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Paper Citation Record · LEDGER

Q-divisor and Ampleness

As of 13 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.070162Z digest=sha256:545f2d44c2aaf44ddd78cc50b91df6d3661921f427391b1f52d5a7b11dbf1c51

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.075775Z digest=sha256:bfd1b98b612d880e68ab7b262a57b20145437a06cacc3ebe9b3711a6ffae3b41

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.081024Z digest=sha256:08b91cfc84d49e3a3280609a70cfef8e39945226260a0749674e47f6fba7e447

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.085974Z digest=sha256:44c0f85fed448b1aef867af6010b8a9be8aa5c1e92483dd545ad24ca068ea24b

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.092136Z digest=sha256:54d3be3059bedc482c33ba747ec75eaf39ed7b131b6606c92d9978633c3c7fb0

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.097072Z digest=sha256:9a4605e8dc0b2db1eecabf67a1e149a15691ee784685d9146ca657f2946f5952

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.102637Z digest=sha256:816cbec724e4a0406544f1d3919b8fe18a766dff9b9c53ebb9b8fd2fae16b369

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.107661Z digest=sha256:c6f42072fc522f1cd95d1229d21d268028a54adf2ec79fe24b87b18e2d85ff61

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.112339Z digest=sha256:b758015a555213528bd3058743203193a45de1b49879203fff608544f2189c74

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.117036Z digest=sha256:aa4fcf4cd6d84e49f26e5da65e20ec7551aafc8f6381d878f6ba6a5babb1c727

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.121740Z digest=sha256:afe37afd29ac5766ea3a02edeb1747ec8bdc77ae15bb0de385d88d05c9dcaf38

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.126689Z digest=sha256:08946e754362d135072e8577173a36deec2e0c559164a656508556cb3e01b421

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.131779Z digest=sha256:61049c0d98ddd0f973f75d7835c7794cde2928d6c644a21fc3ebf5bd02a63573

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.136749Z digest=sha256:a1107f851bcd7e0534a646526a642f6332a6ca7e00b418618fc7552227367e7e

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:41:51.146951Z digest=sha256:3cc3a58d3e0e35b546656bc30d5809108f65218ea8e544d9c09381c5f736a0ad

Pith citing papers

No inbound Pith citation observations are available.