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Paper Citation Record · LEDGER

Colored base-3 partitions, sequences of polynomials, and perfect numbers

As of 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2509.03147.

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

pith.paper-citation-record.v1
2509.03147 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:18:52.883444Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

7 of 7 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29426cc0-ae50-49ff-b901-0c9926abd4b1 · outbound

This paper cites Dilcher and L.

Colored base-3 partitions, sequences of polynomials, and perfect numbers Dilcher and L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:18:54.609021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:18:52.193872Z digest=sha256:c098f9655c904fb82075a41872e645e2dd04d190e85f22b957b4a3c70e9a4ef9

Observation 2ba25107-7155-439a-ae62-df61947dc46f · outbound

This paper cites Dilcher and L.

Colored base-3 partitions, sequences of polynomials, and perfect numbers Dilcher and L

Reference 2

Resolution
verified exact
doi, observed 2026-08-05T11:18:53.151754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:18:52.333028Z digest=sha256:32bd4be2e0c96309c0263024632c1f77a4d5b79f23f67ff3c59f780839958ca0

Observation d146cf4b-5284-4565-abd4-b869bde29e23 · outbound

This paper cites an unresolved cited work.

Colored base-3 partitions, sequences of polynomials, and perfect numbers Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:18:54.344815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:18:52.400173Z digest=sha256:dfa2a0ff7e4cb6b1d3f0876026b4e0d7096cd1a97c21ff6f170c57ad7720a81d

Observation 7fc49074-6ae3-409f-83f8-e4e5cff82e1b · outbound

This paper cites Laradji and A.

Colored base-3 partitions, sequences of polynomials, and perfect numbers Laradji and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:18:54.137990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:18:52.509945Z digest=sha256:f9d4d99ca1e25e824144d74ba4a3033e97830703d0fbfb06e2a2dc8e2744c7f4

Observation a2db5f39-8026-45cb-aadb-81e0a39384f4 · outbound

This paper cites (2011), The On-Line Encyclopedia of Integer Sequences , http://oeis.org.

Colored base-3 partitions, sequences of polynomials, and perfect numbers (2011), The On-Line Encyclopedia of Integer Sequences , http://oeis.org

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:18:53.838841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:18:52.624375Z digest=sha256:20a435ab8294b6642896dbebb090b1c7d508186eec5e33bef1ffab9da58e9edb

Observation 14d19f56-8d1e-427d-af47-74aff611de21 · outbound

This paper cites an unresolved cited work.

Colored base-3 partitions, sequences of polynomials, and perfect numbers Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:18:53.624447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:18:52.759551Z digest=sha256:2297af4d333f821af5d8a5a72ed50ff56731299dbc57642caaf8b94d799c5048

Observation 23ccdb8f-0999-4f55-b69d-b2fb1cb886da · outbound

This paper cites Ulas and B.

Colored base-3 partitions, sequences of polynomials, and perfect numbers Ulas and B

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:18:53.383460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:18:52.883444Z digest=sha256:46ed36724594ee0bf6cc5375e837af7f6844462321a4de2c214a30ca646ed327

Pith citing papers

No inbound Pith citation observations are available.