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Paper Citation Record · LEDGER

Rational cubic fourfolds with a symplectic group of automorphisms

As of 20 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 2026-08-19T06:32:44.657259+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=sha256:2d6875535ed1abd5afb186fb814040728df9d95d029a47137aa13959f3796912

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=sha256:7d27be503c8cb00836593f4ce12485f7cf39121e937fd8326c75f2bb34aef28d

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:ede985043c9bd175eac33a4aabeefae87319da9ff20157322cd66b8842bc2a38

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=sha256:6e7b98303232a185163580ceb2739646f5377026696d50ce7f0aaac27e3ccd59

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:24.799500Z digest=sha256:2fb4b20677542909ca456808bf41b3bfdb4de3e292063868576aed1f0475ea1a

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:24.902697Z digest=sha256:23d4d734d3bbb6ef726210296d1f757759851dada7a627d72d88eedaeec08d62

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:24.948610Z digest=sha256:d21c59b56f0e9ca7680c1cbfc0a074c69f75fca7d3ea3d05019418d93011ba69

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.021635Z digest=sha256:49b0843f76987d5a3f65f9779b38d1986d21e525fdfe209abb0e1f1528e87804

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=sha256:63ea9b379ca81bc08f0aee32fefa3577fe886e6e97e5ce8fd3f68404db42f57d

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.203112Z digest=sha256:19a7afaacac7e33cb28c0f59889347d9076fcce7fe18bdbc396af8932ec5a093

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.290941Z digest=sha256:922b6b7861f70eeccbc31006691693648a2a3f9bd209dae04d5db7bec4c63163

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.374855Z digest=sha256:539d44cd8be1f91000fd01a2663661082efddaeb0d511e748d5a97bec6807ff1

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.461806Z digest=sha256:0713c52b233c98dfce96afb132a8e2a616c65bfd3def6aa4baea573fd6569d8d

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=sha256:919a10f92239937b4f7e82dd3e5910b3b3859193b0c1f52f17b03bf4d7fa3ecb

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.616078Z digest=sha256:fc7e1ab8f18e4acce36c93ff0cbe68f50c367f0c46864fdbb8184b7fbddb7404

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.672016Z digest=sha256:0d42f894b2d31bf8c618892bcec2a169b18b41338fde7f8f4caffc6deb4f50fd

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.734979Z digest=sha256:2274f487d05253d9514f43d61ea294384563db204b0319b7be216200af3a2639

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=sha256:538120a1ecdf0f4c0b51f7a421914d8ece0cf8c9a97d6f8227350ae9419e9856

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.846446Z digest=sha256:ae859afde3d86bf755173c616332ec19b95caff6977cfcc528fbb3548bfec46d

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:25.904677Z digest=sha256:6b9ace29134898b2ebffbffeb6c9ca8703191901945110d1c1018fe8a5471c72

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=sha256:3c211f1eff78fceb20be842e02c6ee87043177cd13ed6d65da71ccacd3d97046

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-04T23:12:26.052596Z digest=sha256:ec701a4b5b06b99ad35bda7ed4fee3812aaa2048aee81e1a8a3db7d79bc08d74

Pith citing papers

No inbound Pith citation observations are available.