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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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.569170Z digest=sha256:f53945140def8fd3eff93e8f799edd5fee58c373d9dfa47f894e7b7f4a6e609d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.579790Z digest=sha256:06efb48b03428ea4cf64378d559872263f153cb761439ed4f9699f759ac0dfff

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.584624Z digest=sha256:86d4e962212adb369189f020ceb2459fd7157b73c95b5b621aeb089c917f31dc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.590034Z digest=sha256:7f305cb3222247b5cebe65993a7f33bdc6a8f1a61ac4e0f173e8052ba03857b2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.594624Z digest=sha256:d87ba8b2851954b5fdd6e381b3ff9ba66ea915cc73dd51adae3aac2a940dea1c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.599760Z digest=sha256:87a9db1e36f643abbe68aabd015016b8def614d164b7301b1259d6b9e4ad5069

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.604394Z digest=sha256:636235d41b84b368e26bb540e90ad2bceab0a3970111e492ff6b2b8cff4bc05c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.609127Z digest=sha256:ca8c40b7162dd7fa880c43224083204f15b190842bf09d14180f953ef36a0619

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.613818Z digest=sha256:f4a93319fde1feb090e49d736a130f54165566604de5dbe57a5667c4e1967878

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.618877Z digest=sha256:8cd64572e9bccee79594fd10140017e06a4d504adb002ce688c46c921ea6f2f3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.624605Z digest=sha256:6410ff149c55a344d3f5e18ff108ce635f731fc5dd74289babc832ca6ff68afc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.630678Z digest=sha256:09b98764eddd5c4b3f9aecd92681df3fd34709c4b806a765d3319e157c720cc0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.637305Z digest=sha256:7146085fc5be5d35100abdb58a26b2c2a76debf3a4bfccf7a0582331ae935cb2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.642596Z digest=sha256:e9fdba8bb1c7eae8667236e7a17001a70ae8fac75d7cbadb081274fb713055da

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.647511Z digest=sha256:4bce90a3ce206e5fe5e5193eef5e72e7f37b842d99d0fadbddda7853a153bc74

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.652420Z digest=sha256:6b85d78d22e4649af93fb9b4e1dcc13287582614115a5be7915ed6136e505c8a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.657837Z digest=sha256:f3f2556d59c8386e8520bf08f1849085ae5e0fb18d06f468e0d2bf7a1bb69d3d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.662488Z digest=sha256:19599dfbcb61de730a2245b2dbae388e0937c9021e069a7a3f981e953029fd43

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.666803Z digest=sha256:23574c0d8708414a7b08ec98cd189afdba2b0c71b0eb39a905108e45692603fb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T12:57:44.671652Z digest=sha256:f37db79e86d3778ca1a559b38098ce5e02126610fc8314e0176902a3aa7de3ff

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T04:19:47.717246Z digest=sha256:d2539bc7e79de439329ef00a1059f36941ce23723ab73111e7672925db8fddd0