Paper Citation Record · LEDGER

Elliptic orbifold lines and integrable hierarchies

As of 8 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2606.08909.

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

pith.paper-citation-record.v1
2606.08909 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T15:09:46.777056Z

measured 36 of 36 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

36 of 36 outbound references displayed

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Outbound references

Observation e0381def-3d24-48ea-9768-2f851e257935 · outbound

This paper cites Gromov–Witten theory of Delign–Mumford stacks.Amer.

Elliptic orbifold lines and integrable hierarchies Gromov–Witten theory of Delign–Mumford stacks.Amer

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 5a590237-5b71-4812-a8af-f4565a3ef2f7 · outbound

This paper cites Arnold, S.

Elliptic orbifold lines and integrable hierarchies Arnold, S

Reference 2

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Observation 1d106884-6e66-4839-9ad9-21c292b7cdab · outbound

This paper cites W-constraints for the total descendant potential of a simple singularity.Compositio Math., 149:840–888, 2013.

Elliptic orbifold lines and integrable hierarchies W-constraints for the total descendant potential of a simple singularity.Compositio Math., 149:840–888, 2013

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 81208d28-77cf-45a9-beec-f1d86da1b491 · outbound

This paper cites On the strong DR/DZ equivalence conjecture.

Elliptic orbifold lines and integrable hierarchies On the strong DR/DZ equivalence conjecture

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-03T03:37:35.504995Z

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Observation 95b970a3-e787-4d56-a293-d56ad9188522 · outbound

This paper cites Vertex algebras, Kac–Moody algebras, and the Monster.Proc.

Elliptic orbifold lines and integrable hierarchies Vertex algebras, Kac–Moody algebras, and the Monster.Proc

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation f7bce3a1-575f-44df-b93e-f4bcfd6e8018 · outbound

This paper cites Double ramification cycles and integrable hierarchies.Communications in mathematical physics, 336:1085–1107, 2015.

Elliptic orbifold lines and integrable hierarchies Double ramification cycles and integrable hierarchies.Communications in mathematical physics, 336:1085–1107, 2015

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 63eac27a-6611-436d-aa9b-6500cf8cec5a · outbound

This paper cites A polynomial bracket for the Dubrovin-Zhang hierarchies.Journal of Differential geometry, 92:153–185, 2012.

Elliptic orbifold lines and integrable hierarchies A polynomial bracket for the Dubrovin-Zhang hierarchies.Journal of Differential geometry, 92:153–185, 2012

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 1a74b03d-207e-42d5-ad68-6d04985f2c5f · outbound

This paper cites Orbifold Gromov–Witten theory.

Elliptic orbifold lines and integrable hierarchies Orbifold Gromov–Witten theory

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 6fc9fbb9-b35a-41bd-8ce5-8921f09075fd · outbound

This paper cites Dubrovin conjecture and the second structure connection.

Elliptic orbifold lines and integrable hierarchies Dubrovin conjecture and the second structure connection

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-08T01:18:17.467635Z

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Observation 1b9c2192-0995-45fc-9305-c16be19ffbb9 · outbound

This paper cites On almost duality for Frobenius manifolds.

Elliptic orbifold lines and integrable hierarchies On almost duality for Frobenius manifolds

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 38365f1e-82c8-406d-bed6-7f8dc548e21f · outbound

This paper cites Frobenius manifolds and Virasoro constraints.Sel.

Elliptic orbifold lines and integrable hierarchies Frobenius manifolds and Virasoro constraints.Sel

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation bf13b5c9-4f00-430e-8349-f845ee1a1595 · outbound

This paper cites Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants.

Elliptic orbifold lines and integrable hierarchies Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-03T03:37:35.507421Z

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Observation 8c70cd78-832c-47fd-b200-7b2785964404 · outbound

This paper cites American Mathematical Society, 2001.

Elliptic orbifold lines and integrable hierarchies American Mathematical Society, 2001

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 94e4f3ad-df9a-41b4-bc13-e280fbc58b56 · outbound

This paper cites Soliton equations, vertex operators, and simple singularities.Functional Analysis and Other Mathematics, 3(1):47 – 63, 2010.

Elliptic orbifold lines and integrable hierarchies Soliton equations, vertex operators, and simple singularities.Functional Analysis and Other Mathematics, 3(1):47 – 63, 2010

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation ba6cbb40-d6eb-4153-aaf4-5ad78790e130 · outbound

This paper cites Dynkin diagrams of unimodal singularities.Funkcional.

Elliptic orbifold lines and integrable hierarchies Dynkin diagrams of unimodal singularities.Funkcional

Reference 15

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Observation e5805e48-c537-4cc6-99a3-7e80992c93c0 · outbound

This paper cites Twisted Picard–Lefschetz formulas.Funktsional.

Elliptic orbifold lines and integrable hierarchies Twisted Picard–Lefschetz formulas.Funktsional

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation a3d04085-0b99-4adf-b3ce-37e4b9585c29 · outbound

This paper cites Gromov–Witten invariants and quantization of quadratic hamiltonians.

Elliptic orbifold lines and integrable hierarchies Gromov–Witten invariants and quantization of quadratic hamiltonians

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation aab9c746-dd62-4cb4-89d3-e861ab6f1837 · outbound

This paper cites an unresolved cited work.

Elliptic orbifold lines and integrable hierarchies Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 1c458ae2-3cf7-40d1-a52c-32ba66f75530 · outbound

This paper cites Simple singularities and integrable hierarchies.

Elliptic orbifold lines and integrable hierarchies Simple singularities and integrable hierarchies

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 226fe360-2360-48d6-8f2f-d9610a3d1baf · outbound

This paper cites An integral structure in quantum cohomology and mirror symmetry for toric orbifolds.Adv.

Elliptic orbifold lines and integrable hierarchies An integral structure in quantum cohomology and mirror symmetry for toric orbifolds.Adv

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation a87da3b3-d971-4a71-a9eb-4dc5c81dfda7 · outbound

This paper cites Quantum cohomology and periods.Ann.

Elliptic orbifold lines and integrable hierarchies Quantum cohomology and periods.Ann

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 5e9a2dd1-a45f-4d4a-a7a8-f182dc1a1be9 · outbound

This paper cites Gromov–Witten theory of quotients of Fermat Calabi–Yau varieties.Memoirs of the American Mathematical Society, 269(1310):104, 2021.

Elliptic orbifold lines and integrable hierarchies Gromov–Witten theory of quotients of Fermat Calabi–Yau varieties.Memoirs of the American Mathematical Society, 269(1310):104, 2021

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation c887ec26-283f-408a-b7a0-cb5bfcc3caa4 · outbound

This paper cites American Mathematical Society, Providence, Rhode Island, USA, 1998.

Elliptic orbifold lines and integrable hierarchies American Mathematical Society, Providence, Rhode Island, USA, 1998

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation e0cde6c3-d178-4ea3-9817-0f65ed6f4dec · outbound

This paper cites Intersection theory on the moduli space of curves and the matrix Airy function.Commun.

Elliptic orbifold lines and integrable hierarchies Intersection theory on the moduli space of curves and the matrix Airy function.Commun

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation b0bb13ce-1494-4021-8c63-482596857737 · outbound

This paper cites Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds.Advances in Mathematics, 460:110046, 2025.

Elliptic orbifold lines and integrable hierarchies Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds.Advances in Mathematics, 460:110046, 2025

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 6501f810-0461-4bd6-b0ea-ad4303ecccb7 · outbound

This paper cites Hirota Quadratic Equations for the Extended Toda Hierarchy.Duke Math.

Elliptic orbifold lines and integrable hierarchies Hirota Quadratic Equations for the Extended Toda Hierarchy.Duke Math

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation fa3cc37c-c112-4fa4-933f-ad394c99dc18 · outbound

This paper cites Analyticity of the total ancestor potential in singularity theory.Advances in Mathematics, 255(1):217–241, 2014.

Elliptic orbifold lines and integrable hierarchies Analyticity of the total ancestor potential in singularity theory.Advances in Mathematics, 255(1):217–241, 2014

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 1baff5b7-e0cd-47a3-ac51-aeda73d59730 · outbound

This paper cites The phase factors in singularity theory.

Elliptic orbifold lines and integrable hierarchies The phase factors in singularity theory

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 65ca7cfa-a8f7-45d5-977b-5bce85e0fb36 · outbound

This paper cites Gromov-Witten theory of elliptic orbifold P^1 and quasi-modular forms.

Elliptic orbifold lines and integrable hierarchies Gromov-Witten theory of elliptic orbifold P^1 and quasi-modular forms

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-07-03T03:37:35.502491Z

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

Observation de63ca76-38bf-4331-8006-bdf248c67dd5 · outbound

This paper cites Primitive forms and vertex operators.

Elliptic orbifold lines and integrable hierarchies Primitive forms and vertex operators

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 0e05e203-f9db-4d3c-bb7b-9e39c38d4c1e · outbound

This paper cites The modular group for the total ancestor potential of Fermat simple elliptic singularities.Comm.

Elliptic orbifold lines and integrable hierarchies The modular group for the total ancestor potential of Fermat simple elliptic singularities.Comm

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation ac18d566-932d-4d03-9034-8265e15409b6 · outbound

This paper cites Gromov–Witten theory of Fano orb- ifold curves, Gamma integral structures and ADE-Toda hierarchies.Geometry and Topology, 20:2135–2218, 2016.

Elliptic orbifold lines and integrable hierarchies Gromov–Witten theory of Fano orb- ifold curves, Gamma integral structures and ADE-Toda hierarchies.Geometry and Topology, 20:2135–2218, 2016

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation e41d28ac-8bf8-4b6d-8a20-2d1bbcaa4415 · outbound

This paper cites Birkh¨ auser Boston, 1994.

Elliptic orbifold lines and integrable hierarchies Birkh¨ auser Boston, 1994

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation c2b2b9e8-43a1-4a05-a02d-1a3f6a483689 · outbound

This paper cites Extended affine root systems.Publ.

Elliptic orbifold lines and integrable hierarchies Extended affine root systems.Publ

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 66bb849c-f5da-4175-ab4b-211728cf6210 · outbound

This paper cites The structure of 2d semi-simple field theories.Invent.

Elliptic orbifold lines and integrable hierarchies The structure of 2d semi-simple field theories.Invent

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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Observation 7e5dfe17-9e7c-42bb-9be3-25d6f5064f50 · outbound

This paper cites Two-dimensional gravity and intersection theory on moduli space.Surveys in Diff.

Elliptic orbifold lines and integrable hierarchies Two-dimensional gravity and intersection theory on moduli space.Surveys in Diff

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T15:09:46.777056Z

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