Paper Citation Record · LEDGER

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line

As of 18 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2505.02556.

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

pith.paper-citation-record.v1
2505.02556 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:00:55.137161Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T18:57:43.010805Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T18:58:08.588962Z

Reference resolution

21 of 21 outbound references displayed

verified exact4
verified fuzzy14
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed57837a-cb1c-455a-885f-bc499a1ad83a · outbound

This paper cites On Gromov–Witten invariants of P1,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line On Gromov–Witten invariants of P1,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.428466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 96346bb2-f3ec-466e-8913-613bbe26ea21 · outbound

This paper cites The Toda equations and the Gromov–Witten theory of the Riema nn sphere,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line The Toda equations and the Gromov–Witten theory of the Riema nn sphere,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.415448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b3e6344e-dec6-4e95-8bed-fde63b37805f · outbound

This paper cites Gromov-Witten theory, H urwitz theory, and completed cycles,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Gromov-Witten theory, H urwitz theory, and completed cycles,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.401384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 987ee2b0-eed2-44e4-bee5-fade9c795f61 · outbound

This paper cites Period mapping associated to a primitive form,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Period mapping associated to a primitive form,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.389148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c081ecec-3fe9-4aad-9def-d8f4ef7b501c · outbound

This paper cites Descendants constructed from matter fields in topological Landau-Ginzburg theories coupled to topological gravity.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Descendants constructed from matter fields in topological Landau-Ginzburg theories coupled to topological gravity

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-16T01:00:55.255781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d1b62737-e358-4e86-9175-7a2b4458da5c · outbound

This paper cites Topological st rings, ﬂat coordinates and gravitational descendants,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Topological st rings, ﬂat coordinates and gravitational descendants,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.376864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 85fad467-0c30-4827-890e-f0651239c935 · outbound

This paper cites On connection between topological La ndau-Ginzburg gravity and integrable systems,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line On connection between topological La ndau-Ginzburg gravity and integrable systems,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.364736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7d55faf0-8227-4d45-a820-a8755eae0474 · outbound

This paper cites Topological σ models and large N matrix integral,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Topological σ models and large N matrix integral,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.352440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b1455320-91eb-4606-b3f1-66bfb815d9a4 · outbound

This paper cites Gravitational Quantum Cohomology.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Gravitational Quantum Cohomology

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-16T01:00:55.239197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ae30ff1e-6dd8-4679-b568-45da894f8bac · outbound

This paper cites Gromov–Witten invariants and quantization of q uadratic Hamiltonians,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Gromov–Witten invariants and quantization of q uadratic Hamiltonians,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.340840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7092ae4d-d2b1-4b44-82be-ec78d2e30826 · outbound

This paper cites Primitive Forms, Topological LG models coupled to Gravity and Mirror Symmetry.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Primitive Forms, Topological LG models coupled to Gravity and Mirror Symmetry

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-16T01:00:55.223369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 97718053-1318-4104-bf07-805b3d3a900c · outbound

This paper cites Relations between the correlator s of the topological sigma-model coupled to gravity,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Relations between the correlator s of the topological sigma-model coupled to gravity,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.329650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8e1a7fd7-3750-4a1e-ae99-0b8b6d5e2f51 · outbound

This paper cites Gromov–Witten invariants of P1 and Eynard–Orantin invariants,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Gromov–Witten invariants of P1 and Eynard–Orantin invariants,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.317982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cea0d2c1-92e8-4974-9f3c-1207c68ed839 · outbound

This paper cites Identiﬁcation of the Givental formula with the spectral curve topological recursion pr ocedure,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Identiﬁcation of the Givental formula with the spectral curve topological recursion pr ocedure,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.305056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0f331bd9-082c-4551-94ef-e6901e00d580 · outbound

This paper cites Manin, Frobenius manifolds, quantum cohomology, and moduli space s, vol.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Manin, Frobenius manifolds, quantum cohomology, and moduli space s, vol

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.292489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ae27402f-9339-493e-84c0-a0194c3ccbac · outbound

This paper cites Two-dimensional gravity and intersection theory o n moduli space,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Two-dimensional gravity and intersection theory o n moduli space,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.279995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9e36126d-3b04-4e82-92a4-8044b5e605fd · outbound

This paper cites Structures of K. Saito theory of primitive form in to pological theories coupled to topological gravity,.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Structures of K. Saito theory of primitive form in to pological theories coupled to topological gravity,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:00:55.267813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f60558db-ace0-4155-8cdf-60639dd199c0 · outbound

This paper cites "Hodge strings" and elements of K.Saito's theory of the Primitive form.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line "Hodge strings" and elements of K.Saito's theory of the Primitive form

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-16T01:00:55.206590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b612b7f1-4abf-4990-b0ab-7f467657e028 · outbound

This paper cites Tropical Mirror.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Tropical Mirror

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T01:00:55.129246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d99b60a-5d40-4169-b0f7-82fb647666ef · outbound

This paper cites Tropical Mirror Symmetry: Correlation functions.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Tropical Mirror Symmetry: Correlation functions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T01:00:55.133071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5aca9522-f3ac-4b10-a430-0c94764acd44 · outbound

This paper cites Tropical mirror for toric surfaces.

Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line Tropical mirror for toric surfaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T01:00:55.137161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ac4ceb22-85f3-41cd-823c-c9d6522ec20e · inbound

Worldsheet Duals to One-Matrix Models cites this paper.

Worldsheet Duals to One-Matrix Models Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line

Reference 69

Resolution: verified exact; arxiv_id, observed 2026-05-13T18:58:08.590689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.