Paper Citation Record · LEDGER

Universal Characteristic-free Resolution of Singularities, I

As of 22 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2507.21400.

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

pith.paper-citation-record.v1
2507.21400 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:57:44.671652Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:19:47.717246Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T04:19:47.794327Z

Reference resolution

21 of 21 outbound references displayed

verified exact2
verified fuzzy9
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8cb938a8-0bce-486d-bd3d-98c6e0740378 · outbound

This paper cites Abhyankar, Resolution of singularities of embedded algebraic surfaces, Springer Mono- graphs in Mathematics, Acad.

Universal Characteristic-free Resolution of Singularities, I Abhyankar, Resolution of singularities of embedded algebraic surfaces, Springer Mono- graphs in Mathematics, Acad

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:45.067401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7236e0b1-adf3-4f40-802b-a69b2ad07bf5 · outbound

This paper cites Functorial embedded resolution via weighted blowings up.

Universal Characteristic-free Resolution of Singularities, I Functorial embedded resolution via weighted blowings up

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T12:57:44.574617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e296e0a4-0dfe-42d2-9c7b-517fc838d53f · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:45.050993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d51cbb1e-29d1-498d-97a5-4e13167fb2e9 · outbound

This paper cites Hautes ´Etudes Sci.

Universal Characteristic-free Resolution of Singularities, I Hautes ´Etudes Sci

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:45.035569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f0b7662c-fe68-4a89-9b8d-d80e01ccdcb2 · outbound

This paper cites Hartshorne, Algebraic Geometry, Springer, 1977.

Universal Characteristic-free Resolution of Singularities, I Hartshorne, Algebraic Geometry, Springer, 1977

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:45.019854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d462228b-2c80-43ea-8177-848e06217b70 · outbound

This paper cites of Math., 2, 79 (1), (1964) 109-203, 205-326.

Universal Characteristic-free Resolution of Singularities, I of Math., 2, 79 (1), (1964) 109-203, 205-326

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:45.003448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9c716562-21c6-4bef-a898-bdb12b62a29c · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:44.986188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9ff2b323-118e-441f-a1cf-c70c74da5608 · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:44.970627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d07810e2-0295-4423-99eb-a31e015ab5c1 · outbound

This paper cites Resolution of Singularities in Arbitrary Characteristic.

Universal Characteristic-free Resolution of Singularities, I Resolution of Singularities in Arbitrary Characteristic

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:57:44.752818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5f4c2b5d-aa74-4b71-9607-ea4fa73412a2 · outbound

This paper cites arxiv 2025.

Universal Characteristic-free Resolution of Singularities, I arxiv 2025

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:44.954907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ae2dd69b-e7d4-4185-b0da-f32687bf7016 · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:44.939685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 91c2f36d-0639-45a4-967b-3008969615a8 · outbound

This paper cites pasted together.

Universal Characteristic-free Resolution of Singularities, I pasted together

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:44.922964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 38e65542-690d-4946-8d60-f9d5644ce8c9 · outbound

This paper cites (French) [Surgery on Grassmannians], CRM Monogr.

Universal Characteristic-free Resolution of Singularities, I (French) [Surgery on Grassmannians], CRM Monogr

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:44.906267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a6c1307c-27fa-46a9-8080-d836ae252d84 · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:44.889206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b17ef8ff-d94e-45a1-aab9-3f83808f63a2 · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:44.871721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 395b9b7b-79c1-4ecf-9670-d517e5d38888 · outbound

This paper cites Very fast, very functorial, and very easy resolution of singularities.

Universal Characteristic-free Resolution of Singularities, I Very fast, very functorial, and very easy resolution of singularities

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:57:44.725017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 33a97ca0-739b-4ef1-85a5-a45331dd8bff · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:44.853760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 60b89575-3cfb-411a-b8f5-b6570b70f224 · outbound

This paper cites Temkin, Tame distillation and desingularization by p-alterations, Ann.

Universal Characteristic-free Resolution of Singularities, I Temkin, Tame distillation and desingularization by p-alterations, Ann

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:44.837520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0b4dee22-f279-44bd-8c62-6033add09617 · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:44.820545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 545e3216-3e9d-4595-85c8-b7826169d96e · outbound

This paper cites an unresolved cited work.

Universal Characteristic-free Resolution of Singularities, I Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:57:44.804211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 49d0ffd4-c6b8-4248-80b1-02bddcf09251 · outbound

This paper cites AMS (1947), 1 - 52.

Universal Characteristic-free Resolution of Singularities, I AMS (1947), 1 - 52

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:57:44.788090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation b7fe53eb-61a2-4756-aab8-3425ed1516a6 · inbound

Introduction to Universal Equations and Characteristic-free Resolution cites this paper.

Introduction to Universal Equations and Characteristic-free Resolution Universal Characteristic-free Resolution of Singularities, I

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:19:47.800988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.