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Paper Citation Record · LEDGER

On the standard models of del Pezzo fibrations of degree four

As of 12 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 2026-08-12T06:34:41.77262+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

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

source=arxiv_source observed=2026-08-11T12:01:08.922074Z digest=sha256:34207964edd04f94dfb69decf4d487a3f0157ae73dee625cfd5e0a5aca0a0dfa

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

source=arxiv_source observed=2026-08-11T12:01:08.928069Z digest=sha256:ff0143915b929fbaa6457ae99093bbc37f69ec493d03ed1a6149a938b12be6a0

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

source=arxiv_source observed=2026-08-11T12:01:08.933428Z digest=sha256:c0386ac90e84a3dcf50c6b2b598bad617f7bfbe1f271bf77972ac2737fd5412c

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

source=arxiv_source observed=2026-08-11T12:01:08.938175Z digest=sha256:085ac5ffdcdbe5170ef3602319d1a267957d7026d8038f2b8b64477c07651153

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

source=arxiv_source observed=2026-08-11T12:01:08.943470Z digest=sha256:f82ced35d1787b898ce54e55c73a62c6986c05debc59733fc8aa83fd0affa8ba

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

source=arxiv_source observed=2026-08-11T12:01:08.948294Z digest=sha256:dd6c78e8d0e87aa0c1fa21867ecbe288deca41b52f8bba31112789d9f38b914c

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

source=arxiv_source observed=2026-08-11T12:01:08.953401Z digest=sha256:b3c523503af3a37f9d4af86016a254b539d16dfdd68f46a7a94218709a2ad4d2

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

source=arxiv_source observed=2026-08-11T12:01:08.957877Z digest=sha256:d1cde9ed368bdd5faf7de3cfdc6e9f5f859beca136190ab9aa8905c6d978c4a7

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

source=arxiv_source observed=2026-08-11T12:01:08.962709Z digest=sha256:8664065a2d90d140265f9b74c20c69ee54c499509cfb553d681a247409d4673e

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

source=arxiv_source observed=2026-08-11T12:01:08.967244Z digest=sha256:90d84bc799162cfd609cb1b58a32c1c366edf07ada86c3086c4d3e3789ad4926

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

source=arxiv_source observed=2026-08-11T12:01:08.971778Z digest=sha256:bcfc61875c1c413964cc36f2f70b5dd6439b261e948f03797c93a8d1d86da59d

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

source=arxiv_source observed=2026-08-11T12:01:08.976395Z digest=sha256:b603f0a9151e3db6ce527aa75b84bdaf3c3b2bde96ecc2d1c9805eb10757d106

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

source=arxiv_source observed=2026-08-11T12:01:08.981329Z digest=sha256:0404675627c3243d520d2e6a3da55265265d1eb7635002c25dfaf6b94422c2e7

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

source=arxiv_source observed=2026-08-11T12:01:08.985843Z digest=sha256:22482cd271bfc8d5a6d4dd1d03c6d4d894a4338b77dc17cb0956a3f966ea1631

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

source=arxiv_source observed=2026-08-11T12:01:08.990559Z digest=sha256:e048f12a45772aed4e09d5e0260b00b67c88803ed60356c8d6a2692b401db7ad

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

source=arxiv_source observed=2026-08-11T12:01:08.994933Z digest=sha256:d13b4f2de3b54ae44270d0eb730866bdd908e953710e038ebda1363c953b4f9f

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

source=arxiv_source observed=2026-08-11T12:01:08.999274Z digest=sha256:29b5da7a34959610d15620ae3a9bc7260c73e8f0de78b7c3225e47f360ac0555

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

source=arxiv_source observed=2026-08-11T12:01:09.003957Z digest=sha256:2c71cd587a9e36b5a904b774c7081603231626a33c59c1ad704f149cb2a91a75

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

source=arxiv_source observed=2026-08-11T12:01:09.009496Z digest=sha256:ac4defdc078ece24650eda445feae0a250321509f763d2ff895b4431ceac84a3

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

source=arxiv_source observed=2026-08-11T12:01:09.013822Z digest=sha256:b1127ca61b6f0f9892fd33727518a16529859a0c2a045b06a3a33cfa3d5efa7e

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

source=arxiv_source observed=2026-08-11T12:01:09.018410Z digest=sha256:ec405c4fb10aebfe81bc89cbff303e827a72180d80f63452f159b5a454b9ae92

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

source=arxiv_source observed=2026-08-11T12:01:09.023604Z digest=sha256:256799403c19230e47b097c1a78f108a010cfe0190c9f1f36753e41baa01aada

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

source=arxiv_source observed=2026-08-11T12:01:09.027911Z digest=sha256:8b4e51117b51ca3fc0268faf1245f258b172f3946a9316d3b8e83574e5c5c330

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

source=arxiv_source observed=2026-08-11T12:01:09.032284Z digest=sha256:b27327c7e3ff1ae9ba1f34992e298ea3606ea430d22327d50b388ee19884d0dd

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

source=arxiv_source observed=2026-08-11T12:01:09.036779Z digest=sha256:6699c8a72e2916119360f08ad7524093b144078170676d02d7c5a607f3caee76

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

source=arxiv_source observed=2026-08-11T12:01:09.041194Z digest=sha256:d5b9ed1b585bc8d66480ff655e13bd0cc4b65db038f510d103a972d73617c024

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

source=arxiv_source observed=2026-08-11T12:01:09.045579Z digest=sha256:8277f4cf17d16ecb5a38f764c70a08b2b8c523fe9f90d77a62c7d0265c30460a

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

source=arxiv_source observed=2026-08-11T12:01:09.049834Z digest=sha256:dce9f51202ff6226c1899f098408efe93b67c9d0e951b6a9420628424c77793b

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

source=arxiv_source observed=2026-08-11T12:01:09.055559Z digest=sha256:d5c0862c8f306eeabcf355796bc3b4463bb9ddadf57b72530046a2f25be60948

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

source=arxiv_source observed=2026-08-11T12:01:09.060300Z digest=sha256:0cc81c789f5eb3b845d5552c37eb3b4f63fc452b15a746b987ff13966c79f399

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

source=arxiv_source observed=2026-08-11T12:01:09.065213Z digest=sha256:9600e90c70567af6a4a0a58c37af06f732364c540e1643ce5f8b72937d8c276a

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

source=arxiv_source observed=2026-08-11T12:01:09.069801Z digest=sha256:d607f75348903670dc5a7e511ed3347cdd7ce7334125fc8d3effa28136c8b4bd

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

source=arxiv_source observed=2026-08-11T12:01:09.074196Z digest=sha256:38746499fe5bc8a978298614f3262e88f8f96a23472e4baed25178bbf6d0f141

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

source=arxiv_source observed=2026-08-11T12:01:09.078535Z digest=sha256:7527744767d21773c5a5952fdd2b6e1a61e031025f034c6fe9e09dcfa0ed11e6

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.