Paper Citation Record · LEDGER

Mathematical reflections on modified fractional counting

As of 7 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.12057.

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

pith.paper-citation-record.v1
2506.12057 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:23:40.596471Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

13 of 13 outbound references displayed

verified exact2
verified fuzzy3
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2bf8a347-af6e-4c0c-abe3-6b68bbff8ecc · outbound

This paper cites & Teicher, H.

Mathematical reflections on modified fractional counting & Teicher, H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:43.409599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 93baa126-e966-491d-826a-5977ef4047e8 · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:43.194007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2940b556-bec3-4b8f-b3bb-2b2a24ba4851 · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-07T12:23:41.123300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d7bb379a-95f6-4274-b4bf-1bc67a35e38a · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:43.033396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4b054250-1b19-4bdb-bda3-8b2157d53842 · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:42.812731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f689ff64-239c-42ba-93da-4c5ad286b57d · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:42.620594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 718b7700-18a3-486a-b4f3-f766add606c1 · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:42.419432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c0fbdf69-84a2-4ca2-8426-392b1b067719 · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:42.174153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bde69c5e-7e81-476b-a6ea-fdbb3858c927 · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:41.952073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a027f08f-2443-4002-9e8b-69765a4c1e48 · outbound

This paper cites an unresolved cited work.

Mathematical reflections on modified fractional counting Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:41.720285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 011f2f2a-be31-49e8-8b5b-1735f56f9a03 · outbound

This paper cites (2025).The motivations for and effects of modified fractional counting.

Mathematical reflections on modified fractional counting (2025).The motivations for and effects of modified fractional counting

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:41.494388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9fc05fa8-8f49-4244-aa61-8ac166aa3ba7 · outbound

This paper cites S., Herbert, R., & Plume, A.

Mathematical reflections on modified fractional counting S., Herbert, R., & Plume, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:41.294403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d231cadd-f95a-47af-827c-175c173f0164 · outbound

This paper cites Torres-Salinas, & W.

Mathematical reflections on modified fractional counting Torres-Salinas, & W

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T12:23:40.856257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.