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:b432c2c674ea0d5546c18c1971c54d11c5e554cf4aa3d9d5441404c034c79cc9

Observation 1f82d904-995c-43a3-8930-c81c33ff531f · outbound

This paper cites Comtet, Advanced Combinatorics, D.

A combinatorial sum with two complex parameters Comtet, Advanced Combinatorics, D

Reference 10

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no resolver link, observed 2026-07-12T08:10:01.063473Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:c6c5892160a512ce8d621efd37b830a5e26d993c9b18af7f721db2fd10b5e8a8

Observation 7ab28ac3-3c77-413e-8ff7-bd302b3930e5 · outbound

This paper cites Gradshteyn and I.

A combinatorial sum with two complex parameters Gradshteyn and I

Reference 11

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no resolver link, observed 2026-07-12T08:10:01.063473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:0b2b184629210f5daccd38a3f5acf0cb06f52fdb65c42954e50d49a94013fe85

Observation ee825833-f085-4a6d-8613-d47e42ae05cb · outbound

This paper cites an unresolved cited work.

A combinatorial sum with two complex parameters Unresolved cited work

Reference 12

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unresolved
no resolver link, observed 2026-07-12T08:10:01.063473Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:9779c314a4adeef6713eb0682c22ab7e5d2d9037dfce960fd7ca05c52661d966

Observation 7ead3d8b-90bd-4bc9-a48f-0d9b0216e950 · outbound

This paper cites an unresolved cited work.

A combinatorial sum with two complex parameters Unresolved cited work

Reference 13

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unresolved
no resolver link, observed 2026-07-12T08:10:01.063473Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:3be7088258ce0ac8ceb03e91c34d18c841ea3d374ab485f23557b186ff2b8cc6

Observation b2268adb-7273-4a6d-9109-8bf08308837f · outbound

This paper cites Janji´ c, Some classes of numbers and derivatives, J.

A combinatorial sum with two complex parameters Janji´ c, Some classes of numbers and derivatives, J

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-12T08:10:01.063473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:af7759a0d0903cbc8e164d8106de66c97aa355be4578dfb63d03045aa169a444

Observation 548adb39-ac76-403b-9c5e-59e3190cb983 · outbound

This paper cites Lynch and M.

A combinatorial sum with two complex parameters Lynch and M

Reference 15

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unresolved
no resolver link, observed 2026-07-12T08:10:01.063473Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:171dc0c36b5d7b7deb2e6d5c545c6f4712cc36a92098b565e21aa6a00451b1b8

Observation ffcbabce-abd6-4b34-9626-9ed982c04716 · outbound

This paper cites Munarini, Combinatorial identities for the Tricomi polynomials, J.

A combinatorial sum with two complex parameters Munarini, Combinatorial identities for the Tricomi polynomials, J

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:3bcd5f37238c4340028f61019d716bcfaa5a3281f2d7f4ce2adc2d07d492ab81

Observation b50ae0dc-3347-4e8a-a139-d5066fc4dd3b · outbound

This paper cites an unresolved cited work.

A combinatorial sum with two complex parameters Unresolved cited work

Reference 17

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unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:5b069653b58feb33dcbbac75073dad9d067993835b83314b4038ce797ff72333

Observation 43700c0f-e186-41a4-9d5c-fbd6b2803dc6 · outbound

This paper cites Riordan, Combinatorial Identities, R.

A combinatorial sum with two complex parameters Riordan, Combinatorial Identities, R

Reference 18

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:d3b646d29058ae6080b041b62dab1aa62352e6701bf68914ac79ef2198d5d859

Observation 26834ee4-d291-4cfb-b48e-8c2847f9ed94 · outbound

This paper cites an unresolved cited work.

A combinatorial sum with two complex parameters Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-12T08:10:01.063473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:725d5b54c88629ea57ca49d544c77de63c582bae4be5a13019de6529eca42c5d

Pith citing papers

No inbound Pith citation observations are available.