Paper Citation Record · LEDGER

Mysterious duality and helical line bundles on del Pezzo surfaces

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2507.10169.

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

pith.paper-citation-record.v1
2507.10169 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:52:27.134026Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:54:52.160606Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact3
verified fuzzy10
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c011c57-c508-4b27-afe0-b1617e9bd9d2 · outbound

This paper cites Helices on del Pezzo surfaces and tilting Calabi-Yau algebras.

Mysterious duality and helical line bundles on del Pezzo surfaces Helices on del Pezzo surfaces and tilting Calabi-Yau algebras

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:52:27.250948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 62663f3c-2d83-45bd-980e-47e672e75a9e · outbound

This paper cites Coble, Theta modular groups determined by point sets, Amer.

Mysterious duality and helical line bundles on del Pezzo surfaces Coble, Theta modular groups determined by point sets, Amer

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.552205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 29af766a-c012-463d-ba30-ea612d364db3 · outbound

This paper cites Dualisation of Dualities, I.

Mysterious duality and helical line bundles on del Pezzo surfaces Dualisation of Dualities, I

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T17:52:27.071720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c46e36ac-c34a-49b2-ad29-b16793f704a7 · outbound

This paper cites Helgason, Differential geometry, Lie groups and symmetric spaces , Acad.

Mysterious duality and helical line bundles on del Pezzo surfaces Helgason, Differential geometry, Lie groups and symmetric spaces , Acad

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.530743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b9fe5099-6e37-49f7-831a-ac477c3a322c · outbound

This paper cites Unity of Superstring Dualities.

Mysterious duality and helical line bundles on del Pezzo surfaces Unity of Superstring Dualities

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T17:52:27.080733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c924a88c-d286-4e82-af0f-cd27bcc75cc8 · outbound

This paper cites A Mysterious Duality.

Mysterious duality and helical line bundles on del Pezzo surfaces A Mysterious Duality

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:52:27.196595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fca492b1-c3d0-4d0a-a9e4-a1d89782352e · outbound

This paper cites Julia, Group disintegrations, in Superspace and Supergravity, Hawking & Rocek (eds), CUP 1981.

Mysterious duality and helical line bundles on del Pezzo surfaces Julia, Group disintegrations, in Superspace and Supergravity, Hawking & Rocek (eds), CUP 1981

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.491266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2c33c8aa-31b5-48eb-8e81-f81d18080647 · outbound

This paper cites Julia, Dualities in the classical supergravity limits, in Strings, Branes and Dualities,, pp 121-139, Baulieu et al (eds) NATO ASI Series C 520 Springer.

Mysterious duality and helical line bundles on del Pezzo surfaces Julia, Dualities in the classical supergravity limits, in Strings, Branes and Dualities,, pp 121-139, Baulieu et al (eds) NATO ASI Series C 520 Springer

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.387987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 48ca8c11-3715-41d7-95ac-026ee94e97d6 · outbound

This paper cites Kac, Infinite dimensional Lie algebras , C.U.P.

Mysterious duality and helical line bundles on del Pezzo surfaces Kac, Infinite dimensional Lie algebras , C.U.P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.363313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 47055ed2-bf59-4fd5-8b92-473f3794d96c · outbound

This paper cites Marcus, J.

Mysterious duality and helical line bundles on del Pezzo surfaces Marcus, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.343430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2bf25df6-ce8d-4c48-908f-d4e4ed3b775b · outbound

This paper cites Manin, Cubic Forms, North Holland (2nd ed) 1986.

Mysterious duality and helical line bundles on del Pezzo surfaces Manin, Cubic Forms, North Holland (2nd ed) 1986

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.320975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 187e6013-42b9-4b09-a531-ae5d0510108e · outbound

This paper cites Pati & A.

Mysterious duality and helical line bundles on del Pezzo surfaces Pati & A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.303248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5d92a303-56e4-46f4-b076-4d87e1ee4ea9 · outbound

This paper cites String Theory at the Millennium.

Mysterious duality and helical line bundles on del Pezzo surfaces String Theory at the Millennium

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.286077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9895a0fd-5853-43ca-8d86-e01a4e9ecc88 · outbound

This paper cites Vinberg, The Weyl group of a graded Lie algebra, Math USSR Izv.

Mysterious duality and helical line bundles on del Pezzo surfaces Vinberg, The Weyl group of a graded Lie algebra, Math USSR Izv

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:52:27.267419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bed5df5d-a7cf-4e97-a630-411c56a362ad · outbound

This paper cites Dualities in the classical supergravity limits.

Mysterious duality and helical line bundles on del Pezzo surfaces Dualities in the classical supergravity limits

Reference 1999

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:52:27.176151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 958ea9d7-1fe8-475d-8624-1d0daee9c175 · inbound

Computations and ML for surjective rational maps cites this paper.

Computations and ML for surjective rational maps Mysterious duality and helical line bundles on del Pezzo surfaces

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T10:54:52.160606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.