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Paper Citation Record · LEDGER

Experimenting with the Garsia-Milne Involution Principle

As of 10 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2501.18061.

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

pith.paper-citation-record.v1
2501.18061 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T01:06:31.813801Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8405087-599c-4ee5-8185-d121d46ae13f · outbound

This paper cites Number Theory16 (1983), 235–241.

Experimenting with the Garsia-Milne Involution Principle Number Theory16 (1983), 235–241

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T01:06:32.319264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.736343Z digest=sha256:e8d40dd35f2a818dc34660294e0714b3e174930666448e150ac50d0af610ee37

Observation 7559fcef-ebe0-4535-9ad3-a8b1399abf2d · outbound

This paper cites Math.113 (1995), 1–44.

Experimenting with the Garsia-Milne Involution Principle Math.113 (1995), 1–44

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T01:06:32.301375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.743046Z digest=sha256:0ab31b2e321e2bb2d85677fe747b8fdf8026a740dad1edf6ce7b836385deae8b

Observation ba3b8b83-2d65-4d41-9975-e087736f1c69 · outbound

This paper cites A bijective proof of the ASM theorem, Part I: the operator formula.

Experimenting with the Garsia-Milne Involution Principle A bijective proof of the ASM theorem, Part I: the operator formula

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-10T01:06:32.104834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.749153Z digest=sha256:d87cc3c516c7e44cd809a59d015f1a76fe1631148bfc09dd3f78d4d7f199ad7f

Observation 1c2f93e9-4f7e-4290-81dc-595942d4e88a · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T01:06:32.282140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.755998Z digest=sha256:847dcd110264a02b4cc738c95ec2c0b467eea09d94633d2a496011b62a136843

Observation 586a9808-54ea-4e2c-992c-e05b4e8a2418 · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T01:06:31.762387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T01:06:31.762387Z digest=sha256:3cbe28710fedb99c3c56b8e95fe4f0fa58a4a9fdc767fb95a72806fab55ff587

Observation 5bdbf257-67bd-42cc-96ce-83eae9b8c6b6 · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 6

Resolution
metadata mismatch
raw_fallback, observed 2026-08-10T01:06:32.077714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.768787Z digest=sha256:ecfd0ffd1c6de4ecb281624903ae72d43e554a70ac1cf04586d87b70f36233eb

Observation 7d7ba1c3-744c-46c7-bf45-7c06886e5f58 · outbound

This paper cites Andrews, Enumer.

Experimenting with the Garsia-Milne Involution Principle Andrews, Enumer

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T01:06:32.249466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.775069Z digest=sha256:b03b2474d32f94bb21feee93463999b11697a3db7e6ebb7ffe9c9c0e4956f074

Observation 817fa7c4-13fb-4444-a406-c20609abec3f · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T01:06:32.231381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.780645Z digest=sha256:86e1403939e67a1376b8f885910aca1135e86af2f4080aaf53b15b045ac6ebb4

Observation 0e2a5992-de35-45b1-93c9-abf9672646bc · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T01:06:32.213936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.785891Z digest=sha256:6f4e11d118f74222bbb4b1a432349cc0b8f3cc3adfab998f3e8e1ae6fe986942

Observation 34d55726-e34e-4617-9087-470649f2194f · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T01:06:32.197126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.791113Z digest=sha256:5e5766e41716d8efcdfa504cd2fc349490077fa6f98a587771bdebe138abc16a

Observation e8b99d35-7085-480d-a052-1005dd1c26da · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T01:06:32.178965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.796450Z digest=sha256:cce01f742e55fc3988dd08bfb3447dcdf9e552dc8cd6198eb83db880aad30621

Observation 04166b56-eb16-450a-9487-9c97a99a3d04 · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T01:06:32.161071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.802145Z digest=sha256:91adfc6367003f7d5d6751263b4f4d1ed4e434377146c9ffa9b42dfdb1b3d16b

Observation 453a9dab-22b7-4176-bf38-8ab1b0727010 · outbound

This paper cites an unresolved cited work.

Experimenting with the Garsia-Milne Involution Principle Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T01:06:32.143305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.808156Z digest=sha256:814eecd7fd897e56cf92c4cf27a41a69231ca761a2b15de82c446de2bad6fb04

Observation c66a08a4-332e-4a19-b302-5abc2ee79a98 · outbound

This paper cites Gowers, Princeton University Press, 2008, 550–561, available at http://sites.math.rutgers.edu/ ~zeilberg/mamarim/mamarimPDF/enuPCM.pdf.

Experimenting with the Garsia-Milne Involution Principle Gowers, Princeton University Press, 2008, 550–561, available at http://sites.math.rutgers.edu/ ~zeilberg/mamarim/mamarimPDF/enuPCM.pdf

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T01:06:32.123959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T01:06:31.813801Z digest=sha256:756093a8aadb631a14ce3bb3b43354f6751e398977adc76e091906fbf9c81750

Pith citing papers

No inbound Pith citation observations are available.