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Paper Citation Record · LEDGER

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$

As of 11 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.01270.

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

pith.paper-citation-record.v1
2607.01270 v3

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T09:54:43.606173Z

measured 17 of 17 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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 640f1e6a-99d3-4cf6-8820-f02b8808d827 · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:4726dc7f8a55bd074e0dfdeae434160497ab8314d813e12daa08e0a3d5863289

Observation 29dd1e98-e1ac-4608-9e0b-19bf77b78ddb · outbound

This paper cites Bello-Cruz and R.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Bello-Cruz and R

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:ab956c4ecb0a4cd7662aa08a3f601e6ecb3ec3780c6019dfe793194f2db12a5f

Observation 4e81f2f6-2a35-4ff9-ae7d-91f0faf08720 · outbound

This paper cites Bello-Cruz and R.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Bello-Cruz and R

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:7d3954e95898bf1cd90a5f24bfc7d2a0b32083cca4ea909b19e997ccb0e0b84b

Observation 866eb6e4-c87d-447a-b4d8-1c9ee5ba4b98 · outbound

This paper cites Bello-Cruz and R.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Bello-Cruz and R

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:fdb84643cb8adb59ebf1f111cc0d94e12f8fae0efaedbec491bc3d28a80722a2

Observation 10946696-298b-4021-a3a0-422ebaa10742 · outbound

This paper cites Euler, Observationes circa novum et singulare progressionum genus,Novi Commen- tarii Academiae Scientiarum Petropolitanae20(1776), 123–139; reprinted inOpera Omnia, Ser.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Euler, Observationes circa novum et singulare progressionum genus,Novi Commen- tarii Academiae Scientiarum Petropolitanae20(1776), 123–139; reprinted inOpera Omnia, Ser

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:dcaa78e00fce2e27c7359b2771d789c6048d68c0eab149036ecf77c2277ceea9

Observation 17b53f00-50fd-4b1a-8ae4-c9c5fba94d09 · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:bb006eed44196c7e96ff23acd478a9e6256a547662f15d9a8ae5169317de0da4

Observation ec71456e-acf8-4a7a-b208-472c913fb3f5 · outbound

This paper cites Halbeisen and N.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Halbeisen and N

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:c8638a09653345a23f2e0ced8eb6c592896b41c8fe4cb1e5dab1f4c0c0d98505

Observation ad9e0633-5acb-4410-bb5d-032ad8a471ac · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:3846c440633bbe88e1815313386e69cc263cf10002f3926042843c89f0fa1504

Observation 59659329-941f-4ad5-96bc-8d42d479edfb · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:f86b5dbc66e5b675c752bb19eae02df9a06958564677a4cda603dda439fb0b7e

Observation c131279e-e4a6-4a09-a7b2-edcf49dde89c · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:c02349dd96507d57a59467552ff4fa0160b6c6809d653947d826c4d939e74a37

Observation 0122c641-11e1-4e21-b14d-2afeea467536 · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:014148841d1f5bab277464de5443f5253fd715c98237d268dcfc16a757c04f8c

Observation 0ad62e6e-b4de-49ca-8e77-d58c38b46253 · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:fd95575f944e3d38d15771599bbd37c1325722f2ec223d57eab07367c7c0677e

Observation 30dd74e7-f119-4c91-8628-52ae6db75b67 · outbound

This paper cites Ruskey and A.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Ruskey and A

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:4ae051dc3e9128b13fdc4363e0e007cf9b435b926cecf56f5a804127b7a3d36c

Observation 7b58c2f4-63bc-4607-a13c-b4320857f23e · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:a1a80af52c4f77af1bac87a3a6bb28b93e8fb99113c9a66e11ca177e183c9f44

Observation 5eb4186b-7326-471c-b657-b93ac0911eee · outbound

This paper cites an unresolved cited work.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:62ceb366d9e7a9d98f767ec870cebc6e9fe9df0c2245fa599033bc7cabfc536c

Observation df9ff43c-c491-4f89-a01a-10e6e28cd1b5 · outbound

This paper cites Th´ eriault, Generalizations of the Josephus problem,Util.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Th´ eriault, Generalizations of the Josephus problem,Util

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:638fcd8bf7b995ec8ef9c149a3086291c204f1211c61988060edb036080c6958

Observation 24bad505-fe1e-4e9a-aa93-0839a7ac407e · outbound

This paper cites Uchiyama, On the generalized Josephus problem,Tsukuba J.

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$ Uchiyama, On the generalized Josephus problem,Tsukuba J

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-12T09:54:43.606173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:54:43.606173Z digest=sha256:8ca0ebb858140681e429917eafdbb1025ce5c3ac1655ff2af179b4cd6a58fd60

Pith citing papers

No inbound Pith citation observations are available.