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Paper Citation Record · LEDGER

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

As of 7 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 2026-08-06T06:34:29.942622+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

32 of 32 outbound references displayed

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  • unresolved20
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External citation measurements

No source-named external measurement is stored.

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:30.324490Z digest=sha256:27665660132c3dfd5e6b1320906a0c627cc3b955f10d126be4bc2d2244e48b91

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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raw_fallback, observed 2026-08-05T10:49:35.666052Z

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=arxiv_source observed=2026-08-05T10:49:30.412123Z digest=sha256:ebba30d2a6f58ce842d3fe1dda12aa30ce874a3f3b96a534c2f7280b2f8a1c60

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

source=arxiv_source observed=2026-08-05T10:49:30.482884Z digest=sha256:9308c81a8a8090f333a949a78f1616a000e2df9e7201a241bcf1754d4792190a

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

source=arxiv_source observed=2026-08-05T10:49:30.547824Z digest=sha256:31cad63f17a8f4c08a5143b76f89abc702ff9b64bab76b1b2d26e0ac1e2f4a1d

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=sha256:8248a55a27c3fe20d8b51718d1fd527b626aa7127f156925c77eab260abfc033

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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raw_fallback, observed 2026-08-05T10:49:35.206968Z

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=arxiv_source observed=2026-08-05T10:49:30.807352Z digest=sha256:a3e09e6c0fc9862a7f90e75eb3ba3272511b40a8129e305fc2f787f58fdf4bbf

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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raw_fallback, observed 2026-08-05T10:49:35.076996Z

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=arxiv_source observed=2026-08-05T10:49:30.933148Z digest=sha256:7a6b68359138ad1ec89cc86b454f7ebe5782f558c99a683ad74f3fc04dfa8c13

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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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=arxiv_source observed=2026-08-05T10:49:31.000593Z digest=sha256:18cf427c42b4e563e4949369df0096fab6c02eea6f655a0873c660203424e32e

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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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=arxiv_source observed=2026-08-05T10:49:31.090944Z digest=sha256:3647187b834a36aca1f68359983f2de673dfabf42c17cd921a597d43318f4aed

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=sha256:6438168c04e38354bc8aa548dda3650e7a79c9b1d9867118f4e732395ce73986

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=sha256:43dd99eaef9d2b3b93d0b7b9535f22278ee071e963bb6c71d8508a03bb3e25c3

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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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=arxiv_source observed=2026-08-05T10:49:31.316747Z digest=sha256:346299fc2fa19a436a0afbbf9b8e9fee9a8fc95dc330cd07b52d695bf3b2e9d0

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

source=arxiv_source observed=2026-08-05T10:49:31.418380Z digest=sha256:cefe5b65f2a44dd18b362f274f60f007c564fdb4db8f1d2f8d58c79b5f2cf629

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=sha256:77bb033bbaa30311d81f38071018c4fd04bf8aa2da4d7ecb640406739ddfb5ee

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

source=arxiv_source observed=2026-08-05T10:49:31.625298Z digest=sha256:c88988f2179c69f62277b8c8ebaa1d8a997bbd290b9aec2f5a96c12ed07d4a7f

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

source=arxiv_source observed=2026-08-05T10:49:31.727995Z digest=sha256:a37fe0d579e7eb16a0f4993f89d792e514388c438cf99225cda2fbf9bce35eab

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=sha256:0a526adc46dc8396972fea442cb4bc608ffa8f990a02cf0801451fcb0be0d13f

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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source=arxiv_source observed=2026-08-05T10:49:31.930563Z digest=sha256:380b9ed39874b310b9dd1051d74d8891bda152e1dc0a52153b42de77a0c71fdd

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

source=arxiv_source observed=2026-08-05T10:49:32.040571Z digest=sha256:d5dfb922fa36f43d495641e855d58b03caf1bf13197b6524a0e569f2a120b2f5

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:e81bba473ef70f74d0413270c96ea95814deeaead67689a8754f3532feefe67a

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

source=arxiv_source observed=2026-08-05T10:49:32.248511Z digest=sha256:4a7dda448478208ad1aa9dc00643c6bf92380d28b68c1e25f3c1075ec557db84

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

source=arxiv_source observed=2026-08-05T10:49:32.350867Z digest=sha256:db3372d15251873be094eef1113cd444476ff43f821ef273df178a3f00a173bb

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:cb75d855c945e8bf639421a6b8136fe6d601d2e1eba59dcb17f15a416e6895eb

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=sha256:8bb163d0d0fc3d5ee3da3634868b9cd1bb7422aff6d451b7e39d174eff0048b4

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.673239Z digest=sha256:2e6eabc9b97021ff1f04a45c4744bfb9cb3fa02c9730a0602fe2c47635c5ed2a

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:e471e6c61bd27b315a79228f2d875f5089d92b44d90ea1b170c470cc8de18dd0

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

Resolution
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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=sha256:485330aacea68591ea51ab6bcd6e52420041da0e273b514292ccd21d8e077494

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

Resolution
verified fuzzy
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 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-08-05T10:49:32.897408Z digest=sha256:942fdf2d888ba37339fb138b01e4e48a2bf5be2961ddd81418ccf3c1b508302b

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:32.983207Z digest=sha256:b67d1561b3913fbe7396eb599cd5d9826f3232a60548c055b15ddfc662eb8e62

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:33.070515Z digest=sha256:0ecfb25407bcd8a67e645e5a3063b849a4a6bf6db7c8b6150c21b543854bc48e

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:33.150603Z digest=sha256:2b4c79be3142b99739a092b2964b640cade4ae36e62de3bc2c2330e2fcaccfd3

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:49:33.245813Z digest=sha256:29b8a067a818079b01e43dfa670f2205ac3943e1f474e3cf12077b1c2d20885b

Pith citing papers

No inbound Pith citation observations are available.