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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T11:18:52.193872Z digest=sha256:87eb8bf0ca3224f6494b8f451d12bfef899b07e62fcbe2e9c949a089efd6d3d0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T11:18:52.333028Z digest=sha256:8f3996adc3f712efa32d209f364ab8324287ccd64627c34ede90dccb25cb41af

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T11:18:52.400173Z digest=sha256:b59148172ec064507689158ec7915f71ab29c467ee7e949b57c2a222de9b9021

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T11:18:52.509945Z digest=sha256:d3e79cd4a6983538ef7599820c7440b210c2ff6b673a46dcc75a416d7f0bc3d7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T11:18:52.624375Z digest=sha256:2d3e77d50b89852da0b322a6ffc1f4d35de049054edca97ec62b9a26c5dd7f0e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T11:18:52.759551Z digest=sha256:ad0957e9550e55deb9e0c35474048838ee0b2228beef09f0fef59ce4cc90413c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T11:18:52.883444Z digest=sha256:429f61bca55390fcf8a7216b5529c606f3966e6598300071f0c31285a013c2d5

Pith citing papers

No inbound Pith citation observations are available.