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Paper Citation Record · LEDGER

Q-divisor and Ampleness

As of 15 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2411.18081.

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

pith.paper-citation-record.v1
2411.18081 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:41:51.146951Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0300e7ef-6fd0-4830-8af0-f9d66f25b7e0 · outbound

This paper cites Artin, Grothendieck topologies, Harvard university, 1962, Notes on a Seminar.

Q-divisor and Ampleness Artin, Grothendieck topologies, Harvard university, 1962, Notes on a Seminar

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:51.437830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.070162Z digest=sha256:604f6d7bda11829d3ebca785c679382eb3f562ec671e24184df543e52f3fb3ef

Observation 027810d3-fab8-4e9a-b073-d059a3ac5372 · outbound

This paper cites 180, Cambridge University Press, 2019.

Q-divisor and Ampleness 180, Cambridge University Press, 2019

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:51.421310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.075775Z digest=sha256:8e9934294cd57046fd3db20dda15d509dd8ec42393075ae41bb66572aa835fca

Observation 9fb1051e-1d0e-4c43-b26c-69a29a4ef6d2 · outbound

This paper cites an unresolved cited work.

Q-divisor and Ampleness Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:51.405563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.081024Z digest=sha256:00941caa46ac8c441576be6069f96d6f7ce03ede1e6fdc353c699e8df9d71330

Observation 1fc0633c-2004-4cb9-9211-1f0741f611b0 · outbound

This paper cites an unresolved cited work.

Q-divisor and Ampleness Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:51.389187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.085974Z digest=sha256:6b17335f20eb22f9b8e39d195397e6ced2c26bd8d72a8517300b3aa7d357db4a

Observation 45da9e0d-36fa-4cd7-877e-9a24c9cb9a3e · outbound

This paper cites an unresolved cited work.

Q-divisor and Ampleness Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:51.372750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.092136Z digest=sha256:2297f68bf123fb1584f2a96cbabe6f86ba0110d42aa4774756249c8c7b8156d2

Observation 55cc135e-6827-4b3e-884a-4f03eac084c3 · outbound

This paper cites 52, Springer-Verlag, 1977.

Q-divisor and Ampleness 52, Springer-Verlag, 1977

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:51.356849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.097072Z digest=sha256:3673cb2c2e58d42771cbcb55a7144de355ab5bd9dfbe9175155061c0f8790f29

Observation 13bb78fd-a72d-4e2e-b3bd-5028c2429616 · outbound

This paper cites Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs, vol.

Q-divisor and Ampleness Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs, vol

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:51.339892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.102637Z digest=sha256:126c8c2b90c57a8e7b08e3797d3ce7458838e396a363e1659d7fcebb4d39f064

Observation b5dae4cf-fbda-45d1-9daf-dced34c2ad31 · outbound

This paper cites 63, American Mathematical Society, 1999.

Q-divisor and Ampleness 63, American Mathematical Society, 1999

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:51.322500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.107661Z digest=sha256:7b5f5d62bf47608bcd134e483e4382076231b550f23c78e4873687087dbea10c

Observation 66cea361-c3e5-49a8-8672-05b949c3b589 · outbound

This paper cites an unresolved cited work.

Q-divisor and Ampleness Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:51.303686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.112339Z digest=sha256:4a2b1d8d8d3b17d356f037b8c898d21806fed9b73f1e29c401fcc5c0d5233f18

Observation 6203f15c-9a10-4327-bcc7-675ca4ca0116 · outbound

This paper cites 332, Springer-Verlag, 2006.

Q-divisor and Ampleness 332, Springer-Verlag, 2006

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:51.286480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.117036Z digest=sha256:7411b5861ec7b44b0805775bde070a7e4bd98f14f13b0d932717e92ee2a4a8f2

Observation e20b7ddd-2521-4577-81ed-369f5295f61a · outbound

This paper cites an unresolved cited work.

Q-divisor and Ampleness Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:51.269897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.121740Z digest=sha256:1f826f7a2524c034616bebaed547f55f6da637af144c7c25b74f5e6b1ca1e535

Observation 98ebc235-df2e-4917-9fd2-e6a1777c6eb7 · outbound

This paper cites an unresolved cited work.

Q-divisor and Ampleness Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:51.252942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.126689Z digest=sha256:aa02f4d99e6e57bfab7d62e04cef3596a04447317d64d54bfc27784ba0d945a0

Observation 8e01bd32-8b01-4499-bb70-48ab5d4e612a · outbound

This paper cites an unresolved cited work.

Q-divisor and Ampleness Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:51.236655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.131779Z digest=sha256:e3873a60c1ec5807c01b39a9594134cf7a064966c36093c2edd863238394e2e0

Observation 1d0d00b9-bc7f-4771-beef-56d143c33373 · outbound

This paper cites Homotopical presentation of categories.

Q-divisor and Ampleness Homotopical presentation of categories

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-12T11:41:51.191358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.136749Z digest=sha256:c79129e358be64e2b0e018b49211117baa0242583ecdae3563f7b04b79825dd3

Observation 16337427-4726-418b-8cda-f200f121dc72 · outbound

This paper cites 170, Princeton University Press, 2009.

Q-divisor and Ampleness 170, Princeton University Press, 2009

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T11:41:51.142071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:41:51.142071Z digest=sha256:88324396e745a392672537753d2c3a44eb55dd28674aa4c8efc5eea358bcd339

Observation 8291adae-15a6-44c9-ab4f-f17842066db5 · outbound

This paper cites 43, Springer-Verlag, 1967.

Q-divisor and Ampleness 43, Springer-Verlag, 1967

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:51.208852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.146951Z digest=sha256:7a0d73d6e329a3a37211b91c758090c7608624da8af79d56228a37739b2306f4

Pith citing papers

No inbound Pith citation observations are available.