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Paper Citation Record · LEDGER

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.01690.

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

pith.paper-citation-record.v1
1908.01690 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:19:28.025346Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved1
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 47cb0d95-ef5e-4da9-abb5-8e21bc3922e0 · outbound

This paper cites Ballot, Divisibility of Fibonomials and Lucasnomial s via a general Kummer rule, Fibonacci Quart.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Ballot, Divisibility of Fibonomials and Lucasnomial s via a general Kummer rule, Fibonacci Quart

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.434959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.920836Z digest=sha256:8a1459c9ccffeabba1d58b4a5b25ba95112f0e6c0a2021bd5867b2e84d7dd689

Observation 7908157e-6bc7-45a1-8989-b68ec352839c · outbound

This paper cites Ballot, The congruence of Wolstenholme for generaliz ed binomial coefficients related to Lucas sequences, J.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Ballot, The congruence of Wolstenholme for generaliz ed binomial coefficients related to Lucas sequences, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.415178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.926374Z digest=sha256:11bfbca37dff88df5053c6d516cd744bec49bcf12745cb7b08315f38f2524c24

Observation 011d0237-ae7e-4b80-b88e-2a3101433f9e · outbound

This paper cites Ballot, Lucasnomial Fuss-Catalan numbers and relate d divisibility questions, J.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Ballot, Lucasnomial Fuss-Catalan numbers and relate d divisibility questions, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.396746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.931133Z digest=sha256:bb01b6408c311ec114c95658174a707d9a9bf6d313cdf08465ee683839cd19a4

Observation 7c7fb702-dc04-4e20-8bce-7fe31b0d92f6 · outbound

This paper cites Ballot, Divisibility of the middle Lucasnomial coeffic ient, Fibonacci Quart.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Ballot, Divisibility of the middle Lucasnomial coeffic ient, Fibonacci Quart

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.381161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.936703Z digest=sha256:51e9c9e7bccdd68bd3982633666ca4b20e654c5e4015dca1aef9e402cda86044

Observation 4e270651-0af3-4c47-948e-fe0c4b5e3c10 · outbound

This paper cites an unresolved cited work.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:19:28.363588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.941671Z digest=sha256:d4298a47197840815bc62604d45cd24e4b6f6146264b7b307731ec51a38fc953

Observation 09729d4b-5751-46e7-8362-08ff01142726 · outbound

This paper cites Khaochim and P.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Khaochim and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.347931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.946732Z digest=sha256:e9243f192c2957e5f66cb062a890c6e2c4107f7439e425445bd07d4d3360ff34

Observation 304d1abd-5bc4-4d6a-b042-f924f270e1ca · outbound

This paper cites Khaochim and P.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Khaochim and P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.330981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.952622Z digest=sha256:88da7025e9af49e5ef62be2c2481d1189f1dfbd2380017981d7f42e71cdddd46

Observation 6104f658-8c6e-4f01-97cf-ec07c2920464 · outbound

This paper cites Knuth and H.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Knuth and H

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.312182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.958616Z digest=sha256:a103a52a9cbc275a1773649f103deb8f943cb0c60728cce1072acbe582c90248

Observation bef84e08-505f-4af0-a323-145c6fc8198f · outbound

This paper cites Marques and P.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Marques and P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.288502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.965371Z digest=sha256:16a1cd29a13c4d3b34498db9f46a19d5d382bb6f57727a3e2706363cea587881

Observation a56a6be8-7f73-436d-952a-8a504bebbbcf · outbound

This paper cites Marques and P.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Marques and P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.271586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.970791Z digest=sha256:21f374d5d20443e92c0c9d52f8e3db30119db1cd3f271feef100843dc8fcea14

Observation ab81a716-9ec4-4522-b035-aeadd03b79a8 · outbound

This paper cites Onphaeng and P.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Onphaeng and P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.249929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.978192Z digest=sha256:417dc83b9ac5e37f1b40445b225f6c11b960c0c38e13d93f4f7f5aa89df7f1ec

Observation a999fe9f-f2bc-49a2-b8cb-570e8ec34b98 · outbound

This paper cites Onphaeng and P.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Onphaeng and P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.229246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.982964Z digest=sha256:a95d0632c4ff300e2ceac4b5e2ba7d23ed7904f1a0f7baf20623184e8b4a3c05

Observation 0ca725f5-8e75-469d-becd-4eb6062075da · outbound

This paper cites Onphaeng and P.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Onphaeng and P

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.213280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.988748Z digest=sha256:e498d22663af852631aaae6155b48e0d983f0ecda59b2825221878a787d6ed6a

Observation fb3dcde2-1724-4207-b276-64ed6b66e375 · outbound

This paper cites Phunphayap and P.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Phunphayap and P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.194749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:27.994797Z digest=sha256:f120c2532da50f7a3c565bdaa56c5e7eb5189337c422f43813a9ca15be7185cd

Observation 9ce08537-8425-4bc8-bd33-a3af59b4133d · outbound

This paper cites Pongsriiam, Exact divisibility by powers of the Fibo nacci and Lucas number, J.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Pongsriiam, Exact divisibility by powers of the Fibo nacci and Lucas number, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.173211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:28.000181Z digest=sha256:5fba33d6282ab1bfe165d76cc7bb9a346cacb7860634130f1eb366ceaa47cc93

Observation 970ea2be-e417-4108-9e80-0cb3cdde4cf9 · outbound

This paper cites Pongsriiam, A complete formula for the order of appea rance of the powers of Lucas numbers, Commun.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Pongsriiam, A complete formula for the order of appea rance of the powers of Lucas numbers, Commun

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.153187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:28.005205Z digest=sha256:38b6511983dc73645b93ca1438995f0cffdd002c1fda6317cbde11f9293fe439

Observation 31b17c2e-7c6b-4222-9478-175230c442ce · outbound

This paper cites Pongsriiam, Factorization of Fibonacci numbers int o products of Lucas numbers and related results, JP J.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Pongsriiam, Factorization of Fibonacci numbers int o products of Lucas numbers and related results, JP J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.130734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:28.010007Z digest=sha256:cb195c8e2989ad875fd4e7b362d3d63d8e9564c8d1b1e9c9e296f69e38a0b2de

Observation e7d733ef-adf3-49d2-a4a8-ddb043ac0526 · outbound

This paper cites Pongsriiam, Local behaviors of the number of relativ ely prime sets, Int.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Pongsriiam, Local behaviors of the number of relativ ely prime sets, Int

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.108487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:28.014488Z digest=sha256:a31b50f33b0473808d951066782198c41f977976723ff0d5b87147e2adeac53e

Observation dfebef09-59a4-459f-ae25-61a4543753f8 · outbound

This paper cites Pongsriiam, Fibonacci and Lucas numbers associated with Brocard-Ramanujan equation, Com- mun.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Pongsriiam, Fibonacci and Lucas numbers associated with Brocard-Ramanujan equation, Com- mun

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.089658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:28.020311Z digest=sha256:6aec01329980360466776eaf58fba9bd42a4ae1361c60c65d300e290796f35b5

Observation 00ff5426-e86a-47cd-ba85-b7a9955c3b72 · outbound

This paper cites Pongsriiam, Fibonacci and Lucas Numbers which are on e away from their products, Fibonacci Quart.

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II Pongsriiam, Fibonacci and Lucas Numbers which are on e away from their products, Fibonacci Quart

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:19:28.070827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:19:28.025346Z digest=sha256:b3c05c12cbc186b50c3f8fccf10f09c47355bdec857fb34f1d8f4f54b5de2609

Pith citing papers

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