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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-16T06:30:59.297886+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

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  • verified fuzzy19
  • unresolved1
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  • 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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.920836Z digest=sha256:af2a590923959feb937265aaa68a217d6afc03d26448f6f8de9ccc7a2470f120

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.926374Z digest=sha256:e94643d464555ed33015c97b9f9cb1cb89e62a535cf53e20351c046054cb4694

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.931133Z digest=sha256:81af6f2373194a5c186dffb1a7ecf5a8a5e9d88569cdf2df4dc21cbc19b253b1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.936703Z digest=sha256:92ce0a4de3b41723627948e42d2650adf5d869fd9e436b21c649019b83e592d5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.941671Z digest=sha256:bc2d2031372a94d330334cc0f1b74ba1eaa4cc7cd3d39725ead56ed783386d18

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.946732Z digest=sha256:aa838de16c12503717a54450bafc6d3d611f6ed2960eba551185c9ab8d363d98

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.952622Z digest=sha256:0ab02e39f3ae621a78809779f32373c5335f4f676c9f95fbc95607a6c1b0b6cf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.958616Z digest=sha256:0575e34cd0d4d89c38a275634bd42958fee60f07a122132b86f01d747aab3ee6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.965371Z digest=sha256:016ca2afa096c4aea0ae5cb7819ee907fd359a469c380418efde45214e5f8b94

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.970791Z digest=sha256:da3e470bc17a3549592e1f9aa4b930dd284f660a28197ac0a9890943d9c46433

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.978192Z digest=sha256:f5221ae91371867789e32e6f328d1ff6e9e249fed3a708e3ef78d86d5407f516

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.982964Z digest=sha256:25382d0ec8fcdaab2546af0ae35811bcfc1b095c13f4ecd3e8c1cd4766dacd4e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.988748Z digest=sha256:7a4e025589adc8f9d95e77c981e5e022adb029f7781d4aecc36e47e6b82a1971

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:27.994797Z digest=sha256:41781a3adaf5d3596b952b9e5205ea3c8ab0a060c4a7755b4124bae771c4ab20

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:28.000181Z digest=sha256:ce27d34bbfa2b1bb8986e84c432873d8880b4c1a63dec56bb8b6ccff648e4604

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:28.005205Z digest=sha256:baecd09499fd98893cec0b19809d181d3038dbf1f572550f6a3eafb8a28b71ff

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:28.010007Z digest=sha256:7179fa4417c386ab7f78886612f8e9031df11d44b515f9fd442208ff4e78503e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:28.014488Z digest=sha256:e1239eb3a37d863b06d79cce41bf9a1a3ab5d3a5a72708c06e925a295a4ce276

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:28.020311Z digest=sha256:a75f664b173e9334f3afef9036c8a694ec9b905e0a29144982fb117eff913866

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:19:28.025346Z digest=sha256:75a2a5675c2693d0314dd0ef8cd89ecc08457a6cd880dca3d6b7b8f224d8ca67

Pith citing papers

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