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Paper Citation Record · LEDGER

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

As of 16 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:c157293ee563512af25f37dcfb760131516055ca422e6a83fa15976737a491e7

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:dd1adba479748a5a08da9a0ebc525ada3e31d520c247b87b850d6f1322a0e2a4

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=sha256:30fa9fc83c224063a1b0b0f6ad5ca83a238774fcd9e3ddab26eb6c18fe065e71

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:bf83fa60cb6e4e02782cc10885484985affbb7462c562272bc29745befeea96e

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=sha256:4a7a9148adda870e95d762add743edf448e0b66f4807e4cfc6431b328c932198

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:f1aa00f34d6b9429246c86c8701d4f5895db2feed956e9f16bdb42afde4ce497

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=sha256:26f5048a64498da4d1ba5752e167407ac083161358358721e7c96b66550d81ec

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=sha256:5898da968bbefc23aaf54e19d09e40a262e050f29ad808ff3283a93fcafd2427

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=sha256:9854f4e985ce0c859f10e39e924da5b3a2ac3af58cfdbda8f673b61af95513b6

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=sha256:6598b80ba30d88f0ce87c5460e2b04fe3e193c30dedb2ad578813e26058b74e2

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:f7243c92fa4e949f682c272c90688eff7e877d7f3bbe69b509595c08b0c95d5d

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:e226c56308e859bc65ad5c9558c29820892dbf1dc282b60480a3733e1ac8d78b

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=sha256:114a22f7d1fe7a46dcf14ba118d4338915cd874b52c670dece29f4ea806f3b7e

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=sha256:64c8102e1f2e27c3d7b7113aafb12a10a950ab666a2b816d244621cee90332d9

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=sha256:5ccb99e2ce91719721a9d37162dc3f56ed37d89f816a4929a010f2e3c0b3bcd7

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=sha256:13a26bb1b9796570b61bc23ab315e7893ba0182d766d1b929dca26b139fad7a9

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:d4c197e581a200773542d1990aec2abf4eb272987e016bb3557530d282991871

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=sha256:09716ad0818c9d1d35a9b14d373461b4c911195fe56f3911ad59da2e2b10b584

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=sha256:1a5de66a20d2265d0d9ebe11bafd16a1b15535c953797ad0166667bca41c279d

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=sha256:4f72180cb9fca8d843935c5100aa4a428d46ddae70c413f30cebb9d77bb241fb

Pith citing papers

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