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Paper Citation Record · LEDGER

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper

As of 7 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2509.03982.

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

pith.paper-citation-record.v1
2509.03982 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:41:27.874790Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T01:17:50.944228Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T01:17:54.715225Z

Reference resolution

58 of 58 outbound references displayed

  • verified exact2
  • verified fuzzy15
  • unresolved41
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00457fbb-010e-4a55-b69f-e587f22b7440 · 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.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper 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

Resolution
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no resolver link, observed 2026-08-05T10:41:27.714539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.714539Z digest=sha256:56888ee99dc9f32d1aeb79f2d9464eb936b166bba7ae869500c55b11f0d01009

Observation e9d38fb4-002a-42c0-a2ee-907e73f957ea · outbound

This paper cites Arbarello, M.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Arbarello, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.342341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.718039Z digest=sha256:01cc111148f7523eb68ad1205208bfba37c2bdc18d84e9ac3c63c1c177765cc1

Observation 18244bab-a067-4a33-9654-4666c6da148b · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 3

Resolution
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raw_fallback, observed 2026-08-05T10:41:28.333289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.721191Z digest=sha256:fee1351a431864b1997038d413e80e06501b3f8bf20078cb1c7b8dec7fc1ea75

Observation 3fb95e04-5c57-476d-94ef-b26722fdba89 · outbound

This paper cites Berthelot, -modules arithm\' e tiques I, Op\' e rateurs diff\' e rentiels de niveau fini, Ann.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Berthelot, -modules arithm\' e tiques I, Op\' e rateurs diff\' e rentiels de niveau fini, Ann

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.724499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.724499Z digest=sha256:a966f971144651e464c8a023ce98114c8dc3a1f39fb6822126822298eba76124

Observation 3ad72180-6159-4dc3-8cba-ae80f3ed255b · outbound

This paper cites Berthelot, -modules arithm\' e tiques II, Descente par Frobenius , M\' e m.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Berthelot, -modules arithm\' e tiques II, Descente par Frobenius , M\' e m

Reference 5

Resolution
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no resolver link, observed 2026-08-05T10:41:27.727325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.727325Z digest=sha256:e965277d83db4aa1611384a18cc88a20732901261e1f2db7ba19156a41ade0ba

Observation 738533d1-31ac-4484-acb9-e201791dac89 · outbound

This paper cites Bezrukavnikov, R.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Bezrukavnikov, R

Reference 6

Resolution
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no resolver link, observed 2026-08-05T10:41:27.730294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.730294Z digest=sha256:53910368033816320f55a343f28d075a2d281e2aad9dac822c5b3da3164bce6c

Observation 397e0403-5bf1-48c5-8088-e51e72a492b6 · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.733299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.733299Z digest=sha256:249c5d6231f177bb3f20d2aa475cdf591eff837011299e35f4d01c82a4e15eda

Observation 984a838f-0c9b-44d9-b65a-49c500671a13 · outbound

This paper cites Deligne, D.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Deligne, D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.300216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.736296Z digest=sha256:9341d4ddf56c4712719bd7ce46cebbbe58a7aeb0ae8e60696141886133494da0

Observation 30473233-f96f-469c-b2eb-138dc86a33b8 · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:41:28.291141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.739082Z digest=sha256:0e2131f8342f70cc6c9d97b6b25da2bceeba39a6a4eac72a0891feeb7191ebcb

Observation a0ca7452-320a-45a3-a197-d1a4fb47fa3f · outbound

This paper cites Faltings, Real projective structures on Riemann surfaces, Compos.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Faltings, Real projective structures on Riemann surfaces, Compos

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.281282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.741712Z digest=sha256:a3393724973a807026f5cc90139145708076ae2728e07496aca599563ade8fb3

Observation 9cfb780e-7b91-49cd-8aad-17392c964a50 · outbound

This paper cites Fantechi, L.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Fantechi, L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.272317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.744452Z digest=sha256:bcc1f5682e6a282532cb6ad62b8284c6e873ba3d80ea0a7249cd717973159cac

Observation 91bc124e-0e57-4c5a-928e-0f96540d8c30 · outbound

This paper cites Gieseker, Flat vector bundles and the fundamental group in non-zero characteristic, Ann.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Gieseker, Flat vector bundles and the fundamental group in non-zero characteristic, Ann

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.262470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.747036Z digest=sha256:fce78c9fb46c66d0e2f28df547f83a4ce9639bcd1e07bce136f89ab28b8812cd

Observation c71777ce-e867-4a73-9576-ad38bd1f5d71 · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 13

Resolution
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raw_fallback, observed 2026-08-05T10:41:28.253441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.749622Z digest=sha256:f4c0eea3b731a6c09b41d552f9c35674795e61dc2143595e7211d3242ae4f2d8

Observation 5dfb2610-3789-4dec-b027-d4e95e9803cc · outbound

This paper cites Grothendieck, \' E l\' e ments de g\' e om\' e trie alg\' e brique.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Grothendieck, \' E l\' e ments de g\' e om\' e trie alg\' e brique

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.244423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.752323Z digest=sha256:890f8147080006a3c886f11f51ce66d4d07434128fa6700df90b808a65fb1e47

Observation 72d28118-963c-4cf5-b598-4af4f43a9e91 · outbound

This paper cites Hartshorne, Algebraic geometry , Grad.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Hartshorne, Algebraic geometry , Grad

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.755037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.755037Z digest=sha256:36dfdc9d5dd0054e3c1d891b5dd1fc48d03fecd1d2992bb5c73fd7f7ffd91dd1

Observation d286517b-5d91-4297-9d7c-bc93f24e616d · outbound

This paper cites Hoshi, Frobenius-projective structures on curves in positive characteristic, Publ.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Hoshi, Frobenius-projective structures on curves in positive characteristic, Publ

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.757916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.757916Z digest=sha256:1346cb208ecf4f43fc1d0ff1a83df485cff8bcc19e65b8981afc1d6f3972a970

Observation 50ddd2ae-d160-4e9b-87c0-42b3727383f1 · outbound

This paper cites Hoshi, Frobenius-affine structures and Tango curves, Nagoya Math.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Hoshi, Frobenius-affine structures and Tango curves, Nagoya Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.223981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.760526Z digest=sha256:454cae8a50c4dff82bc56be1a3b4a1a0f3d454a988fde80e211de0180f02fb3c

Observation 7e950c45-0546-4abb-b972-75ac932c2b40 · outbound

This paper cites Joshi, C.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Joshi, C

Reference 18

Resolution
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no resolver link, observed 2026-08-05T10:41:27.763090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.763090Z digest=sha256:8dcad6adc2eeda6c6f9860ac81dd08f9579cd15bc759c11e1a9db4b01c335865

Observation c8239780-c5a9-47a7-9ccc-195e98a8e187 · outbound

This paper cites Joshi, S.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Joshi, S

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.765982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.765982Z digest=sha256:ec09df5502422ad3bcf10e3d77d935dacd7e5c8b8d4e9a1853802d218f688ac1

Observation 9b0a1ebf-7b37-49f6-ad36-eb66228112a6 · outbound

This paper cites Joshi, E.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Joshi, E

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.768640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.768640Z digest=sha256:9eb487cb828db97a5f50f6cf23f49f2476f2f49231c9046954456f5fb16aec8a

Observation ae63ad93-0d1c-4b92-a100-08858f84f0a1 · outbound

This paper cites The moduli space of dormant opers on elliptic curves.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper The moduli space of dormant opers on elliptic curves

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.771133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.771133Z digest=sha256:a7e00460ef3daae9dc14c51864aa5ce1a40477e98b9d41b9c8bc190d5653f8f7

Observation aa06a7f6-a371-483b-a3ec-465e7a96931c · outbound

This paper cites Kato, Log smooth deformation and moduli of log smooth curves, Internat.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Kato, Log smooth deformation and moduli of log smooth curves, Internat

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.774015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.774015Z digest=sha256:be8dc3ec7f7176ef03a1eb82013e75a3645d80ba05600672608875f83341f345

Observation 04b35e8f-67a0-47b7-bc78-8c8a8832f137 · outbound

This paper cites Katz, Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin, Inst.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Katz, Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin, Inst

Reference 23

Resolution
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no resolver link, observed 2026-08-05T10:41:27.776745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.776745Z digest=sha256:46bdae84c516cf6d6666f534cbcb438621a4bcba3a49180274f51baa188de83c

Observation ef95bb53-659f-4408-9e81-a71cf725ea7c · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 24

Resolution
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raw_fallback, observed 2026-08-05T10:41:28.184769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.779604Z digest=sha256:5092eeffa46e836fb318e668e642a8d7f5642c09f72abfcbe8b9d9145a291c7f

Observation b117f941-56c2-494e-8be5-3d60827fd680 · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 25

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no resolver link, observed 2026-08-05T10:41:27.782162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.782162Z digest=sha256:39fa81ff77b87f50c96b81e596777f2716c2e0d00f4850efaa37692c5495e1bd

Observation 1479fbc7-70c0-421f-8a54-0dc159e50a72 · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:41:28.169889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.784902Z digest=sha256:200196d8ca3a86eb9a4c42dfb6f5ffb63bad7f7ba058ce341fe16bd1139af5ab

Observation 00b79970-5e64-4fdc-b08d-9a6d77858e87 · outbound

This paper cites Kondo, Y.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Kondo, Y

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.160801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.787470Z digest=sha256:258928d366fd1417b2a1f7c817ecc571fe268789bfcd1fd770d6a37abbd9f9cb

Observation 8bc7e3ab-a1e3-4deb-af84-4738c3e6e32f · outbound

This paper cites Lange, C.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Lange, C

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.151441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.790466Z digest=sha256:30eea201439dba9ab7c2f032a16570ed0247aca5865ada810beec5f9d662bb9a

Observation fd6f53a3-8bd6-4611-9f9e-9dff47b359f9 · outbound

This paper cites Laszlo, C.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Laszlo, C

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.793058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.793058Z digest=sha256:cf7a2a2221485664ef978ff0825264566aa90634ff58e3ae26749e823ce89de9

Observation 8f675f7d-f3fd-4f90-87aa-bfd6ab005ced · outbound

This paper cites Laszlo, C.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Laszlo, C

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.136033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.795764Z digest=sha256:1586f047043876f32a656e8b76a86d8fd7f14b976ec5b522f2dcada39e758447

Observation 6adaa664-ec26-4224-9404-6f43c2a66806 · outbound

This paper cites Laszlo, C.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Laszlo, C

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.126953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.798488Z digest=sha256:174ecf60dd13bf6398fefcd0aa7cde6951c838f1b57ecd80bd22e33a69ad5d3b

Observation bb5cd34f-8b19-4474-9a19-2e060be7b814 · outbound

This paper cites Le Stum, A.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Le Stum, A

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.801085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.801085Z digest=sha256:1fcab7963d3d424e9934b92cb728a79c9fc2b06dd889dd94df0b8dbf8bfe11dc

Observation 46f05a9d-e787-4361-8b52-06605c7d5b99 · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Li, On maximally Frobenius destabilized vector bundles, Bull

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.803623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.803623Z digest=sha256:e05b3ea3be52e990b872e06761c3daa91241a9ed158fb8d1b63ef78c00df738b

Observation a829918b-0d09-438a-9244-70cb35799773 · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.806250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.806250Z digest=sha256:260084c43dfb91046f0cb8c08647f7bc566d24c58bd3d25874029665ab4cf2b2

Observation 6ad9c842-7e0f-4972-bc55-f99a5ab63d0f · outbound

This paper cites an unresolved cited work.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:41:28.098978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.809073Z digest=sha256:98fd6330f3618991ca6f61fcaf3166171fc5c1d32fb7a874dde21cf0c01eba81

Observation e081b866-01e1-431f-853a-c286b3bf8960 · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Mochizuki, A theory of ordinary p -adic curves, Publ

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.812533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.812533Z digest=sha256:c0c79ef0546a56bdca849627d75aad83d13c97d3d00fe3666c66aa3c3de3de9d

Observation f130d196-dd6c-4ddd-9afb-0b022ba0adc3 · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Mochizuki, Foundations of p -adic Teichm\" u ller theory , AMS/IP Stud

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.815105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.815105Z digest=sha256:95cb66123fcbe5300b896039cccd586d2614c4be2d6234ffdc51a0e3582e59c6

Observation 698a3ab8-070a-43b6-8f9f-eccd72f3c589 · 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.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper 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 38

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.817783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.817783Z digest=sha256:153dd3481630d0fa570e1c353b7ef4022a46f98388c80f06f66df0c2c2e48d26

Observation d456c076-c211-47a7-acce-ce6385084c82 · outbound

This paper cites Ogus, F -Crystals, Griffiths Transversality, and the Hodge Decomposition, Ast\' e risque 221 , Soc.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Ogus, F -Crystals, Griffiths Transversality, and the Hodge Decomposition, Ast\' e risque 221 , Soc

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.820523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.820523Z digest=sha256:e03451a7da3e33cf7deec87c8470f698f8715b1436033268a2436cf8353fa855

Observation ba0025a6-ab20-44eb-a634-cd3c1c01c50e · outbound

This paper cites Ogus, Higgs cohomology, p -curvature, and the Cartier isomorphism, Compos.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Ogus, Higgs cohomology, p -curvature, and the Cartier isomorphism, Compos

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.063772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.823356Z digest=sha256:8c14ea6ae1c8db22b5de4da8a9a52346218a07f67fd97c030628e0222d97ffbb

Observation 60197b80-e08a-42b4-aee9-907689885d11 · outbound

This paper cites Ohkawa, On logarithmic nonabelian Hodge theory of higher level in characteristic p , Rend.Sem.Mat.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Ohkawa, On logarithmic nonabelian Hodge theory of higher level in characteristic p , Rend.Sem.Mat

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.826139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.826139Z digest=sha256:bc7e8551cf72ae13239c2f05cd30910926e174fca43ecaabb87460584ae072c4

Observation 665709cb-79d6-46ca-ab0f-816b6f3e90e3 · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Osserman, The generalized Verschiebung map for curves of genus 2 , Math

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.828725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.828725Z digest=sha256:0de9c7e6cf8ca376f3d0cb9f6c3f3a48e05dbd33b88f17d1aa6aa52d0729d178

Observation b0f8342d-8d6c-45d9-99b1-9c525d673d69 · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Duality for dormant opers, J

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.831797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.831797Z digest=sha256:d2115c895c3ccc91dd4168c9eed0e7e6bf8d1b4546232a6d2824df2d35ce96b4

Observation 91d8fa8d-0fc8-46b8-a9bf-30cc31a53311 · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Spin networks, Ehrhart quasi-polynomials, and combinatorics of dormant indigenous bundles, Kyoto J

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.834719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.834719Z digest=sha256:2d31fd805939d4b7c4d12f4476c61ea40e2d0749c394c9c820ce0075175f7262

Observation b8deee96-3905-4e6b-a587-a50e63e54d9a · outbound

This paper cites Wakabayashi, Moduli of Tango structures and dormant Miura opers, Mosc.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Moduli of Tango structures and dormant Miura opers, Mosc

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.030221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.837319Z digest=sha256:e9b7e23c2420483a7186101c4c79974fbbd129af7bf6bd367d1ffd3947c8a000

Observation 7ca2e679-c9f5-48f3-b4fc-b936ca2ac7c2 · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, A theory of dormant opers on pointed stable curves , Ast\' e risque 432 , Soc

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.840093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.840093Z digest=sha256:1556e4e489198a2495e6d379c87d9440c4eb3ea96ff7e98ee2a7de1b30417561

Observation a1b3ec40-0322-4bd6-9688-df7303b230e4 · outbound

This paper cites Projective and affine structures in positive characteristic I: Chern class formulas and Characterizations of projective spaces.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Projective and affine structures in positive characteristic I: Chern class formulas and Characterizations of projective spaces

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:41:27.961122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.842621Z digest=sha256:ccc30c39bdf7955c954a98fbed8dabfe6e17411b62568b84de773b2c8103020f

Observation 1fd0080c-aab2-40cd-a94c-41743181f7df · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Differential modules and dormant opers of higher level

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.845747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.845747Z digest=sha256:bd8e39d3d57aa5f28286495ef96ab015a2b3ae14f067528bb464050d4486f50e

Observation ed7e31b5-6035-4b31-8a51-ffec515a9663 · outbound

This paper cites Wakabayashi, Cyclic \' e tale coverings of generic curves and ordinariness of dormant opers, Journal of Algebra 623 (2023), pp.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Cyclic \' e tale coverings of generic curves and ordinariness of dormant opers, Journal of Algebra 623 (2023), pp

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:28.015259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.848773Z digest=sha256:d4f2ae16350bb0f3f7d1823ca0dcd537d04209dc33b5a383b6f5646c22f4186d

Observation 6c6ceac9-d55c-4bcd-8956-ba3a15548ccf · outbound

This paper cites Wakabayashi, Frobenius-Ehresmann structures and Cartan geometries in positive characteristic, Indag.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Frobenius-Ehresmann structures and Cartan geometries in positive characteristic, Indag

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.851516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.851516Z digest=sha256:7c6848550f22dfb7b8401f0956c1ba5459dbebbf67e0a678d385f8d81f8ae830

Observation 13f46f93-b0f8-49d1-bca0-0d01aaa502cf · outbound

This paper cites Infinitesimal deformations of opers in positive characteristic and the de Rham cohomology of symmetric products.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Infinitesimal deformations of opers in positive characteristic and the de Rham cohomology of symmetric products

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.854212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.854212Z digest=sha256:d016142f41fd1a71338fba0b42a47c6348420a13f0fa2a8dadddf5ee6e257f6f

Observation 66fd7b05-405e-4496-aaa5-6c3f266d3e8e · outbound

This paper cites Opers with real monodromy and Eichler-Shimura isomorphism.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Opers with real monodromy and Eichler-Shimura isomorphism

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.857651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.857651Z digest=sha256:b12b8b920cbdcda8ccfd3f751502339d66e025185ce45ac006ddc7e61e1c4003

Observation 673cc83f-c90c-4024-b4f3-817eb4cd1f7b · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Frobenius pull-back of parabolic bundles and dormant opers

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:41:27.919497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.860627Z digest=sha256:2fde5ac5efa2e038157e160c7c3d2dc921e7f8d7d234954df822bcb15c106c39

Observation 12706f38-713a-484c-a96c-5de25af27976 · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Inseparable Gauss maps and dormant opers, Math

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.863666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.863666Z digest=sha256:cbcdabeb2267a1984fa0d60a539019740d3c464ebc4bb79f98fd2519310fc1b8

Observation a30747e4-e7af-45da-8513-a60c154629ae · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, The generic \' e taleness of the moduli space of dormant _ 2 -opers, J

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.866610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.866610Z digest=sha256:39c3abfd20fcd3660d6d8e88c93f089046718179b7d8fdbf2ab9d954e77bd5b7

Observation 11669721-fefe-4630-9857-7233846d8f1b · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Arithmetic liftings and 2d TQFT for dormant opers of higher level

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.869331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.869331Z digest=sha256:2b09665b1dc5f40b604fe9e347c1d63a11b7ec32bd6e1973e4d306d60f5821de

Observation 7836ae2b-3903-43f7-8d7c-e820645fca26 · outbound

This paper cites Wakabayashi, Towers of the moduli space of dormant PGL _2^ ( ) -opers, in preparation.

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Wakabayashi, Towers of the moduli space of dormant PGL _2^ ( ) -opers, in preparation

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:41:27.986710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-05T10:41:27.872041Z digest=sha256:2dbdc957ff2a1367d25bec30ab5e364696af30a67c07f3bcc45501d97a02ac61

Observation 10a57ded-39ce-428d-9232-837e0900a12a · outbound

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

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Zhao, Maximally Frobenius-destabilized vector bundles over smooth algebraic curves, Internat

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-05T10:41:27.874790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:41:27.874790Z digest=sha256:b6166cade5ccc945c80d530dd89bf6e265e4cf8ae84d4710cce6619b7421c0a4

Pith citing papers

Observation 93287453-995c-4637-a86a-2c6c93ecc93e · inbound

Genus formulas for dormant modular curves and asymptotic behavior of their function fields cites this paper.

Genus formulas for dormant modular curves and asymptotic behavior of their function fields The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-20T01:17:54.717908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-20T01:17:50.944228Z digest=sha256:0ece8e5878d6d754b8a6f84af587149d7d7262c9b5adacea34e615cf0c311bbd