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Paper Citation Record · LEDGER

On the standard models of del Pezzo fibrations of degree four

As of 21 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2412.14857.

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

pith.paper-citation-record.v1
2412.14857 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:01:09.083032Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy28
  • unresolved7
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3509b319-aafd-409f-a2a0-1f4ec1ebc2c1 · outbound

This paper cites Abban, M.

On the standard models of del Pezzo fibrations of degree four Abban, M

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.922074Z digest=sha256:5d3fee20185a2f3eaf4119dd1cbbc69a92ff9305cf56a1b327ade3d19b335ef7

Observation 1f177e7d-d3bc-4280-a2ca-0a9bc110a440 · outbound

This paper cites Artin, Coverings of the rational double points in characteristic p, in Complex Analysis and Algebraic Geometry, Iwanami Shoten, Tokyo, 1977, 11--22.

On the standard models of del Pezzo fibrations of degree four Artin, Coverings of the rational double points in characteristic p, in Complex Analysis and Algebraic Geometry, Iwanami Shoten, Tokyo, 1977, 11--22

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.603118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.928069Z digest=sha256:84dbd231b0093881b6a1413f5e4655f969293535a6f095e6d08aa07945200afa

Observation a1154c75-f3dd-402a-a241-3c356498ab41 · outbound

This paper cites Birkar, Existence of flips and minimal models for 3-folds in char p, Ann.

On the standard models of del Pezzo fibrations of degree four Birkar, Existence of flips and minimal models for 3-folds in char p, Ann

Reference 3

Resolution
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raw_fallback, observed 2026-08-11T12:01:09.588932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.933428Z digest=sha256:60469ff254a16a70904aa03b31fa52dfa84a5bd774952e9c46b8b9eac47a1d89

Observation fedac10b-a001-4a27-aad9-8d53498fd77f · outbound

This paper cites Beheshti, B.

On the standard models of del Pezzo fibrations of degree four Beheshti, B

Reference 4

Resolution
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raw_fallback, observed 2026-08-11T12:01:09.574394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.938175Z digest=sha256:8868eb05d3760ed040ddf7c6ea2a572d9b1d978b765bb9743c75f8f4b7b58b33

Observation 8473552a-7b34-41c2-bc98-6c2e50988586 · outbound

This paper cites Brion, Linearization of algebraic group actions, Handbook of Group Actions (Vol.

On the standard models of del Pezzo fibrations of degree four Brion, Linearization of algebraic group actions, Handbook of Group Actions (Vol

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.560431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.943470Z digest=sha256:594595a74ff8ad3435e451473036df90c3c699bcf65716d33fda489f42f20ece

Observation 90ff41e9-a59c-46c7-bcc5-827b0998527d · outbound

This paper cites Birkar and J.

On the standard models of del Pezzo fibrations of degree four Birkar and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.546391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.948294Z digest=sha256:de79b9b4fcbc4b19eaf7acd7b4eb449042b838e331c18df6e5728fbac1bb43a1

Observation 512a8ab2-1d6f-4fe1-97a0-db70c4d8c76d · outbound

This paper cites Corti, Del Pezzo surfaces over Dedekind schemes, Ann.

On the standard models of del Pezzo fibrations of degree four Corti, Del Pezzo surfaces over Dedekind schemes, Ann

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.531997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.953401Z digest=sha256:0f55dba8fb934f896599240d027ef9c2b650099318352117e25592e1e1cba939

Observation 057be85d-3ffc-4d19-9b23-cf7f21a8d56c · outbound

This paper cites Cascini, H.

On the standard models of del Pezzo fibrations of degree four Cascini, H

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.517673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.957877Z digest=sha256:d836aaf4dadd55da5c0d848bbdd62469009a95c849afca490d4a518c747df930

Observation c8231089-6342-4143-a1ab-33cb267491a9 · outbound

This paper cites an unresolved cited work.

On the standard models of del Pezzo fibrations of degree four Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:09.502697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.962709Z digest=sha256:a4735b781d66cf9957e2149a4c90801c33f342c228ced8c2b20c6d0bfedfd550

Observation 127d96c6-6103-4ab1-9212-8d5e99781364 · outbound

This paper cites Hartshorne, Algebraic Geometry, Springer, Graduate Texts in Mathematics, vol.

On the standard models of del Pezzo fibrations of degree four Hartshorne, Algebraic Geometry, Springer, Graduate Texts in Mathematics, vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.488071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.967244Z digest=sha256:60e01a5e822359bf9a870accdbd43fd44199fb58aed0edb447439a7cfe92a33b

Observation cb727811-53bc-4143-86a9-a5df204c524f · outbound

This paper cites Hassett, A.

On the standard models of del Pezzo fibrations of degree four Hassett, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.474261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.971778Z digest=sha256:5a6a2b15df57a2d34981fd4dfc3ecc399a21fef30699406a48b84556cec4321f

Observation 0ae108ab-8695-4963-bac0-e83f7a700c8f · outbound

This paper cites an unresolved cited work.

On the standard models of del Pezzo fibrations of degree four Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:09.460996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.976395Z digest=sha256:cfb2579459a4ecae4eaa90a3adf49c1a7201ffdefe5c160b5e8fde824c06e49e

Observation e46e9170-b87a-4dc1-afb9-b436e5268022 · outbound

This paper cites Jelonek, On the Bertini theorem in arbitrary characteristic, Monatsh.

On the standard models of del Pezzo fibrations of degree four Jelonek, On the Bertini theorem in arbitrary characteristic, Monatsh

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.447158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.981329Z digest=sha256:11876ecc5c08df32a5fd027661995cdc5084af55d35bdda3c0f53c785e8d71e7

Observation e4d4fd1a-6945-4135-9401-a28c6ccee2ec · outbound

This paper cites Kawakita, Complex algebraic threefolds, Cambridge Studies in Advanced Mathmatics 209, Cambridge University Press, Cambridge, 2024.

On the standard models of del Pezzo fibrations of degree four Kawakita, Complex algebraic threefolds, Cambridge Studies in Advanced Mathmatics 209, Cambridge University Press, Cambridge, 2024

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.432272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.985843Z digest=sha256:fbd2d78f77d972587d0e7ddc21c9587bf59188e6f6728e26b2dec0245578b2aa

Observation a803e2a5-4709-4e90-908b-cb0f39db00d5 · outbound

This paper cites Kitagawa, Koll\'ar stability and standard models of del Pezzo fibrations (in Japanese), Master's Thesis, Nagoya University (2024).

On the standard models of del Pezzo fibrations of degree four Kitagawa, Koll\'ar stability and standard models of del Pezzo fibrations (in Japanese), Master's Thesis, Nagoya University (2024)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.417681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.990559Z digest=sha256:76b40c862df283fac007d91c0742a62b1b52fe634727320111e2e556215863dd

Observation 62a6456b-2362-4967-802f-145760c2372b · outbound

This paper cites an unresolved cited work.

On the standard models of del Pezzo fibrations of degree four Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:09.402479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.994933Z digest=sha256:1dd75e599197c2b34ba829302c42b036267874cfdbe04a8927d8fff8f02e21a8

Observation 3a121c02-9008-4509-be49-2917343a2fb1 · outbound

This paper cites Koll\`ar and Sh.

On the standard models of del Pezzo fibrations of degree four Koll\`ar and Sh

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.388519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.999274Z digest=sha256:7c8518daa53196efc36e9f79d049b8fe6aff98795684cd1a5b532e866d8f7e6c

Observation 2291de23-6f79-49f5-85f1-9d9f66e2a4a9 · outbound

This paper cites Koll\'ar, Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete.

On the standard models of del Pezzo fibrations of degree four Koll\'ar, Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.373904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.003957Z digest=sha256:a6ca95155179392cac94f77d4682cc0b94e1b69842cb07e96994df4ff72e1de6

Observation 304114f0-a576-4ba7-94c7-1d4156f1dcb7 · outbound

This paper cites Koll\'ar, Polynomials with integral coefficients, equivalent to a given polynomial, Electron.

On the standard models of del Pezzo fibrations of degree four Koll\'ar, Polynomials with integral coefficients, equivalent to a given polynomial, Electron

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.359353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.009496Z digest=sha256:1b42bf27825d3c5966914c643c609f889ffa425325fc5dd30e8cafb8a5b307cd

Observation cc494927-ba9e-4a89-bad8-be3a4ac37b9c · outbound

This paper cites Koll\'ar, Relative MMP without -factoriality, Electron.

On the standard models of del Pezzo fibrations of degree four Koll\'ar, Relative MMP without -factoriality, Electron

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.344208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.013822Z digest=sha256:92fe55b0f8a3e2fbf22df3e459fa99f22626749d687029e0b50e477f7470e8e9

Observation 54954c83-f390-4050-a725-f709607d0d1a · outbound

This paper cites Kresch and Y.

On the standard models of del Pezzo fibrations of degree four Kresch and Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.329049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.018410Z digest=sha256:dad9470715f51e7c07e25581578f101e2aef81bb5a28ce7f1a0f3d33c3def473

Observation e1adc58c-0ced-4bcc-853e-cf2dff32fffb · outbound

This paper cites Kresch and Y.

On the standard models of del Pezzo fibrations of degree four Kresch and Y

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.314238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.023604Z digest=sha256:5bf050eab4b563aac98389cc7ba58c63656ce2ae356f9ea83f91755479e52d8e

Observation 755d4142-f7fa-44a8-9479-7f87efc55e89 · outbound

This paper cites Kresch and Y.

On the standard models of del Pezzo fibrations of degree four Kresch and Y

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.299404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.027911Z digest=sha256:0a8a0f3406c332f4d094f1846b210780918f8f48ebab7c292628089acfc38ace

Observation 42f0f523-3b9b-4aa7-a690-0db3ab1cf3bf · outbound

This paper cites Liu, Algebraic Geometry and Arithmetic Curves, Oxford graduate texts in mathematics, Oxford University Press, 2002.

On the standard models of del Pezzo fibrations of degree four Liu, Algebraic Geometry and Arithmetic Curves, Oxford graduate texts in mathematics, Oxford University Press, 2002

Reference 24

Resolution
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raw_fallback, observed 2026-08-11T12:01:09.285599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.032284Z digest=sha256:ea1fb0ebc48d5b3d946f390776deb97921fbfd05b5ef90f5fea51a7d3dbba395

Observation 8f9e9cd8-e6e4-4bfa-8d76-b0ad63b4daf2 · outbound

This paper cites an unresolved cited work.

On the standard models of del Pezzo fibrations of degree four Unresolved cited work

Reference 25

Resolution
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raw_fallback, observed 2026-08-11T12:01:09.271411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.036779Z digest=sha256:eba4df389a72fcd9f43e13874a354d82512cc4ba8dedee05d60950e34300182d

Observation 5157c44f-23f3-4b59-b31c-d317c695691b · outbound

This paper cites Lehmann and S.

On the standard models of del Pezzo fibrations of degree four Lehmann and S

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.257087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.041194Z digest=sha256:f3349a7a902acb491b441d1ddbd2a85c1da11dcc1e1f8893627d14a75b4e592c

Observation 0bbe8a53-0dab-4050-9551-5d890ce0da0b · outbound

This paper cites Lehmann and S.

On the standard models of del Pezzo fibrations of degree four Lehmann and S

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.243064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.045579Z digest=sha256:77a18e64e160f3f81c3666bf79ef78fd04b6463a18a53c848d5c7d3c6d66253b

Observation ba381acd-18e8-4ee1-9186-ebcff9b8b963 · outbound

This paper cites an unresolved cited work.

On the standard models of del Pezzo fibrations of degree four Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:09.229154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.049834Z digest=sha256:bbe12a1bfe0be1656e13c6c7104fa56e16d52f59aa333442aa3034f8697d36d3

Observation 4e77007f-01ba-4047-b5ce-c3aef736dd3d · outbound

This paper cites Mumford and J.

On the standard models of del Pezzo fibrations of degree four Mumford and J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.214184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.055559Z digest=sha256:9948bb58bb494b82ceff73e0d40e14f57120a869f799e06a19526939dea6b0c4

Observation 221759c3-8dab-4de8-9d17-b0f12ca8c8f0 · outbound

This paper cites an unresolved cited work.

On the standard models of del Pezzo fibrations of degree four Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:09.197991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.060300Z digest=sha256:2cf5cf2b871ad8bf8052681bc24c0c1a1c2f714ba971f982ad327f71ce8ef9fe

Observation 3f67fc19-8ec0-420f-952e-4ee5c5bc8d9b · outbound

This paper cites Mukai, An Introduction to Invariants and Moduli, Cambridge Studies in Advanced Mathmatics 81, Cambridge University Press, Cambridge, 2003.

On the standard models of del Pezzo fibrations of degree four Mukai, An Introduction to Invariants and Moduli, Cambridge Studies in Advanced Mathmatics 81, Cambridge University Press, Cambridge, 2003

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.183125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.065213Z digest=sha256:5d86fbfd176d332a385a764e24477516bb0b4af47edd68b9c6291172c7cc73e9

Observation 4c6f5e82-f3d4-48db-b39c-0e54413c8816 · outbound

This paper cites Reid, The complete intersection of two or more quadrics, University of Cambridge, 1972.

On the standard models of del Pezzo fibrations of degree four Reid, The complete intersection of two or more quadrics, University of Cambridge, 1972

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.168075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.069801Z digest=sha256:cbe18219db83ccf33534a835311ccca2bb9523e94f8c6ebf299ad5f7ed16e009

Observation 26c823fb-5d98-4c8b-a2f3-1cdc438bf486 · outbound

This paper cites Reid, Young person's guide to canonical singularities, in Algebraic Geometry Bowdoin 1985, Proc.

On the standard models of del Pezzo fibrations of degree four Reid, Young person's guide to canonical singularities, in Algebraic Geometry Bowdoin 1985, Proc

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.153605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.074196Z digest=sha256:6a0e74d1fae47ac0793ce04e1d32277209e33dbc56b75a6c9f9322529a307e89

Observation 20ec3b01-ab99-4dc7-a5ff-c99dfbb01254 · outbound

This paper cites Sasaki, Y.

On the standard models of del Pezzo fibrations of degree four Sasaki, Y

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:09.137347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.078535Z digest=sha256:68a04873e4af25ceab6eaa0ef503bb9a7734e6d8715f4fc154a5d98eb00ffa7b

Observation 97516f4b-12a1-40f4-8755-3e94362bee5e · outbound

This paper cites Notes on Grothendieck topologies, fibered categories and descent theory.

On the standard models of del Pezzo fibrations of degree four Notes on Grothendieck topologies, fibered categories and descent theory

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T12:01:09.083032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T12:01:09.083032Z digest=sha256:47701df767e78af7e2abe2ee2b166b12ffc7cfd926d95025d312461e12ef1c7d

Pith citing papers

No inbound Pith citation observations are available.