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Paper Citation Record · LEDGER

Gaps of Summands of the Zeckendorf Lattice

As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1909.01935.

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

pith.paper-citation-record.v1
1909.01935 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:13:46.140766Z

measured 36 of 36 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

36 of 36 outbound references displayed

  • verified exact2
  • verified fuzzy21
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f1d3f208-4a8b-4e7d-aefd-b4abf784e377 · outbound

This paper cites Beckwith, A.

Gaps of Summands of the Zeckendorf Lattice Beckwith, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.663986Z

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=arxiv_source observed=2026-08-14T05:13:45.968945Z digest=sha256:0d71e7121aa79ba68cb5e64ec70f15df3f365dd5afc0454579c8fae5ce79e7b6

Observation 0397e0df-f53b-474b-aede-8af1649ec516 · outbound

This paper cites Ben-Ari, S.

Gaps of Summands of the Zeckendorf Lattice Ben-Ari, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.650130Z

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=arxiv_source observed=2026-08-14T05:13:45.973290Z digest=sha256:1f58a88bb4aa27a4477841dd4b0b138af1164c986a6549365f0b4a64805ff38c

Observation 9bdc898e-a454-49b9-b045-624c73c02b3a · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.637662Z

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=arxiv_source observed=2026-08-14T05:13:45.977320Z digest=sha256:e30843f45a3996f43451ccf56ceccc3aeeaf236e04ce88857c4151568cd8d63a

Observation 7a2b3784-b203-4294-b3ec-3d8789b4db94 · outbound

This paper cites Bower, R.

Gaps of Summands of the Zeckendorf Lattice Bower, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.626103Z

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=arxiv_source observed=2026-08-14T05:13:45.981979Z digest=sha256:79bc1027c8e1755bf81f7057bd3ff5e422e8a7946604bdda000a99ffe11e6305

Observation 506e6c0b-8ab8-4f20-ba93-5d81c7444ec5 · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.614799Z

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=arxiv_source observed=2026-08-14T05:13:45.986215Z digest=sha256:d3a9cad393f93f2d282458389bf1cec43018cf3f6973771ebc3d9c81f1e12f3f

Observation c509b616-6e8d-4002-be61-4de0a188e69f · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.603365Z

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=arxiv_source observed=2026-08-14T05:13:45.990842Z digest=sha256:1c83536d8c2c2f6aaa49b83e14a5df10e5400c6725e385923adb5e37fc1cf52d

Observation 76cb20d9-5d05-43fb-a81c-41631b57587b · outbound

This paper cites Catral, P.

Gaps of Summands of the Zeckendorf Lattice Catral, P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.590732Z

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=arxiv_source observed=2026-08-14T05:13:45.995785Z digest=sha256:7ecbab0a9f01e5468009382ce41e1af68789b2f858a14029a2685f49d5c689b7

Observation 2cc166c5-685d-4600-8821-abfc01218306 · outbound

This paper cites Catral, P.

Gaps of Summands of the Zeckendorf Lattice Catral, P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.576427Z

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=arxiv_source observed=2026-08-14T05:13:46.000966Z digest=sha256:7b35580838fa19a682aaa719949aa70a5c04c4764f15ca35343f36708392dade

Observation 4cd86519-f5f2-4a93-8826-8ba175b6b7f1 · outbound

This paper cites New Behavior in Legal Decompositions Arising from Non-positive Linear Recurrences.

Gaps of Summands of the Zeckendorf Lattice New Behavior in Legal Decompositions Arising from Non-positive Linear Recurrences

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T05:13:46.007156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:13:46.007156Z digest=sha256:d03c959f4a8d7a24241ea124c9a5ff4eaa80449b383271ad3d208d2d64a9849b

Observation b18f0287-345f-4cce-9f5b-3ad1a5ac2917 · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.564597Z

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=arxiv_source observed=2026-08-14T05:13:46.013498Z digest=sha256:eda482efe291bde9b25fa37eab5b625b228a995f6ba5b49e4418446b071659a9

Observation fd2bad64-949a-48d0-b7b1-9d3350db10c8 · outbound

This paper cites Demontigny, T.

Gaps of Summands of the Zeckendorf Lattice Demontigny, T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.549135Z

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=arxiv_source observed=2026-08-14T05:13:46.018548Z digest=sha256:b0447145202edff008bec1502e44ef69014133a12e6ed02482d757073dde7577

Observation 3896f894-5798-417d-89a5-ffee1b4da940 · outbound

This paper cites Dorward, P.

Gaps of Summands of the Zeckendorf Lattice Dorward, P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.536059Z

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=arxiv_source observed=2026-08-14T05:13:46.028092Z digest=sha256:7f0aac5fcc343d4034df16d8e4351d76e8daaee830e73e2b8e69caf647ade82d

Observation c205adee-307c-49d1-b554-327a29f0610e · outbound

This paper cites Drmota and J.

Gaps of Summands of the Zeckendorf Lattice Drmota and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.520723Z

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=arxiv_source observed=2026-08-14T05:13:46.032793Z digest=sha256:5dcda34ac4472501c31c8eb43d0f2bcf56c84383a194def6cbe770726ebbb41a

Observation 39770fbf-443c-4e09-827e-e838e3c39cca · outbound

This paper cites Eger, Stirling's Approximation for Central Extended Binomial Coefficients, American Mathematical Monthly, 121 (2014), no.

Gaps of Summands of the Zeckendorf Lattice Eger, Stirling's Approximation for Central Extended Binomial Coefficients, American Mathematical Monthly, 121 (2014), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.506759Z

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=arxiv_source observed=2026-08-14T05:13:46.037470Z digest=sha256:0f3ebf97792b8c7a17cf64275279db1aeea445b51cfa62104c13f2127a6922cd

Observation 78a06959-e8ac-4e70-8f01-a76636c4272a · outbound

This paper cites Central Limit Theorems for Compound Paths on the 2-Dimensional Lattice.

Gaps of Summands of the Zeckendorf Lattice Central Limit Theorems for Compound Paths on the 2-Dimensional Lattice

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:13:46.203746Z

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=arxiv_source observed=2026-08-14T05:13:46.042546Z digest=sha256:cefa88a14c95fbc8008c37379aaef77041cb47fd666e0e8cda014cc3a6550d8c

Observation 7f37a2e2-c74a-49b4-9ec8-2f6f883d60fd · outbound

This paper cites Filipponi, P.

Gaps of Summands of the Zeckendorf Lattice Filipponi, P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.492686Z

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=arxiv_source observed=2026-08-14T05:13:46.048280Z digest=sha256:b783c11a04968cc595575eb39e04d40fb587f4c9f26b29a22dbb0728d7e163f9

Observation bed51976-1118-4636-9f4b-ee827282a15f · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.479613Z

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=arxiv_source observed=2026-08-14T05:13:46.053076Z digest=sha256:6bfe1962a1e66fdbbf21302614ef96e1901666935837c37708cc2d3bc73f9f9d

Observation ff1130bd-3532-49f0-b68e-0e3a6d97ded8 · outbound

This paper cites Gordon, M.

Gaps of Summands of the Zeckendorf Lattice Gordon, M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.465750Z

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=arxiv_source observed=2026-08-14T05:13:46.057937Z digest=sha256:5abcce2773b2f327195e629ccf065925e1f0769eb65df4efe05e0a5a74fc240b

Observation a3410c39-9106-4da2-9689-792e046167ff · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.452151Z

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=arxiv_source observed=2026-08-14T05:13:46.062590Z digest=sha256:8d224f80d036b05fe3bfc19ab67f59483eb847410f13a366212ae8893aa506e6

Observation d87737e0-7a3c-49d3-a5c3-fe247b7149dc · outbound

This paper cites Hamlin, Representing Positive Integers as a Sum of Linear Recurrence Sequences, Fibonacci Quarterly 50 (2012), no.

Gaps of Summands of the Zeckendorf Lattice Hamlin, Representing Positive Integers as a Sum of Linear Recurrence Sequences, Fibonacci Quarterly 50 (2012), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.439926Z

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=arxiv_source observed=2026-08-14T05:13:46.067219Z digest=sha256:52f903d62a291cb0dc7af2faf2007b66d4744b80bce83670218740b9fb3021ce

Observation b3fb3ef6-acf7-4592-8379-f54cb0db8a32 · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.423226Z

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=arxiv_source observed=2026-08-14T05:13:46.071164Z digest=sha256:a23ffb190c1b4e348ba8aa6217211b586ca92c1155c168fb6041566fc8587e46

Observation 7296287a-2d59-4ee6-9ace-f9c5d61677af · outbound

This paper cites Hamlin and W.

Gaps of Summands of the Zeckendorf Lattice Hamlin and W

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.408731Z

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=arxiv_source observed=2026-08-14T05:13:46.075640Z digest=sha256:65a75c388dc689507393c7e59c8a5487023375fe5cc995d550dd95ab8f4d9b41

Observation f6e1dab0-d398-427d-a738-f2964cf67d0e · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.393315Z

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=arxiv_source observed=2026-08-14T05:13:46.079908Z digest=sha256:f595670c3c1d426efbeb756e0035ad6d659f2dba2dfba696736638c415fd772e

Observation dc4c76fc-f763-46b3-b406-3e92dde54220 · outbound

This paper cites Kologlu, G.

Gaps of Summands of the Zeckendorf Lattice Kologlu, G

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.380953Z

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=arxiv_source observed=2026-08-14T05:13:46.083769Z digest=sha256:7ca97fe5301cc166368bf66f64649f181ab69d2f6635f5ade45a90657f37ab1a

Observation e75523fc-dc4d-451b-8381-5d8f71e0bb7d · outbound

This paper cites Lamberger and J.

Gaps of Summands of the Zeckendorf Lattice Lamberger and J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.368393Z

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=arxiv_source observed=2026-08-14T05:13:46.088287Z digest=sha256:80cdb03aadcb15bda70d52a86cf996b4df58b686cf69de2d3cc12be837e6bd31

Observation deb791f1-2d69-4d44-bed8-8505b74f3d2b · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.354572Z

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=arxiv_source observed=2026-08-14T05:13:46.092775Z digest=sha256:14e4fd3369b8e23b7a061286309b20d9c761b5f3118dfa5d5b0c2c7adc54c2ed

Observation dcdd9b4d-41f5-41d6-88d0-7b806a16b096 · outbound

This paper cites Lengyel, A Counting Based Proof of the Generalized Zeckendorf's Theorem, Fibonacci Quarterly 44 (2006), no.

Gaps of Summands of the Zeckendorf Lattice Lengyel, A Counting Based Proof of the Generalized Zeckendorf's Theorem, Fibonacci Quarterly 44 (2006), no

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.342935Z

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=arxiv_source observed=2026-08-14T05:13:46.097273Z digest=sha256:bbd19d5d9cf216386eb9a0b23672a1490d834f243a1278f1c1edf14d135e9d3c

Observation f95ab015-bfd1-407f-b2fd-6c425907a241 · outbound

This paper cites Li and S.

Gaps of Summands of the Zeckendorf Lattice Li and S

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.330951Z

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=arxiv_source observed=2026-08-14T05:13:46.101911Z digest=sha256:7cac12151151a7641543c039114ab7bfe28a892faa3be66466d05f4bf7d29de3

Observation f4e1ff9c-525d-4cae-b984-9e63fb893499 · outbound

This paper cites Central Limit Theorems for Gaps of Generalized Zeckendorf Decompositions.

Gaps of Summands of the Zeckendorf Lattice Central Limit Theorems for Gaps of Generalized Zeckendorf Decompositions

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:13:46.183996Z

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=arxiv_source observed=2026-08-14T05:13:46.107147Z digest=sha256:ba2996148fa48610cfd20c9e6e5caa9e14544a0b709f9275d9c8806fbf3b34fa

Observation 756f8fab-3958-4fc7-a884-5ea24239c08a · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.317496Z

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=arxiv_source observed=2026-08-14T05:13:46.112427Z digest=sha256:b5455d9f3a543ca16d12ab54c2aaea72137f6ded2209b8323ef8d565c381fcb5

Observation d23f829a-6891-4e8c-a7c2-e33bafb93bc0 · outbound

This paper cites Miller, Y.

Gaps of Summands of the Zeckendorf Lattice Miller, Y

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.303688Z

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=arxiv_source observed=2026-08-14T05:13:46.116918Z digest=sha256:0ca63cf87445d1cbb510ec7e909f3d9ddc5444bcd08cc7af8ee95e51631bee9d

Observation 16333102-72c1-49b6-b993-aa431c69911d · outbound

This paper cites Miller, Y.

Gaps of Summands of the Zeckendorf Lattice Miller, Y

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.288714Z

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=arxiv_source observed=2026-08-14T05:13:46.121385Z digest=sha256:438d707caa28eb23eeb193948f186c0e028d879e6561bff7114abed64b943176

Observation 041c95c2-6113-43b0-89a3-daf947a2e06f · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.275237Z

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=arxiv_source observed=2026-08-14T05:13:46.125845Z digest=sha256:e7f06a61783950620f84a58ed22a2b5f18b53e53fb7ac7898c91207dee611ca3

Observation 67d20905-c3ea-4adf-87a0-3cf42c45dcee · outbound

This paper cites Steiner, Parry expansions of polynomial sequences, Integers, 2 (2002), Paper A14.

Gaps of Summands of the Zeckendorf Lattice Steiner, Parry expansions of polynomial sequences, Integers, 2 (2002), Paper A14

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.261863Z

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=arxiv_source observed=2026-08-14T05:13:46.131377Z digest=sha256:a6b82f5e4eb643c9ca1fe08126760e8fac893c93b24accbaf8e03ce0f19c08e5

Observation 342e82c4-e35c-4e16-8805-30e828197fc3 · outbound

This paper cites Steiner, The Joint Distribution of Greedy and Lazy Fibonacci Expansions, Fibonacci Quarterly, 43 (2005), 60--69.

Gaps of Summands of the Zeckendorf Lattice Steiner, The Joint Distribution of Greedy and Lazy Fibonacci Expansions, Fibonacci Quarterly, 43 (2005), 60--69

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:13:46.247696Z

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=arxiv_source observed=2026-08-14T05:13:46.136232Z digest=sha256:e11281a4c11b0f919f58cbe1a0c870c88ae0b67603a1814ba480008183b04803

Observation bc99419a-6f08-41c3-a6a2-dcce38c68cc5 · outbound

This paper cites an unresolved cited work.

Gaps of Summands of the Zeckendorf Lattice Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:13:46.232786Z

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=arxiv_source observed=2026-08-14T05:13:46.140766Z digest=sha256:8784b5fea9acc5b81fee7e39e80fb7cb9aacdcb8830a586aa263849c402e1c04

Pith citing papers

No inbound Pith citation observations are available.