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Paper Citation Record · LEDGER

A study of a family of self-referential sequences

As of 21 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2506.18103.

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

pith.paper-citation-record.v1
2506.18103 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:06:38.407968Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f278bc78-b1a6-4920-a6cb-35fcb64a94e2 · outbound

This paper cites Allouche and J.

A study of a family of self-referential sequences Allouche and J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:06:38.550094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.339026Z digest=sha256:d9d147f6580e149deafa9499347ee10cfe35f26c53de127affdb83f43272ee9d

Observation ed3a06e1-e2d0-48d3-b88f-26bb874bd867 · outbound

This paper cites Regularization in Spider-Style Strategy Discovery and Schedule Construction,.

A study of a family of self-referential sequences Regularization in Spider-Style Strategy Discovery and Schedule Construction,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:06:38.539449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.372802Z digest=sha256:1de34f0d6b80aaa4d2b6fc638c62c5cd0edbf43302b0d3bde5a2a41b1249b7b3

Observation 64dfc8df-75ae-4167-b45c-fe0e61b05788 · outbound

This paper cites Beatty, Problem 3173,Amer.

A study of a family of self-referential sequences Beatty, Problem 3173,Amer

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:06:38.527535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.377620Z digest=sha256:d92294f6d8e1a89d7b1a07e8c59d9f47479f1e967c63dcc99fe5296970ba4097

Observation ccd137b6-ae22-4b6b-9134-435cb7757fbb · outbound

This paper cites A remarkable sequence of integers,.

A study of a family of self-referential sequences A remarkable sequence of integers,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:06:38.515103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.381817Z digest=sha256:5e89d3c94fa8eca4fcf477d0c568d94dbee74b555a99ca115146468e31e280d8

Observation fe366ed4-4934-43dd-b004-003bb4557db2 · outbound

This paper cites Numerical analogues of Aronson’s se- quence,.

A study of a family of self-referential sequences Numerical analogues of Aronson’s se- quence,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:06:38.503338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.385961Z digest=sha256:8b203db312ec8b3e8dadbbb900f1cb94a26289d3b13dfc3cc823f1e90e2901e2

Observation f6c35a24-bfd7-4678-9b22-d7d08135dfd8 · outbound

This paper cites Ramsey numbers and pseudo-random graphs,.

A study of a family of self-referential sequences Ramsey numbers and pseudo-random graphs,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:06:38.490106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.390474Z digest=sha256:2906ba24c8e9c4a5b13667ec03eb42d88e8d36be228bb5f8498c199d5cc9977a

Observation 90588db2-0145-4042-ba8d-a45eddd5ff2e · outbound

This paper cites $\beta$-DPO: Direct Preference Optimization with Dynamic $\beta$.

A study of a family of self-referential sequences $\beta$-DPO: Direct Preference Optimization with Dynamic $\beta$

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T19:06:38.394472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:06:38.394472Z digest=sha256:338e60794a4a0af73c682c24535a3dc57eb17e046f4255ce7487d0388c43fe0c

Observation 891dd1fb-2e75-4f1b-85c1-226c64269484 · outbound

This paper cites Spiral covering designs and lower bounds,.

A study of a family of self-referential sequences Spiral covering designs and lower bounds,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:06:38.478544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.398632Z digest=sha256:5847faa8d616e6a80feed31829960622c10ee2d7144c2e1fa66bfa7ab84993a3

Observation 0bac1ebb-2917-421a-938f-02352d1b447a · outbound

This paper cites an unresolved cited work.

A study of a family of self-referential sequences Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:06:38.466216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.403273Z digest=sha256:f1acad2d814702c7ea412f4e68677e97308f9bd44f465e75c375001fd382ad9f

Observation 62b6b930-41c5-411d-9ce9-27ad0278d3e8 · outbound

This paper cites The combinatorics of certain k-ary meta-Fibonacci sequences,.

A study of a family of self-referential sequences The combinatorics of certain k-ary meta-Fibonacci sequences,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:06:38.453275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T19:06:38.407968Z digest=sha256:baf8e8e92197fa51152e4adb375158e3c872ebc828dae70d9f4a7d4f72b54851

Pith citing papers

No inbound Pith citation observations are available.