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Paper Citation Record · LEDGER

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2509.03994.

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

pith.paper-citation-record.v1
2509.03994 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:49:33.245813Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

32 of 32 outbound references displayed

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  • unresolved20
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External citation measurements

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Outbound references

Observation bb7a73ad-0130-4570-b843-0a64bf209ab9 · outbound

This paper cites Andr\' e , Sur la conjecture des p -courbures de Grothendieck-Katz et un probl\` e me de Dwork, Geometric aspects of Dwork theory (2004), pp.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Andr\' e , Sur la conjecture des p -courbures de Grothendieck-Katz et un probl\` e me de Dwork, Geometric aspects of Dwork theory (2004), pp

Reference 1

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:30.324490Z digest=sha256:8dfa842ee7e6f18e9a04b53ea8bf1cc13092b2a92fc6e1b799ee5e8aaa333fc1

Observation 722cfe8a-0e6d-438b-b2f1-4cf2dc9d3215 · outbound

This paper cites Atiyah, Topological quantum field theories, Inst.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Atiyah, Topological quantum field theories, Inst

Reference 2

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:30.412123Z digest=sha256:911a10656ab4134299a1b77b2b8d52cca0fff70f1ebd211a123e393497e6785f

Observation d88a5e3f-a046-417b-bee2-74e756699c07 · outbound

This paper cites Beilinson, V.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Beilinson, V

Reference 3

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:30.482884Z digest=sha256:2fe44b8ad63c87a8af7f369f4afcb98ad9a1c0f3b1d92372551fdfb1927de7d1

Observation b2fe8ab6-dd87-4e79-a785-e0b75e9c2a0a · outbound

This paper cites Beukers, G.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Beukers, G

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:30.547824Z digest=sha256:59c3470463c792eebcbd9fc38b4e5a09bd58dfafdceac3dbf2f913c1b6e9df8d

Observation 429e8993-25ab-4122-9623-8b363b9b448b · outbound

This paper cites Bezrukavnikov, R.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Bezrukavnikov, R

Reference 5

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source=arxiv_source observed=2026-08-05T10:49:30.683628Z digest=sha256:036c389854d12cc1782098345961d386611d299302da0707a81cc8ce27bae5dd

Observation c859550c-2dc3-412c-adaa-8c4d46686066 · outbound

This paper cites Dumitrescu, M.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Dumitrescu, M

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:30.807352Z digest=sha256:af20ee3e1a0a22400055c8df65d67c366c6af2826c4dfafaa4e607cfb6ee1579

Observation 28cf6a2f-d3b4-4a58-9bc4-ae5241f4aa73 · outbound

This paper cites Dumitrescu, M.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Dumitrescu, M

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:30.933148Z digest=sha256:0d92825776c0eaf0ee37b5bb49123e098806bfcec7349a2c0ed476969c81e242

Observation 7da9ec62-a039-4954-a699-d4115af38323 · outbound

This paper cites Hoshi, A note on dormant opers of rank p-1 in characteristic p , Nagoya Math.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Hoshi, A note on dormant opers of rank p-1 in characteristic p , Nagoya Math

Reference 8

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:31.000593Z digest=sha256:e9a83f805b94bb3bc596a330d60c33d2b36b83ff4789b59cdfc22afa08686fe0

Observation 47d5156c-7686-4029-98c0-46ccd6f0b439 · outbound

This paper cites Ihara, Schwarzian equations, Jour.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Ihara, Schwarzian equations, Jour

Reference 9

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raw_fallback, observed 2026-08-05T10:49:34.755685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:31.090944Z digest=sha256:891e3ade9cf2ae7e2fb15135598c1b5d5f1afc07732605370988a8b30e3d3b4e

Observation 413bf9b2-2e1d-4780-9e3c-86d8d8ad8be4 · outbound

This paper cites Joshi, C.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Joshi, C

Reference 10

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source=arxiv_source observed=2026-08-05T10:49:31.180796Z digest=sha256:aeba52a57e38d159dcc8b843e5d92ef1135e7eb5a3403ae5de69c2123c126325

Observation d72ebf0e-9474-43b0-977f-93f462c398cb · outbound

This paper cites Joshi, S.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Joshi, S

Reference 11

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source=arxiv_source observed=2026-08-05T10:49:31.245535Z digest=sha256:0af715a706b85e8c3245874fb70a8ba3850c8110ae44f9bdc7eedcd51ca59f2c

Observation 6cf6256a-990d-414e-ab16-b9bdd5c01602 · outbound

This paper cites an unresolved cited work.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:31.316747Z digest=sha256:a77ee47ec3f1dd0429038a5a5ee4eeaafb1f0ae0fefff9685cd23cc056f4cea8

Observation 3c5d619d-83cf-40cd-8423-8ec9b06d8407 · outbound

This paper cites an unresolved cited work.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:31.418380Z digest=sha256:fcb68c8173a357861a55835c306610481e82d9b3dbfb730cd2a1a2f522858770

Observation d88d0ce3-a15b-4b3b-9fc2-f6165052c01c · outbound

This paper cites an unresolved cited work.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Unresolved cited work

Reference 14

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source=arxiv_source observed=2026-08-05T10:49:31.519233Z digest=sha256:3c8b74997ea0bb05df01b713defb4531395f99b742215067ed20f7d4d8ce3209

Observation 659c9bc5-431a-4376-b3da-1a3d1b38156d · outbound

This paper cites an unresolved cited work.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:31.625298Z digest=sha256:d2d5e6986bdb763d9c487fde451b43e34e8b0e0952089b21ca4edcea99c46b8a

Observation 617def0a-b157-4f84-a696-5490bc685b0a · outbound

This paper cites Kock, Frobenius algebras and 2D topological quantum field theories London Math.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Kock, Frobenius algebras and 2D topological quantum field theories London Math

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:31.727995Z digest=sha256:5909ba3b0dd1ed1760c556d0b244eefab63ee2fb46d86a35ec84206510fbc39f

Observation d2ad8052-6005-4fb5-b4cd-e158edd84867 · outbound

This paper cites Laszlo, C.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Laszlo, C

Reference 17

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no resolver link, observed 2026-08-05T10:49:31.824429Z

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source=arxiv_source observed=2026-08-05T10:49:31.824429Z digest=sha256:b0cf78d8fe6ebfebd1523109706a83d19d25b2d3851d36ef6f483a1d207c8f01

Observation abb4415a-749a-408d-a778-6f42243fa5e1 · outbound

This paper cites an unresolved cited work.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Unresolved cited work

Reference 18

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no resolver link, observed 2026-08-05T10:49:31.930563Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:31.930563Z digest=sha256:636de615162aa9c5c7c19491e7ca0cc127f240788bb9da8cfdf5f41f9e71f5b5

Observation 519a3231-f67d-4817-93a1-a3a9e2dc050b · outbound

This paper cites Mochizuki, A theory of ordinary p -adic curves, Publ.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Mochizuki, A theory of ordinary p -adic curves, Publ

Reference 19

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raw_fallback, observed 2026-08-05T10:49:33.938233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:32.040571Z digest=sha256:ee64e4382de8b4047d28a485892f8571e61a239e46facf322bd234d21733e5fb

Observation 98451b1b-2e0b-4174-b518-cca22c1372ad · outbound

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

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Mochizuki, Foundations of p -adic Teichm\" u ller theory , AMS/IP Stud

Reference 20

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.145513Z digest=sha256:4772765590831dbcc81d43fc1fa1aaa00acd44373b727e7faaf9a46873ca7aa7

Observation 57f1f995-64b9-43a7-94da-6f6bf49e5d90 · 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.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ 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 21

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raw_fallback, observed 2026-08-05T10:49:33.789507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:32.248511Z digest=sha256:cc8967fb60868dcac3cfc8fbb7bbebde3b0d33b67091708f443edaebba4ee187

Observation 838c56a4-a805-41ed-951c-b8e3df260e2c · outbound

This paper cites Osserman, Logarithmic connections with vanishing p -curvature, J.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Osserman, Logarithmic connections with vanishing p -curvature, J

Reference 22

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raw_fallback, observed 2026-08-05T10:49:33.653496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:32.350867Z digest=sha256:84f8f9d52b25da073a1e21523e82586201b9f27ed52c29fc7dcaa30bf94af14c

Observation 334ccb86-c977-41de-8024-68f126b54876 · outbound

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

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Wakabayashi, An explicit formula for the generic number of dormant indigenous bundles, Publ

Reference 23

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.461246Z digest=sha256:edaeaaa0a1563fe2b91180dbc8590b5f8318d18a7173204d421d70ce2cdef359

Observation bcebc4b0-7f94-48b2-89d2-a4df1e9fee02 · outbound

This paper cites Wakabayashi, Duality for dormant opers, J.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Wakabayashi, Duality for dormant opers, J

Reference 24

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no resolver link, observed 2026-08-05T10:49:32.563261Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.563261Z digest=sha256:5b97758a2bc1d9c64e9e6a8a0f1ca3fe92463a650f645461e606f248cdc399a7

Observation 6af5aa03-6206-464f-8fd0-a93cf6bfc766 · outbound

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

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Wakabayashi, Spin networks, Ehrhart quasi-polynomials, and combinatorics of dormant indigenous bundles, Kyoto J

Reference 25

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no resolver link, observed 2026-08-05T10:49:32.673239Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.673239Z digest=sha256:bdddb825b93a2a01c8a1513ec907a4c007079fcb4fa270880b8ad1bca396d2be

Observation c18d5765-7455-45a2-9d4f-2b1a0e4dc21f · outbound

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

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Wakabayashi, A theory of dormant opers on pointed stable curves , Ast\' e risque 432 , Soc

Reference 26

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no resolver link, observed 2026-08-05T10:49:32.750918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.750918Z digest=sha256:401cd11d145609a978c13e298c7f177215f3dbf8367f288546084bdf9ac2a860

Observation 745a0a7c-92b3-4aaa-ae0b-c4c4576c190c · outbound

This paper cites Topological quantum field theory for dormant opers.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Topological quantum field theory for dormant opers

Reference 27

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no resolver link, observed 2026-08-05T10:49:32.808928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.808928Z digest=sha256:0b8550aa0b32ca90fbce382b7530086c5673f80a7e47a1ab6215b8d1f6d06a14

Observation 565c6a07-37f3-4fce-a86f-1ed13340c18b · outbound

This paper cites Wakabayashi, Cyclic \' e tale coverings of generic curves and ordinariness of dormant opers, J.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Wakabayashi, Cyclic \' e tale coverings of generic curves and ordinariness of dormant opers, J

Reference 28

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raw_fallback, observed 2026-08-05T10:49:33.476627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T10:49:32.897408Z digest=sha256:3137032ffb2dbe336d2bec64ab0b68d5a3233192e5c6b7dc4f038a5574164b75

Observation 4369890c-28c1-4c96-b52f-5c4c52ef67ef · outbound

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

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Wakabayashi, A combinatorial description of the dormant Miura transformation, Bull

Reference 29

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no resolver link, observed 2026-08-05T10:49:32.983207Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.983207Z digest=sha256:b0ce32ecd18fd15326307dd25505a2b0e4da74c5ef4d3501f765f119a7577a4b

Observation 058e2141-0491-45ea-90ae-8f7ec7c66dae · outbound

This paper cites Wakabayashi, Inseparable Gauss maps and dormant opers, Math.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Wakabayashi, Inseparable Gauss maps and dormant opers, Math

Reference 30

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no resolver link, observed 2026-08-05T10:49:33.070515Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:33.070515Z digest=sha256:a39b592fe67b6fe8876798158d57d552328677516d11e3b6b2dc3ad36fbb89c0

Observation ae6c24ef-552f-44c3-bafb-55dc66b18792 · outbound

This paper cites Wakabayashi, The generic \' e taleness of the moduli space of dormant _ 2 -opers, J.

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Wakabayashi, The generic \' e taleness of the moduli space of dormant _ 2 -opers, J

Reference 31

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no resolver link, observed 2026-08-05T10:49:33.150603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:33.150603Z digest=sha256:fc77fc58215f2deb6d42f64d907a23bf8bb877e1a94985e4c3e06b1440371364

Observation 4b8575b4-d96f-42d8-896e-27d3ab770bbf · outbound

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

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Arithmetic liftings and 2d TQFT for dormant opers of higher level

Reference 32

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source=arxiv_source observed=2026-08-05T10:49:33.245813Z digest=sha256:d47219e452c4ea6d32088fae6c0778163eb904e7066cc2a5e64011ba2585eda4

Pith citing papers

No inbound Pith citation observations are available.