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Paper Citation Record · LEDGER

Gamma functions, monodromy and Frobenius constants

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.07501.

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

pith.paper-citation-record.v1
1908.07501 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:28:07.708603Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

22 of 22 outbound references displayed

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  • verified fuzzy19
  • unresolved3
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54f71fb3-2280-4e4b-ad93-cea2b71c113f · outbound

This paper cites Ap´ ery,Irrationalit´ e deζ(2) et ζ(3), Ast´ erisque 61 (1979), 11–13.

Gamma functions, monodromy and Frobenius constants Ap´ ery,Irrationalit´ e deζ(2) et ζ(3), Ast´ erisque 61 (1979), 11–13

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 52128a35-a8cf-415a-a4a0-b68768eb4f0e · outbound

This paper cites Beauville, Les familles stables de courbes elliptiques sur P1 admettant quatre fibres singuli` eres , C.

Gamma functions, monodromy and Frobenius constants Beauville, Les familles stables de courbes elliptiques sur P1 admettant quatre fibres singuli` eres , C

Reference 2

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e59a2f25-4c90-4d48-bb38-a9fc097d55ff · outbound

This paper cites Bloch, H.

Gamma functions, monodromy and Frobenius constants Bloch, H

Reference 3

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raw_fallback, observed 2026-08-14T12:28:08.089468Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e1d81ce7-6772-456e-b47d-b7f593691083 · outbound

This paper cites Beukers, G.

Gamma functions, monodromy and Frobenius constants 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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.612887Z digest=sha256:01571046fcaf66d4d8087394c8a4d878e6ef13dc32d63e7c4c563ec9f128fecd

Observation 5864094c-3c5f-4b54-beff-71871bfeb2fb · outbound

This paper cites Broadhurst, private communication.

Gamma functions, monodromy and Frobenius constants Broadhurst, private communication

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.618430Z digest=sha256:a057e7bb2227a0a9b5be2e2b4472376e8ee3b4b42370f8a3e25252ce5c990872

Observation f0f3dda0-5b3b-42f8-b600-34bfbb9f3bc1 · outbound

This paper cites Fres´ an, P.

Gamma functions, monodromy and Frobenius constants Fres´ an, P

Reference 6

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.624994Z digest=sha256:36237d31db75dfb991545344f0215f2618de4ec81fab3a37ad68cb241d046d8b

Observation 0789a238-e0ef-4417-a3f0-8b08464f9b74 · outbound

This paper cites The conifold point.

Gamma functions, monodromy and Frobenius constants The conifold point

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:28:07.630136Z digest=sha256:158936409ab00376d27c0e18c9b39a08a0739c4f55a1de47b16af100e4ac7341

Observation 247f8857-72f0-4d59-b3b1-2452406537d0 · outbound

This paper cites Golyshev, D.

Gamma functions, monodromy and Frobenius constants Golyshev, D

Reference 8

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.636167Z digest=sha256:f35e0882dffc18c3aa533a69af6abc48632dc2bd9dcb461ca6fd5951339444e5

Observation 21bfae49-f3cb-436c-8f2d-c89912cada45 · outbound

This paper cites an unresolved cited work.

Gamma functions, monodromy and Frobenius constants Unresolved cited work

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.642123Z digest=sha256:cfedc54b0c681d07cc9d34233f93177b578ca4a669f6a2fd7cb5ebd64c99f59a

Observation 0a3e9555-2c13-4f5b-814c-4a8061ba9ed5 · outbound

This paper cites Haefliger, Local theory of meromorphic connections in dimension 1 (Fuchs theory), Chapter III in A.

Gamma functions, monodromy and Frobenius constants Haefliger, Local theory of meromorphic connections in dimension 1 (Fuchs theory), Chapter III in A

Reference 10

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.647583Z digest=sha256:fdd52d72f4ab634179bfdf763c79c67b7fe0fcff67bf33f7b5671f088f35e2f0

Observation 6b8ba41c-9b17-4abc-ade7-88b880c77ee7 · outbound

This paper cites Illusie, Autour du th´ eor` eme de monodromie locale, Expos´ e I, P´ eriodesp-adiques - S´ eminaire de Bures, 1988.

Gamma functions, monodromy and Frobenius constants Illusie, Autour du th´ eor` eme de monodromie locale, Expos´ e I, P´ eriodesp-adiques - S´ eminaire de Bures, 1988

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.652609Z digest=sha256:2af496736a19c1815aea55c4ab9e7083bbbe2ed9577ad8150b90f131c5c3b523

Observation c98dbdd8-9446-4c58-a41b-3d38b5e0fe9c · outbound

This paper cites Katz, Nilpotent connections and the monodromy theorem : applicat ions of a result of Turrittin , Publications math´ ematiques de lI.H.´E.S.

Gamma functions, monodromy and Frobenius constants Katz, Nilpotent connections and the monodromy theorem : applicat ions of a result of Turrittin , Publications math´ ematiques de lI.H.´E.S

Reference 12

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.657728Z digest=sha256:62461060a528f5708d9f9f0c5a99db0d2f66d0614976620714fb225ceb262d0c

Observation e7caa0e8-f56e-45cd-b23b-958c3b6ebff3 · outbound

This paper cites Katz, On the calculation of some differential Galois groups , Invent.

Gamma functions, monodromy and Frobenius constants Katz, On the calculation of some differential Galois groups , Invent

Reference 13

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.662221Z digest=sha256:7ba4bba101f2202eb1a7db7aed18d48c77e542c7a983936503524d188c946455

Observation 0eef0548-f3d0-4ea7-9101-ac54a7893389 · outbound

This paper cites Motivic irrationality proofs.

Gamma functions, monodromy and Frobenius constants Motivic irrationality proofs

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:28:07.666937Z digest=sha256:806ff44bffac1618cb28aff5e15111bde256b1f40f57d4b660e7b3f0d7097825

Observation 7d34ac78-9a31-4f8d-9947-207935993ba4 · outbound

This paper cites Kerr, Unipotent extensions and differential equations (after Blo ch-Vlasenko), to appear.

Gamma functions, monodromy and Frobenius constants Kerr, Unipotent extensions and differential equations (after Blo ch-Vlasenko), to appear

Reference 15

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.671335Z digest=sha256:b86868e65f0fc47a3cb83643548270a443ab1bb602052c1a292dc2af3db51757

Observation 5bfa8fb1-cd9a-454b-bb8d-031a2eb43a31 · outbound

This paper cites Kontsevich, D.

Gamma functions, monodromy and Frobenius constants Kontsevich, D

Reference 16

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raw_fallback, observed 2026-08-14T12:28:07.912076Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.676031Z digest=sha256:71ce3c4ea4b05c158ee5f5baf6560c4bb424fc01c7d152faca3891f214f5ee00

Observation 927924af-9f41-4be2-a239-fe5ee1928585 · outbound

This paper cites Loeser, C.

Gamma functions, monodromy and Frobenius constants Loeser, C

Reference 17

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source=pdf_text observed=2026-08-14T12:28:07.681281Z digest=sha256:de59a0eebb5cf3b4150b8ff1907aac90c12926c0fef5669b68a962ad05526a23

Observation f41f448d-8524-41dd-b7b5-32a0dba38bf9 · outbound

This paper cites Malgrange, ´Equations Diff´ erentielles ` a Coefficients Polynomiaux, Birkh¨ auser, Progress in Math, vol.

Gamma functions, monodromy and Frobenius constants Malgrange, ´Equations Diff´ erentielles ` a Coefficients Polynomiaux, Birkh¨ auser, Progress in Math, vol

Reference 18

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.686300Z digest=sha256:df76ba05f849884e564ac46b5e863472bf67f1d81a022307c79d734c307f5cfc

Observation eea26584-efa2-4092-b502-b3376949e779 · outbound

This paper cites Peters, J.

Gamma functions, monodromy and Frobenius constants Peters, J

Reference 19

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.691838Z digest=sha256:043ac51ac28e094f7d128fba31bc00564a699ff1764eb0e4e515aaba06d8b2de

Observation 0ef36fbf-c0c4-49fb-9036-f36b4fc52103 · outbound

This paper cites Schmid, Variation of Hodge Structure: the Singularities of the Peri od Mapping , Inventiones Math.

Gamma functions, monodromy and Frobenius constants Schmid, Variation of Hodge Structure: the Singularities of the Peri od Mapping , Inventiones Math

Reference 20

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.697152Z digest=sha256:6242af533e9e2f877faf6b45379eeee0de2e752064946213fed62fd0113a1aaf

Observation a1926562-7f71-4cb3-9956-86404a8b8701 · outbound

This paper cites Steenbrink, Limits of Hodge Structures , Inventiones Math.

Gamma functions, monodromy and Frobenius constants Steenbrink, Limits of Hodge Structures , Inventiones Math

Reference 21

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source=pdf_text observed=2026-08-14T12:28:07.703134Z digest=sha256:79981cd93cb756ca2b243b74afe7b97fd9cac89fb4c81826c5d1a4293295998c

Observation 90498b5d-05e4-48d9-83e6-166a9595fd1f · outbound

This paper cites Zagier, Integral solutions of Ap´ ery-like recurrence equations , in Groups and symmetries , vol- ume 47 of CRM Proc.

Gamma functions, monodromy and Frobenius constants Zagier, Integral solutions of Ap´ ery-like recurrence equations , in Groups and symmetries , vol- ume 47 of CRM Proc

Reference 22

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:07.708603Z digest=sha256:73040948b82905a554c1136fda76a61abc7059ecf11d8634a3fddf5e4a35b4cc

Pith citing papers

No inbound Pith citation observations are available.