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Paper Citation Record · LEDGER

Rational cubic fourfolds with a symplectic group of automorphisms

As of 10 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2509.06817.

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

pith.paper-citation-record.v1
2509.06817 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:12:26.052596Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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 exact5
  • verified fuzzy5
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 24c4407a-484b-43a3-b988-b87bba81a564 · outbound

This paper cites Moduli of Cubic fourfolds and reducible OADP surfaces.

Rational cubic fourfolds with a symplectic group of automorphisms Moduli of Cubic fourfolds and reducible OADP surfaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T23:12:24.405472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:12:24.405472Z digest=sha256:584a6aaf403e07b89902de09a699ee7001f1895b60e36852659878351b1dcc73

Observation 24744446-1bc6-4bb9-9d02-b5ea7d1f6b39 · outbound

This paper cites an unresolved cited work.

Rational cubic fourfolds with a symplectic group of automorphisms Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T23:12:24.481904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:12:24.481904Z digest=sha256:bef8dc7eb0d7a58983161a7a77e01cde88112a9ba9412a7e228846271c452bc3

Observation 5f7756c1-577b-44f0-a494-33d7d99f4a64 · outbound

This paper cites an unresolved cited work.

Rational cubic fourfolds with a symplectic group of automorphisms Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T23:12:24.592027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:12:24.592027Z digest=sha256:0d0a23c85a9990151f629868b36816e3e62ef3326593838dbea6c29e493daeb1

Observation 5f872686-5f4f-4b69-a63f-a0cb4d5e17d4 · outbound

This paper cites Colliot-Th\'elene, _0 -trivialite' universelle d' hypersurfaces cubiques presque diagonales , Algebraic Geometry 4 (5) (2017).

Rational cubic fourfolds with a symplectic group of automorphisms Colliot-Th\'elene, _0 -trivialite' universelle d' hypersurfaces cubiques presque diagonales , Algebraic Geometry 4 (5) (2017)

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T23:12:24.683606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:12:24.683606Z digest=sha256:8c1a76cb99274103fd61ce1e5c311193669af2fe7ef32ad57c4e9fb2a0935ad8

Observation 7be04cf6-e106-49f4-b76a-8e7557874564 · outbound

This paper cites Planes in cubic fourfolds.

Rational cubic fourfolds with a symplectic group of automorphisms Planes in cubic fourfolds

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-04T23:12:27.267001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:24.799500Z digest=sha256:5250d26eb8cf7aa582633ea5c050524b6698a44a3bee148c0fadfae88b4fd429

Observation 4fd3a616-0f43-411e-ad25-4821f3939847 · outbound

This paper cites arXiv:2502.1929v1 [mat.AG] 26 Fe.2025.

Rational cubic fourfolds with a symplectic group of automorphisms arXiv:2502.1929v1 [mat.AG] 26 Fe.2025

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-08-04T23:12:26.997739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:24.902697Z digest=sha256:c3035c997e43b86a703df0fbc4c6af98f4d75e7151625058f9705fb4b4a3ecfa

Observation 1dbeab4d-20c6-44b6-9d7d-6558893374b8 · outbound

This paper cites an unresolved cited work.

Rational cubic fourfolds with a symplectic group of automorphisms Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-08-04T23:12:26.212246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:24.948610Z digest=sha256:ebbd82e9219fbb8066aa2906aea8e7a91573c9b2a6bfc70d2aa8e020641f61e5

Observation b027dab8-f4fb-40ba-bb05-7ad2b0c6bcc8 · outbound

This paper cites Fu, Classification of polarized symplectic autormorphisms of Fano varieties of cubic fourfolds , Glasgow Mathematical Journal, Vol.

Rational cubic fourfolds with a symplectic group of automorphisms Fu, Classification of polarized symplectic autormorphisms of Fano varieties of cubic fourfolds , Glasgow Mathematical Journal, Vol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:12:28.719375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.021635Z digest=sha256:a9bb3a16657025561cb5e5284279e542fad8e4afcb5e8923e820fe98a06f9013

Observation 1a060f52-79f6-4621-a618-af626565f9c8 · outbound

This paper cites Order 3 symplectic automorphisms on K3 surfaces.

Rational cubic fourfolds with a symplectic group of automorphisms Order 3 symplectic automorphisms on K3 surfaces

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T23:12:25.124578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:12:25.124578Z digest=sha256:1e99dd227eeb8df0052d9bd623f275c73923b96b35990f259c87e210d01caac6

Observation 3377d1c0-4f5c-4891-81ba-b2f857629344 · outbound

This paper cites an unresolved cited work.

Rational cubic fourfolds with a symplectic group of automorphisms Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:12:28.564049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.203112Z digest=sha256:472724c840e5db523386587a15a5d8cba59e1772532f192ee77dfbdcc9bc12db

Observation 60eeb617-de9b-4b56-9e0a-768e965f926b · outbound

This paper cites an unresolved cited work.

Rational cubic fourfolds with a symplectic group of automorphisms Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:12:28.428909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.290941Z digest=sha256:ff13d391c2881545e2f4045b810de1afabfe4dc0b94cbb3a5170b5e7ae39fccf

Observation 6e6aeac1-b010-4190-aab8-83cd2f4673c0 · outbound

This paper cites Pardini and G.P.

Rational cubic fourfolds with a symplectic group of automorphisms Pardini and G.P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:12:28.236038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.374855Z digest=sha256:45a8ee1fc407346b218e5743dd2b16d0bc3620d02fdc14b04aedae92d62460e9

Observation 7537a0b9-51c9-4aaf-b8ed-93b3669ca095 · outbound

This paper cites an unresolved cited work.

Rational cubic fourfolds with a symplectic group of automorphisms Unresolved cited work

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-08-04T23:12:26.765354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.461806Z digest=sha256:e82a33398e659b74246f651946b42457d42f5566ec7003e225d64f8559a2db01

Observation a182642a-ef28-4c46-a5d5-29a7182146b2 · outbound

This paper cites On the birational geometry for irreducible symplectic 4-folds related to the Fano schemes of lines.

Rational cubic fourfolds with a symplectic group of automorphisms On the birational geometry for irreducible symplectic 4-folds related to the Fano schemes of lines

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T23:12:25.531633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:12:25.531633Z digest=sha256:d60f22c28863b5a43a754fab67cb813005bd04176e3cc9624efeb8895dd43701

Observation 15254d11-d434-4f0b-8ac6-ee5bf1a7834b · outbound

This paper cites 300 (2) 1455-1507 (2022).

Rational cubic fourfolds with a symplectic group of automorphisms 300 (2) 1455-1507 (2022)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:12:28.081957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.616078Z digest=sha256:e82a206d1b76fbedda61431db4946be6958273681540469874606fca5c754a6a

Observation 12f8a472-7776-4f06-a073-1be410e9e2e1 · outbound

This paper cites 75, 105-121 (1984).

Rational cubic fourfolds with a symplectic group of automorphisms 75, 105-121 (1984)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:12:27.875868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.672016Z digest=sha256:ae191ea2df9b4f79713df37a7fd7f3da81b866c506fc559216ecd0d76de9a549

Observation 8ce93994-ef87-4df1-9bae-f7771f7d4e63 · outbound

This paper cites 8 ( 2 ) 171 - 195 (2021).

Rational cubic fourfolds with a symplectic group of automorphisms 8 ( 2 ) 171 - 195 (2021)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:12:27.688779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.734979Z digest=sha256:0813f0b79d74ed8aec4c5d00d3def91a4c474e11bff43403fa5a8266042cb455

Observation 1cd91e96-b4f8-4d54-9c09-3f77c507e415 · outbound

This paper cites an unresolved cited work.

Rational cubic fourfolds with a symplectic group of automorphisms Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-04T23:12:25.786333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:12:25.786333Z digest=sha256:0eecaadcd60d6c7eadd86d45dca98c4f8bb1ed5220dc13580f4211bba805671c

Observation e4051971-3e00-448e-869d-fe90a5c26294 · outbound

This paper cites an unresolved cited work.

Rational cubic fourfolds with a symplectic group of automorphisms Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:12:27.484723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.846446Z digest=sha256:e518a9141ce174246f393726316716937193961d856183cc0b8029fc99acc9a3

Observation 19a533cc-1b50-40f9-ae99-7244aa9efebd · outbound

This paper cites Equivariant Kuznetsov Components of Certain Cubic Fourfolds.

Rational cubic fourfolds with a symplectic group of automorphisms Equivariant Kuznetsov Components of Certain Cubic Fourfolds

Reference 20

Resolution
metadata mismatch
local_arxiv, observed 2026-08-04T23:12:26.507404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.904677Z digest=sha256:b05db67da2b53abf24f10c35078201c677f4109a1aa7fac5533effed80438a9d

Observation 66d55624-b536-4591-bf91-c765c62d7ee1 · outbound

This paper cites On lattice polarizable cubic fourfolds.

Rational cubic fourfolds with a symplectic group of automorphisms On lattice polarizable cubic fourfolds

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-04T23:12:25.968433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:12:25.968433Z digest=sha256:64c1701913028ad4e15982e7ff52a034031b9dd7278790e4bb3c62e8dba092d7

Observation c3500fed-e5b0-4fba-8163-e36b0d1a06fa · outbound

This paper cites Automorphism groups of cubic fivefolds and fourfolds.

Rational cubic fourfolds with a symplectic group of automorphisms Automorphism groups of cubic fivefolds and fourfolds

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-04T23:12:26.331734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-04T23:12:26.052596Z digest=sha256:1034a4b46e5ef74a86f638b8f0416d6827fc03b3100016fd14c3e6940e0d0349

Pith citing papers

No inbound Pith citation observations are available.