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Paper Citation Record · LEDGER

A refined view of a curious identity for partitions into odd parts with designated summands

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2505.21111.

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

pith.paper-citation-record.v1
2505.21111 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:49:19.160680Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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 fuzzy7
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 65afcf77-385c-4e16-96cf-a98084389eac · outbound

This paper cites Amdeberhan, K.

A refined view of a curious identity for partitions into odd parts with designated summands Amdeberhan, K

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:49:23.212979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:17.679471Z digest=sha256:debc63d70584e84a2f39a76fe91d38958941c42f7d07daf12fd6aed4e5c6cfcb

Observation 4367904c-0f58-4b09-aa93-7a93f9bc4e5e · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:23.040808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:17.838110Z digest=sha256:2a0618080b322f37404fdf28ccb42a1a447651e3a03fd63716543791737679d8

Observation cc012571-4fcb-407a-a5ec-4e2c8228c644 · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:22.855990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:17.967795Z digest=sha256:8e9c1d0769eb30a625ea7c100d3ad08d3f393ad05e8e734eacd2ce89bdfd8c1c

Observation b6a4e034-da8c-4a08-9709-c00633e2c7a7 · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:22.719285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.103150Z digest=sha256:5e9f737f65b2c64a131894b9939ccdeb1342857f0f3be9080a03a05fefc56d9a

Observation cbacbd94-435f-4d23-aca0-a0217e814641 · outbound

This paper cites Bachmann, MacMahon’s sums-of-divisors and their connection to multiple Eisenstein series,Res.

A refined view of a curious identity for partitions into odd parts with designated summands Bachmann, MacMahon’s sums-of-divisors and their connection to multiple Eisenstein series,Res

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:49:22.544516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.155993Z digest=sha256:37427e5d7a4c88ef178e1c58316998d4e766f7bb284706cf9edd7a229377fce6

Observation 4570b780-a7cd-4a1c-8818-ce9edbe0a577 · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:22.384972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.216991Z digest=sha256:ab5cf1d9a0a28c8fa00364d2c1af878d56023ab8b1105f21b692dbd18f363dd2

Observation 39178db3-4f1e-4b63-bb8a-ae65c38caa4a · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:22.260349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.295648Z digest=sha256:476c99d1fe0a69b5934a2d484e7e57e6b11394f31ca09aedc1700147c838cd6b

Observation c3f4d6f6-2c69-4415-9c20-a2c2a066f251 · outbound

This paper cites Chern and J.

A refined view of a curious identity for partitions into odd parts with designated summands Chern and J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:49:22.031415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.369057Z digest=sha256:a763f2314018b97d9c4e264b90bcff5601a0a849216090b2c55686c6a3ae02c8

Observation 512a0330-0219-4d10-af4e-f1717090e73c · outbound

This paper cites Corteel and J.

A refined view of a curious identity for partitions into odd parts with designated summands Corteel and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:49:21.783665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.456150Z digest=sha256:bdb1c28bd20db3be911ba81de319f2fa5d8627e013701ad8dc00d5168309b04f

Observation a7fcfffb-f8ed-41c2-892f-3502ee23ef69 · outbound

This paper cites Hemanthkumar, H.

A refined view of a curious identity for partitions into odd parts with designated summands Hemanthkumar, H

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:49:21.472064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.524587Z digest=sha256:14d79ecdf09971f3f14afa7cea06542083b752258bfbb44685770c9ebb490b90

Observation 5dce869a-a640-4a03-8220-68c6933ae29e · outbound

This paper cites Herden, M.

A refined view of a curious identity for partitions into odd parts with designated summands Herden, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:49:21.198365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.594614Z digest=sha256:953117518ba27cb5b84f874a806a3169ea44aaac9f9fefba39cc3d31d3ef03a7

Observation 5c7c0fb1-6770-4078-9791-1461b56532a4 · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:20.961340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.667587Z digest=sha256:9bf07a0e0eb5adc77707127e763f44d10a03087e9e45378d60f75f2304735b4f

Observation 2479c8df-2207-4f18-8861-a14cfdcd7d2a · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:20.652186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.755666Z digest=sha256:9bd5f2e8401c9da91943916b89529aca67ca2eec75f9a25d1115e2e9d5a69ea7

Observation 2c0b3c6b-d088-4c8f-aa4d-9643addb6b08 · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:20.352815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.873719Z digest=sha256:905bc714b8eb12a786c6e29120213fb9ab4452fac7c1a3c56d8e77d1a8550b4f

Observation 09539d38-279f-4d63-821f-732a177c1438 · outbound

This paper cites Ono and A.

A refined view of a curious identity for partitions into odd parts with designated summands Ono and A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:49:20.016348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:18.953079Z digest=sha256:db660f2b2d7b10a1c1a8c2a284ca8eac91f0e2dd7baca701be857087641b2b5e

Observation 1d57897c-2297-40fe-956b-b7b5144b5cea · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:19.722277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:19.056545Z digest=sha256:ef95bb2639989c66bc9a7549fa720dca172719f4403f9adc1b82ba1ca7a18dd9

Observation bc416c74-3fb1-4de3-ad1f-5f3beede0581 · outbound

This paper cites an unresolved cited work.

A refined view of a curious identity for partitions into odd parts with designated summands Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:49:19.416342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:49:19.160680Z digest=sha256:054a0d8b238db0f7ffacfb685780bbc16d699981710420b05ebd52d13051153b

Pith citing papers

No inbound Pith citation observations are available.