Paper Citation Record · LEDGER

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions

As of 14 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.05723.

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

pith.paper-citation-record.v1
2607.05723 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T20:02:53.295835Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

15 of 15 outbound references displayed

verified exact1
verified fuzzy14
unresolved0
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malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c3c9db6c-65ca-4fb8-8e1e-c2bbe35e5306 · outbound

This paper cites Lojasiewicz inequalities and applications.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Lojasiewicz inequalities and applications

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-08T20:05:34.114057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 27a8abf8-232a-4111-87d9-c14003340c6f · outbound

This paper cites Quadratic structures associated to (multi) rings.Categories and General Algebraic Structures, 16(1):105–141, 2022.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Quadratic structures associated to (multi) rings.Categories and General Algebraic Structures, 16(1):105–141, 2022

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.408499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c2a669a7-d5af-4dbc-988c-7fb0b9ee4384 · outbound

This paper cites Functorial relationship between multirings and the various abstract theories of quadratic forms.São Paulo Journal of Mathematical Sciences, 16:5–42, 2022.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Functorial relationship between multirings and the various abstract theories of quadratic forms.São Paulo Journal of Mathematical Sciences, 16:5–42, 2022

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.410341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e1157eba-34dc-4acb-b679-3561ad47405c · outbound

This paper cites Number 689 in Memoirs AMS.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Number 689 in Memoirs AMS

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.406772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fe3ebaae-2cb9-4627-8407-d4d2f8c11919 · outbound

This paper cites Number 1128 in Memoirs AMS.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Number 1128 in Memoirs AMS

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.411832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ac64bc15-231f-4026-b9e4-aed3227c463b · outbound

This paper cites Constructions in the category of real semigroups.Contemporary Mathematics, 69:107–134, 2017.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Constructions in the category of real semigroups.Contemporary Mathematics, 69:107–134, 2017

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.401733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 543aa984-84e1-4e6a-ac98-83ee7a028a21 · outbound

This paper cites Real semigroups and abstract real spectra.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Real semigroups and abstract real spectra

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.403354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b0b87314-13ab-4644-b3fd-72476766a20c · outbound

This paper cites Real semigroups, real spectra and quadratic forms over rings, 2012.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Real semigroups, real spectra and quadratic forms over rings, 2012

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.413482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 34376436-2dae-4243-8612-d790f1501f63 · outbound

This paper cites Spectral real semigroups.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Spectral real semigroups

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.398539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8ce8c43c-202e-4e09-8a4c-38e87b480762 · outbound

This paper cites Heldermann Verlag, 1989.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Heldermann Verlag, 1989

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.395347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c20024db-1b50-4ca5-86c3-a54e8eaeec42 · outbound

This paper cites Some applications of the łojasiewicz gradient inequality.Communications on Pure and Applied Analysis, 11:2417–2427, 2012.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Some applications of the łojasiewicz gradient inequality.Communications on Pure and Applied Analysis, 11:2417–2427, 2012

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.397001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e7d9faeb-40c4-43f6-b3fe-4121035f3b21 · outbound

This paper cites Springer.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Springer

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.400065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aed6d40b-8fff-4c35-a6b8-9e79b5121a00 · outbound

This paper cites Real reduced multirings and multifields.Journal of Pure and Applied Algebra, 205(2):452–468, 2006.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Real reduced multirings and multifields.Journal of Pure and Applied Algebra, 205(2):452–468, 2006

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.405032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d1686e74-43c5-41a9-bab2-ce12b7b1a2ed · outbound

This paper cites Lecture Notes in Mathematics 1636, Springer, 1996.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Lecture Notes in Mathematics 1636, Springer, 1996

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.393801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6cce9c18-b802-4f13-9c11-9ad0186da674 · outbound

This paper cites Boolean real semigroups.Tribute Series, 44:136–175, 2021.

Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Boolean real semigroups.Tribute Series, 44:136–175, 2021

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T20:05:34.391980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.