Pith. sign in

Paper Citation Record · LEDGER

Gamma functions, monodromy and Frobenius constants

As of 20 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 2026-08-20T06:33:59.587034+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

  • verified exact0
  • verified fuzzy19
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:08.120029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.596944Z digest=sha256:fefc6bed487fbf75046a008108daaafdf9b3da4d4a009630e19c789025ebe9e3

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:08.105353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.603328Z digest=sha256:c1a5e981f3c92506c9d93d2f7948d87fb06f5fc15a43f1914a287446137576bc

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

This paper cites Bloch, H.

Gamma functions, monodromy and Frobenius constants Bloch, H

Reference 3

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.607942Z digest=sha256:bd6c723022fc780b28a5cf0d992679b50222907f8decbc6278d82603ad030117

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

This paper cites Beukers, G.

Gamma functions, monodromy and Frobenius constants Beukers, G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:08.074210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.612887Z digest=sha256:63f08c00405344e1f97cae9c27281070901fced8a3e96e8e66e85e8d91752f92

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

This paper cites Broadhurst, private communication.

Gamma functions, monodromy and Frobenius constants Broadhurst, private communication

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:08.060885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.618430Z digest=sha256:248a041707b88c7a1cb50b7ce19443680e2bcb110b2fe16d95d1cbfba9e54253

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

This paper cites Fres´ an, P.

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

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:08.046274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.624994Z digest=sha256:033f7ec8000deb7d212c0ecc5c7bc6bb47bbd9021b5060394411964182feec0a

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

This paper cites The conifold point.

Gamma functions, monodromy and Frobenius constants The conifold point

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T12:28:07.630136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:28:07.630136Z digest=sha256:98f6ba2c0e4ab57111d4ed694af0b94b05b1c60a7d6c5bbc5bc454d0d7805776

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

This paper cites Golyshev, D.

Gamma functions, monodromy and Frobenius constants Golyshev, D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:08.032436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.636167Z digest=sha256:2266a52e09ce1598a117ece98b9d1383d2231107b5464b3dc0bb0012f8d8f9f8

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

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:08.017414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.642123Z digest=sha256:31aa5cae5a261313f8db6cf44ef18af08de43444f03234ca136fd3dd4630a71a

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.992221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.647583Z digest=sha256:57b3f4e99f1fa7f29e2630f2498ccef087b927b1d4039984eca61a29e972c738

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.974239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.652609Z digest=sha256:577bedde3ecc2483679424f391adb7a2ee0e378bc62c38a50d688d9a26ae2fe3

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.959868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.657728Z digest=sha256:2811e012e35bdae8f4b238de087242efa72494adcaea4b0a9ec033ffb2c40766

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.943714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.662221Z digest=sha256:460d4244a562b15381d5b4cc80eae07dbeb8d637b148ce486fd5863bdc8660b5

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

This paper cites Motivic irrationality proofs.

Gamma functions, monodromy and Frobenius constants Motivic irrationality proofs

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T12:28:07.666937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:28:07.666937Z digest=sha256:7c711992bf5a9a9fb9cfe46e5f2f30ae9f5527884396e31e7303ff6e9cb2d320

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.928185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.671335Z digest=sha256:b31122d2dcf7414be338e0340d12e8ee52c05cfce5621c907ef2ed58762649ec

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

This paper cites Kontsevich, D.

Gamma functions, monodromy and Frobenius constants Kontsevich, D

Reference 16

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.676031Z digest=sha256:0786a1979673117ad6124cc18c115b49aa56e1f1c68771135684f3f7c51bdad2

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

This paper cites Loeser, C.

Gamma functions, monodromy and Frobenius constants Loeser, C

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.892182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.681281Z digest=sha256:6377b4085f9c8af38249ed86a5e520088c8871c1176cdd8f292c13038aace28f

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.874137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.686300Z digest=sha256:2e186f67899ba032f8753a3dd419b5bce9c61a18a3b5c56bdb492ec845b88855

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

This paper cites Peters, J.

Gamma functions, monodromy and Frobenius constants Peters, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.855647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.691838Z digest=sha256:9eaaa00ed0beb9218cbbbc25440a24e6f53607eaed8d1031a6d45f6c0f10a206

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
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.834303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.697152Z digest=sha256:6d777fffaad1d047cf0037e4ac6eae825e28224f621b76d6070eaff8c06e1147

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.816933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.703134Z digest=sha256:927fcbd949f0068707ff4a46670db0da0f7062340dc716926739000079a852a7

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:07.787293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:28:07.708603Z digest=sha256:81d986255a51021ed76d57c4427585411031f794e0078f1116709174e953e9e3

Pith citing papers

No inbound Pith citation observations are available.