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Paper Citation Record · LEDGER

Polynomiality of the Generalized Verschiebung Degree

As of 14 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 2026-08-14T06:32:32.682623+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=sha256:02373b30546e456add656195c47775cdf6b49dc127f2a2a7dd4ea96610f61f6b

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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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:bd0be3aea590f7f8449c2d78a04bd4f060c25ba66f11caa0eb3a1120895ace8a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:e01bc42f5b6ae8d74aacf4ebdbccd937279dbcdbe3e321731d94f33e3833345e

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=sha256:2ac848cc654977f6983fd6901dc5ff9d3aedb0a04b043a785b0d6a0ac2002df7

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:d6358bfd635afd43de4faca847be3d43f530528ba225aafbc200ddef915ce0e5

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=sha256:419b7b48bdb10b4f84d717d464ae4654f7af17c4ad7066d5d26229af7034a5ab

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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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=sha256:74986a9dec0fcffe5561f3ed11143a09a4fba6b5e5194e1c277e3bce788321dd

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:f4bbdf49b6d306a22eb48ac32b6945b0c6f17743ff5468cb78c39026da670593

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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unresolved
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=sha256:34b464ee597d2ef211263d8f93e01d477c5269cfb80b3ffcc735e01f6c9c56bf

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

This paper cites Liu and B.

Polynomiality of the Generalized Verschiebung Degree Liu and B

Reference 10

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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:e76b4ea65b8131cbe4aafc49c1ad914e1d0e9e92773f3e8343c069b7422bb7e0

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=sha256:8ea659fac4557979703f9e8759eeb0a17f5cae24eb2133e43d23752ca4f2b8f9

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:e321dc51d6a10f29945069bf52dbaddff0eb0df5ae6e4beceb151e700999aba6

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:f90d41c8f7fb1a263b25d12eeb4d226ca2d99927cf3b5e4d90361334b72409f4

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=sha256:8748ab04d4d589c0c0ed4057835f12de6b1de2826afd81cdf39152d2d11e8eb1

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
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:7856e94c64eb32033fb677b99b55d038d9240de11ccd2181d3c047f2721878cc

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=sha256:9d46de442bd7c9560597686c13e5918cd1f19b7c76798a15f3de3b487d37a1e4

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:e34fc4cafd061963a56faed3b5daa5006c295a518bb091953b826fa27b4814f6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:e2a6940a87ef339d44f5495b91e96c37bbfb4bad0fc68a76cb1cdf9cb79cc7ac

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T19:17:07.369724Z digest=sha256:2183e3a674fdd2eb45a4c1aa4bbfcf93216e39fc95b8b4178ae15494f7ae95bd

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:cfb6d6265f3f8a7bfc680552614b96315bd25c47eda156abd61ec51f7687b88c

Pith citing papers

No inbound Pith citation observations are available.