Paper Citation Record · LEDGER

Explicit computation of the generic degree of the generalized Verschiebung in rank two

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2509.03993.

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

pith.paper-citation-record.v1
2509.03993 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:37:28.435840Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-25T19:17:07.369724Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T21:00:09.176499Z

Reference resolution

42 of 42 outbound references displayed

verified exact1
verified fuzzy27
unresolved14
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External citation measurements

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Outbound references

Observation 7b62a0e3-6776-455e-a6ea-66fbc595965a · outbound

This paper cites Berthelot, -modules arithm\' e tiques I.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Berthelot, -modules arithm\' e tiques I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:32.014990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 35489457-ee6b-4211-8e4f-5d5125bc0eaa · outbound

This paper cites Brenner, A.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Brenner, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:32.004987Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 10a8d971-655f-476e-9f5d-09ba0063654c · outbound

This paper cites Castorena, F.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Castorena, F

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.995434Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 88cfe3be-d23f-45ac-ae88-a889e7f56b87 · outbound

This paper cites Deligne, D.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Deligne, D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.985811Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 954e1d14-b0d7-4294-ab75-59fff6f04372 · outbound

This paper cites an unresolved cited work.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:37:31.976524Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cdbee2e9-45e8-48c4-ab28-3c22bdd598ca · outbound

This paper cites Ducrohet, V.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Ducrohet, V

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.967060Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e33b723f-8e43-404a-a606-0e58cf428288 · outbound

This paper cites Gieseker, Stable curves and the Frobenius morphism, Ann.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Gieseker, Stable curves and the Frobenius morphism, Ann

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.955847Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 140163c6-fd7c-43a9-ba11-3cc4491bf79e · outbound

This paper cites an unresolved cited work.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:37:31.945385Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b9cd63f-6a84-43e9-9933-800f44995055 · outbound

This paper cites Hartshorne, Algebraic geometry , Grad.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Hartshorne, Algebraic geometry , Grad

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.934858Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e8cedfaf-4a8f-4d28-beda-c7bf68cb3117 · outbound

This paper cites Heinloth, Lectures on the moduli stack of vector bundles on a curve, Trends Math.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Heinloth, Lectures on the moduli stack of vector bundles on a curve, Trends Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.924802Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b9492310-8f10-4d81-b850-dc8956d53842 · outbound

This paper cites Hoshi, Y.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Hoshi, Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.914911Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b49f7f9e-c609-4a38-8856-5bab1768b379 · outbound

This paper cites Joshi, The degree of the dormant operatic locus, Int.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Joshi, The degree of the dormant operatic locus, Int

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.904558Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bb59e603-ab71-48c1-b719-8eeb414ac33c · outbound

This paper cites Joshi, C.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Joshi, C

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:26.734748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5d01dfb-3dbc-45d4-8910-e21540cf88a3 · outbound

This paper cites Joshi, S.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Joshi, S

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:26.779348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0270612-ee80-4377-beb7-da2b5b810292 · outbound

This paper cites Joshi, E.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Joshi, E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.882073Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7020959d-3942-4c46-b7dc-cb3d0f4e78cb · outbound

This paper cites Lange, C.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Lange, C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.872871Z

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Observation cc228864-c4de-4b58-a66b-439b111869af · outbound

This paper cites Laszlo, A non-trivial family of bundles fixed by the square of Frobenius, C.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Laszlo, A non-trivial family of bundles fixed by the square of Frobenius, C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.862320Z

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Observation e88a3872-f398-4aa3-9957-b15fe4ab6ede · outbound

This paper cites Laszlo, C.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Laszlo, C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.827089Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a5cefa63-84e9-42dc-8681-c9a14c9ecf68 · outbound

This paper cites Laszlo, C.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Laszlo, C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.546774Z

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Observation 88969ee6-6c34-45a4-8e32-537036744f91 · outbound

This paper cites Le Stum, A.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Le Stum, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.305225Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation beb5cb45-8c3c-4bcf-8af2-67bd6f8ac247 · outbound

This paper cites Li, On maximally Frobenius destabilized vector bundles, Bull.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Li, On maximally Frobenius destabilized vector bundles, Bull

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:31.056823Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 47954698-f04c-450f-af5f-fc4a8d54e49b · outbound

This paper cites Li, Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3 , I, Trans.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Li, Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3 , I, Trans

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:30.791686Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 89806858-3b74-4d90-9012-1e68f1d9e205 · outbound

This paper cites Li, Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3 , II, Math.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Li, Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3 , II, Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:30.480081Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d55dd7b4-6b4c-4acd-9e3c-7c8d3f9609c4 · outbound

This paper cites Li, On Frobenius stratification of moduli spaces of rank 4 vector bundles, Manuscripta Math.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Li, On Frobenius stratification of moduli spaces of rank 4 vector bundles, Manuscripta Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:30.219005Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a137fd40-d9f2-4755-9d40-7f4cc9ff2a83 · outbound

This paper cites an unresolved cited work.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:27.478668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b5973d9-8731-4436-b5e6-32ddf05e0cc0 · outbound

This paper cites an unresolved cited work.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:37:30.081253Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0d5db71d-ee18-4ee7-9d97-2f082ba32d39 · outbound

This paper cites Mochizuki, Foundations of p -adic Teichm\" u ller theory , AMS/IP Stud.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Mochizuki, Foundations of p -adic Teichm\" u ller theory , AMS/IP Stud

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:27.539972Z

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Unavailable: canonical work link unavailable.

Observation 9552b9ff-4fde-4b7a-8e73-f5b6add66611 · outbound

This paper cites Montagnon, G\' e n\' e ralisation de la th\' e orie arithm\' e tique des D-modules \` a la g\' e om\' e trie logarithmique, Ph.D.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Montagnon, G\' e n\' e ralisation de la th\' e orie arithm\' e tique des D-modules \` a la g\' e om\' e trie logarithmique, Ph.D

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:27.597041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d408aa29-ce83-4634-9ffd-c48331ec9e26 · outbound

This paper cites Neumann, U.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Neumann, U

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:29.871963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a0c8f1a2-6fc6-46b6-ac8c-cd938e8ea8d1 · outbound

This paper cites Osserman, The generalized Verschiebung map for curves of genus 2 , Math.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Osserman, The generalized Verschiebung map for curves of genus 2 , Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:29.708068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7b6caa0f-7924-49e4-9e2f-3f991bd765c1 · outbound

This paper cites Osserman, Frobenius-unstable bundles and p -curvature, Trans.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Osserman, Frobenius-unstable bundles and p -curvature, Trans

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:29.559895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0759c318-b0ba-49b3-82b7-2272f3d70113 · outbound

This paper cites an unresolved cited work.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:37:29.393611Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e5fabc61-a3be-4650-9799-42e8c8e19cda · outbound

This paper cites Yang, The fixed point locus of the Verschiebung on _X (2, 0) for genus- 2 curves X in characteristic 2 , Canad.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Yang, The fixed point locus of the Verschiebung on _X (2, 0) for genus- 2 curves X in characteristic 2 , Canad

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:29.223144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation feb9ee37-e732-4beb-970c-6c2f575a2d6f · outbound

This paper cites Wakabayashi, An explicit formula for the generic number of dormant indigenous bundles, Publ.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Wakabayashi, An explicit formula for the generic number of dormant indigenous bundles, Publ

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:27.949069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4f278c2-29c8-4aa4-a84a-b0825213d91f · outbound

This paper cites Wakabayashi, Spin networks, Ehrhart quasi-polynomials, and combinatorics of dormant indigenous bundles, Kyoto J.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Wakabayashi, Spin networks, Ehrhart quasi-polynomials, and combinatorics of dormant indigenous bundles, Kyoto J

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:28.005840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea39056f-0291-44b7-8a3c-76be827ab7ef · outbound

This paper cites Wakabayashi, A theory of dormant opers on pointed stable curves , Ast\' e risque 432 , Soc.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Wakabayashi, A theory of dormant opers on pointed stable curves , Ast\' e risque 432 , Soc

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:28.039145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecb7e48e-5824-4c5b-a476-0185af7eb796 · outbound

This paper cites Differential modules and dormant opers of higher level.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Differential modules and dormant opers of higher level

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:37:28.574517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 01aba95c-f9c2-4d9d-bffb-06ef29542b01 · outbound

This paper cites Wakabayashi, A combinatorial description of the dormant Miura transformation, Bull.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Wakabayashi, A combinatorial description of the dormant Miura transformation, Bull

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:29.031350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f00435a0-473c-4f6d-b00e-bc315785c2a1 · outbound

This paper cites Wakabayashi, Frobenius pull-back of parabolic bundles and dormant opers, Proc.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Wakabayashi, Frobenius pull-back of parabolic bundles and dormant opers, Proc

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:28.213400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8f0ac3b-8a7c-40f4-80b4-61247d935c92 · outbound

This paper cites Arithmetic liftings and 2d TQFT for dormant opers of higher level.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Arithmetic liftings and 2d TQFT for dormant opers of higher level

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-05T10:37:28.298901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6a7b5fb-93be-4cd0-b709-28a657fed886 · outbound

This paper cites Wakabayashi, The irreducibility of the moduli space of pointed stable curves with dormant PGL _2^ ( ) -oper, in preparation.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Wakabayashi, The irreducibility of the moduli space of pointed stable curves with dormant PGL _2^ ( ) -oper, in preparation

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:28.888012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 64f9371a-eb50-4693-b8e3-0088615354f7 · outbound

This paper cites Zhao, Maximally Frobenius-destabilized vector bundles over smooth algebraic curves, Internat.

Explicit computation of the generic degree of the generalized Verschiebung in rank two Zhao, Maximally Frobenius-destabilized vector bundles over smooth algebraic curves, Internat

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:37:28.750136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 29e5c2b7-6b91-4c23-9002-d77372d6c007 · inbound

Polynomiality of the Generalized Verschiebung Degree cites this paper.

Polynomiality of the Generalized Verschiebung Degree Explicit computation of the generic degree of the generalized Verschiebung in rank two

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-04T21:00:09.178139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.