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Paper Citation Record · LEDGER

Universal Characteristic-free Resolution of Singularities, I

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.569170Z digest=sha256:e266d0d77d75f544cfa99e7ab1ec58605f98d1aa2ef348e7a88cf76e00ace637

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.

source=pdf_text observed=2026-08-06T12:57:44.574617Z digest=sha256:1055f8eeb262a6df856d09916a9ad4aa12fc1194baa67e102042ebd3c47128a7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.579790Z digest=sha256:a07d60b3c207d688d117f05b936554d6efdde2c204334973509a3135f51ee33b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.584624Z digest=sha256:27188e62306617821aa39326fdffabd61697409dd604dba63ec72f310251fcc4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.590034Z digest=sha256:702ec3f6be6fdaadad61cc7b79b56eb9f14a908ff9adc07615465e67dcc08970

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.594624Z digest=sha256:2f1b37cf64068c00e53ff7c24804ad53d15f7e0fdfcedd89d70b37f5851a756e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.599760Z digest=sha256:488e4e47859bc3ea39214a1f3a1c460244a34caf9e878558705d3c2cb2d35c5f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.604394Z digest=sha256:b3f06c1f7366859044553034bba9d9526ec6f1d0ec11415f5bdcb0cfa4081c95

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.609127Z digest=sha256:49dd9b9998138b60a160ee9b7212d0f39e0d7b14b5a3a11ebb868ade8889a263

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.613818Z digest=sha256:2cc2eb6025e48dadab02fd2d45dedf4d0e15a322e738634bebccd99cb09be2d0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.618877Z digest=sha256:893e7afb85b1c4d3fc8fd72da8cfa99e05348eb401cccac44a53bbd482b75027

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.624605Z digest=sha256:4702a5bc2379a20ba07fc042b4f590a829d1fafe8f3d4ee96fee6135ca2d0280

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.630678Z digest=sha256:026b0513d50040d527f8a40df33421d94b1ad3b545cb8ce56378a2cb2db81ae4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.637305Z digest=sha256:b19da856b0cbb0fd168e5820c8cf4b316b679460773aa341d771d14ccaed2e0a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.642596Z digest=sha256:b2d336c9b05ca803214e897c8267a6db2d9453643b40f0a9e5114c7ec0d57f6c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.647511Z digest=sha256:72335257854f0872adc2313f8063815ce0e0a5875a179920bd93e545e07c2fe3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.652420Z digest=sha256:1b3cfb0c2441f57ccc91dd4df361e262b702a787fa2d4c565e75a60f60891866

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.657837Z digest=sha256:099dff28507c483cfe0b62fd995f32502e99a5bb318c9e3a08a7af53bfeda8f0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.662488Z digest=sha256:6aad9f7bfb49bccfbfe7ecb180624b51eda62fb83c636ee89c5ecf1f4c04e9dd

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.666803Z digest=sha256:2f476f98f1edbe1ba496f5c5a8a6c2c65c0991245da74ffe29d76e7f123bae50

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:57:44.671652Z digest=sha256:4e580ca8c0ccc88cac4ed425a04d04d99a0512112fefba3ada33f1c5233d1103

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T04:19:47.717246Z digest=sha256:fd600e93edb7edf5604082b7291f7fcc1bb407d937d5749d7d9e5d7dacd86d5f