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Paper Citation Record · LEDGER

Polynomiality of the Generalized Verschiebung Degree

As of 6 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2606.26070.

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

pith.paper-citation-record.v1
2606.26070 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

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

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

20 of 20 outbound references displayed

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  • verified fuzzy0
  • unresolved18
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb98bb99-e510-4226-927e-2006b121639c · outbound

This paper cites an unresolved cited work.

Polynomiality of the Generalized Verschiebung Degree Unresolved cited work

Reference 1

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:6432da5b206dcab70067bce0b10f45217066e9e558f88f6deb368c3273763a18

Observation a0a27612-04fc-4b91-9b3b-f49f108276ee · outbound

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

Polynomiality of the Generalized Verschiebung Degree Gieseker,Stable vector bundles and the Frobenius morphism, Ann

Reference 2

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source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:fb06fca16739180cb4018733acdc74ea9acecec13d59ae2fd0a1f8f89426dab7

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

This paper cites Explicit computation of the generic degree of the generalized Verschiebung in rank two.

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

Reference 3

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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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:2c5f731e163ab6abcbf1a19d37011e1a01e8c9a8bd5b2894322fb15cc361e0a0

Observation 8eebeccc-37b1-4706-90da-f3c5c8a87722 · outbound

This paper cites Hoshi and Y.

Polynomiality of the Generalized Verschiebung Degree Hoshi and Y

Reference 4

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source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:ac89fb128f0e63006ff0a2203d69e3a9b1f69b057a200009d9390ae8e687798b

Observation b84f3745-336f-48dc-99f9-44d912ff3fc4 · outbound

This paper cites Joshi and C.

Polynomiality of the Generalized Verschiebung Degree Joshi and C

Reference 5

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source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:644e0395bf67416dd6c065e72f29879e4e892a1f018174b184b4046f80ad0f64

Observation 29887e92-96d0-4a1b-a94d-850c6bcb0ba0 · outbound

This paper cites Joshi, S.

Polynomiality of the Generalized Verschiebung Degree Joshi, S

Reference 6

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no resolver link, observed 2026-06-25T19:17:07.369724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:1d77d6b54c9a22b3a1bf8bb6390e72b4b1a6f3eed3528821f567a372d58111e3

Observation 194740b0-5e21-4897-9541-0a66f326b2c3 · outbound

This paper cites Lange and C.

Polynomiality of the Generalized Verschiebung Degree Lange and C

Reference 7

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:6c9258881f47668357dad42f30154e57d66a76ec1acb1545fabba3869cfbfc2c

Observation a9a92bc8-f0b7-4531-a808-03f2452fa120 · outbound

This paper cites Laszlo and C.

Polynomiality of the Generalized Verschiebung Degree Laszlo and C

Reference 8

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no resolver link, observed 2026-06-25T19:17:07.369724Z

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source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:c6f63266a40288b31a303b94b4a8441911a57279ca8b5657f6c3a592956908c9

Observation a899ccd0-a862-405f-aebd-8567bec457f5 · outbound

This paper cites Laszlo and C.

Polynomiality of the Generalized Verschiebung Degree Laszlo and C

Reference 9

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no resolver link, observed 2026-06-25T19:17:07.369724Z

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source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:571a7ac0246d7a4c63b77c28a373dbc0e481435d8696eee166c13ea8a54686f3

Observation b732b2c4-42f8-48e4-a060-664cf63e6d19 · outbound

This paper cites Liu and B.

Polynomiality of the Generalized Verschiebung Degree Liu and B

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-25T19:17:07.369724Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:d7a40554f1822795264ebc0745abe5ee74a73bf89b992d594c3f0962511feff6

Observation 5b3b9525-51f5-4c09-8660-3c2a0dea517b · outbound

This paper cites Mochizuki,Foundations ofp-adic Teichm¨ uller theory, AMS/IP Studies in Advanced Mathematics, vol.

Polynomiality of the Generalized Verschiebung Degree Mochizuki,Foundations ofp-adic Teichm¨ uller theory, AMS/IP Studies in Advanced Mathematics, vol

Reference 11

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source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:4b9099d3c4065a7c6ca86c654099f135ca1f1c14444aad3f5ebf35534e945007

Observation 19798bff-5b89-4509-bbd8-97340eb4a633 · outbound

This paper cites Mochizuki,An introduction top-adic Teichm¨ uller theory, Ast´ erisque278(2002), 1–50.

Polynomiality of the Generalized Verschiebung Degree Mochizuki,An introduction top-adic Teichm¨ uller theory, Ast´ erisque278(2002), 1–50

Reference 12

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source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:e1654c91e257c51217b70f96fdb3c34ff666542e86da243f53714a708f6ff7ea

Observation c7fd6eb2-265a-4270-a883-d8d2595c7f90 · outbound

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

Polynomiality of the Generalized Verschiebung Degree Osserman,The generalized Verschiebung map for curves of genus 2, Math

Reference 13

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unresolved
no resolver link, observed 2026-06-25T19:17:07.369724Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:25308bacc8248e85a9a4eda6ba4e38ccff1bfa98c6eb4f32ce88c752849a6373

Observation f486d071-ed0b-4485-923d-19b35e8aeb43 · outbound

This paper cites Runkel and R.

Polynomiality of the Generalized Verschiebung Degree Runkel and R

Reference 14

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no resolver link, observed 2026-06-25T19:17:07.369724Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:848e2cb82ca469dab6c086af1d0b69adb6c8e8a36a732330dfa4afdf10a23f2c

Observation af09aaee-1a9b-42a1-9665-225ac5dd7e00 · outbound

This paper cites an unresolved cited work.

Polynomiality of the Generalized Verschiebung Degree Unresolved cited work

Reference 15

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unresolved
no resolver link, observed 2026-06-25T19:17:07.369724Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:b899e42d5e8db9145d6742c12d42a8b4530f033b7922e321f25dbdec0296e196

Observation b7d84ec4-6fb1-4c35-96fb-adb036e6e4f8 · outbound

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

Polynomiality of the Generalized Verschiebung Degree Wakabayashi,An explicit formula for the generic number of dormant indigenous bundles, Publ

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-25T19:17:07.369724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:9717bfc976e521ed17a935f3bbb02e3eee192859685b1f2a255f8ff3fbc2db93

Observation 8b6c96ee-6317-40f9-950c-d76a0b3e9361 · outbound

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

Polynomiality of the Generalized Verschiebung Degree Wakabayashi,Spin networks, Ehrhart quasi-polynomials, and combinatorics of dormant indigenous bundles, Kyoto J

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-25T19:17:07.369724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:680c6fe1c72eafaae48e38944a0c1240ad6f97bc58956d677a881130858802b1

Observation e47638f7-12a7-4c1f-973e-a2d66548c449 · outbound

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

Polynomiality of the Generalized Verschiebung Degree Arithmetic liftings and 2d TQFT for dormant opers of higher level

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-04T21:00:09.175211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:e4c1f62381afa158adb94ee98f0ebbed360b1367111bd75ef4be47e1cf64d67f

Observation ef8deff2-b60e-48fc-938c-138e88320891 · outbound

This paper cites Zagier,Elementary aspects of the Verlinde formula and of the Harder–Narasimhan–Atiyah–Bott formula, Israel Math.

Polynomiality of the Generalized Verschiebung Degree Zagier,Elementary aspects of the Verlinde formula and of the Harder–Narasimhan–Atiyah–Bott formula, Israel Math

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-25T19:17:07.369724Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:40df6e9d6b0a59d06601f958d33cf71dddbc5b96f0c0c91ff4f4ee4b7c0eabdb

Observation 334ec3c8-11e1-47a2-8545-a8fa1f6b8af9 · outbound

This paper cites Zhang,VerschiebungLean, GitHub repository, 2026.https://github.com/szqzs/ verschiebung-lean, commit3310bdb.

Polynomiality of the Generalized Verschiebung Degree Zhang,VerschiebungLean, GitHub repository, 2026.https://github.com/szqzs/ verschiebung-lean, commit3310bdb

Reference 20

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source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:7c9ec511dcaa0ce56a05df27db889cec647bca5767e427c717b2ec43726299b4

Pith citing papers

No inbound Pith citation observations are available.