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Paper Citation Record · LEDGER

A combinatorial sum with two complex parameters

As of 11 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 2026-08-11T06:34:44.6726+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

19 of 19 outbound references displayed

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  • unresolved19
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  • malformed identifier0
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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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:a15176bb3bf953f00d22f5a1b55afa1d929e04956b8e2582c544a67851f2ab0a

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:b6703d7c6d74d0e34b9535f56c2b7c7edd2d6fab60a203363785627fa3564e9b

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:63e790e403a6ac0fefd59f2b9e3b8bed68de4b0e9103949f75c976e5e5e5edf7

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=sha256:8ae4894ce014ceb2002004b22c0491e773cc0c0cac9e44c8e48113743ddf1f50

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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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:a062ae00c4cae421c7753a11b4d5e2b43bc2645af58bbe54844c38e5c78700dd

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:afea4d8c3cad4c41b5805569b0b2e702028f31259c48455373bb01f9b2942801

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

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=sha256:2700338bfd29a1ebcb0e375e66ea604a721123a1f6f75f7f9bde7104afa0808e

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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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=sha256:57c8987909081d9ea61c5f6b4c808198d6f3a4dbf5330cd90863aaba39e486ef

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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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:f4991cb0c678b3363282c756a2fff26a3185712d420f27d34a1e5a1ce2a26b1d

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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unresolved
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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=sha256:4527427d908cc1296c4eac9a6d45d47f6af5af2748b86e48b88f9c170ba114e0

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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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=sha256:6ee06991da7d218bc964cda2516e0a92b7838d7dbf5a0b63e210e9057eae9608

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=sha256:55bef2860bf0ba84986e498ee67216b15f700e3a678c9230140846d9f4754c8f

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=sha256:92e313d343a25dfd5e5f2d32d07c66ac7ce1dab50f35fda71ffb75f063247550

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:c4b0c86beda4fdaf7a7779efd1f06484d2c707190390f36fb0024e8686cb55b4

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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source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:8dacee7f8d561e99064d1b37f6d0b7b61c48b9307ffad639f49cf6c22e4b3126

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=sha256:425c952627e5e0766c92d3dfeeb0806f4d3e66835c655b0f4f390e2925f8e0b5

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:dd5d5d88d927a99756bd1ce854607f23496af13997e04a35c54f79e29ecfc8f5

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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unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:10:01.063473Z digest=sha256:9c82efe450e6ff88bab21b2367627140db0ca5b46799db07416996b4155dd14e

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:a27868c82fd36722b59b7314c837a9fd24c1e9c61556d46b85115a2ab00f5c9b

Pith citing papers

No inbound Pith citation observations are available.