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Paper Citation Record · LEDGER

On the standard models of del Pezzo fibrations of degree four

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.922074Z digest=sha256:a2768fc1dbe36371c939e302400a23dfe19eaf41a09e4053c5c90d84eef2f33e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.928069Z digest=sha256:b4bc377d9bcee2cc845d54db6bb9ecd21a9ef3ac6b502a8e593decaa631061e3

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
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.933428Z digest=sha256:e9f15b43c3df99f9248de4a5d1af9d3f87ee9067463ba3f174f30eefbdb042d4

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
verified fuzzy
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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.938175Z digest=sha256:2656431a3da756d6198d6fe46ec8dea41941b847cb342e6574a63ad4e4f48479

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.943470Z digest=sha256:7f45f58d29285a8e2866953bd87f82ff8a611b8ad99264d0d44cf166d39ece6b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.948294Z digest=sha256:cfbc10d15636769bf43d56fa947312e32c14cbcd6c36dd84471485dae31cdc71

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.953401Z digest=sha256:d09aedb4d32e32b1bdf7fb8a5fa9a13619e11a91910a2a8ea3d7f91ef9c7223a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.957877Z digest=sha256:b966537dceed6285a9af21522a574c6ce5da28e1aea066ba52f95baef2bf84c7

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.962709Z digest=sha256:f4e90fe56abedae25744637dadc0d56ed24ecfb1afd16e9121ed9f9afbef81d7

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.967244Z digest=sha256:612cacda7955fd52cec6cb487a45dd0a41abcb388887654b71219bf1c3d68631

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.971778Z digest=sha256:38b981b3673bd4ceb6ec2cff2cb00e5921989f9e5560108ab73908fe49aa019d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.976395Z digest=sha256:bbf232e8dd294c6471b3857f1531c2d948aed86cccaec0ebf3ade96a947e40eb

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.981329Z digest=sha256:9b6ee7a57d849b6f32ac655f9719b22ee517a3814ba2d013bd53009b8cbca831

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.985843Z digest=sha256:9557cf519a02155afac61825e47011c10165734f5ecd90cfd973942af2f0123c

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.990559Z digest=sha256:e9c2e4ca1aeec4bea01323b6e0924e6386ac83179c2c4e16eb10e13ed9740be1

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.994933Z digest=sha256:0bb619ea31e33555f2e87a80f95580b7938775286b66e7c3ae1ae699d54744d1

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:08.999274Z digest=sha256:ce603c393898b859dae2b2bebb1f9fa608a2b844c85427efc0e6858011c339a6

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.003957Z digest=sha256:cdd40c59dc52b1c4d5bd96000817097231ca568eec8da9ba8e083de6a4c7f20d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.009496Z digest=sha256:688965cebf8bfa3c81e2cfa843a75362237068a5513521ed97b862f147b650ec

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.013822Z digest=sha256:9ea2baa48c630deb83ac3e0426c531722557a8783544d816ae516eca9e501b2d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.018410Z digest=sha256:a7a7fdbbece370f5c7b4ca88c2c2acdfb1205f3d41660ec13232d70d65141f6e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.023604Z digest=sha256:214c856d0eccaa3906c7726ccb78c42eb451171eb405292d93d7a69c978dcb94

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.027911Z digest=sha256:f1b158b3ec51d2ed4519c9e986674b72be5c284b87dadd3d6ad2a0518bfde460

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
verified fuzzy
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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.032284Z digest=sha256:3ec565f7e4de7644c94ab6c8c104f0b1863da4625ef086b316e2671afbf0ae26

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
unresolved
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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.036779Z digest=sha256:b7b095d339a9a51cec65b21c7aea8c3cee7f5e5d609209594f8d4f63df2b4f58

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.041194Z digest=sha256:1e5a1de1f298652a91fe20eaf8ab2df939f131365d4d0e4753484a98761b6df7

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.045579Z digest=sha256:a1709cea2cb2e3872e0ebff1210b450d2c0f0be5c28b543d398c58a5da427b4c

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.049834Z digest=sha256:f65e6594374b6f8da70f16d7559bec77a6b81afd2864012292afbf2ae70450fd

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.055559Z digest=sha256:34167d171412bd236354dcc98506c7e09cd65bd1a4f7f21cd545068e8b99ef02

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.060300Z digest=sha256:340abc5fdfe0cf278c601f966882faf614184161b4a652644ff5a00dd8ac0652

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.065213Z digest=sha256:66f7a5f0a6ba5cd4f5fc82ead4702c07ff4b473cb28a5a9451d9a985f7dff7e9

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.069801Z digest=sha256:92568f80aa8f49f34dbbdb4a03d37f59a2cdf7c9a28d38ab724741ccb7db411d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.074196Z digest=sha256:18eb907be3f96fc1b8c864bf62bf55a6227554d8ebfcfa622ed5132f53db44e6

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-11T12:01:09.078535Z digest=sha256:41c134a96a2efb50b36b730cbc5ca842786cbb4ca321550944a3b4971fab1128

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=sha256:086903a1a398dc03f96f9015cdbd632dbff1b821da877112dbb707ba4265766e

Pith citing papers

No inbound Pith citation observations are available.