Pith. sign in

Paper Citation Record · LEDGER

Invariants of algebraic curves and topological expansion

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 33 inbound Pith citation observations for arXiv:math-ph/0702045.

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

pith.paper-citation-record.v1
math-ph/0702045 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 33 of 33 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:52:32.667881Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T05:39:40.238991Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d837fe0b-35e3-4d0e-8bd6-689bea8b6b91 · inbound

Grothendieck's Dessins d'Enfants in a Web of Dualities. II cites this paper.

Grothendieck's Dessins d'Enfants in a Web of Dualities. II Invariants of algebraic curves and topological expansion

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-05-25T12:47:00.146365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-25T12:45:50.795800Z digest=sha256:dcb36a57b416d3e972fc90317e911d7fb16ceee6734de1eeff83128fe6aa01b4

Observation a4d2fcc9-9d8e-4453-96f7-4996af300ee3 · inbound

On explicit formulae of LMOV invariants cites this paper.

On explicit formulae of LMOV invariants Invariants of algebraic curves and topological expansion

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T11:46:07.808500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:46:07.808500Z digest=sha256:8e4c592f4d92a6042016486dbf071151cbda997150d00e73b688444ac55dde71

Observation 086d9f16-6ca3-4479-b2c5-a4b91559c76a · inbound

All the D-Branes of Resurgence cites this paper.

All the D-Branes of Resurgence Invariants of algebraic curves and topological expansion

Reference 89

Resolution
verified exact
local_arxiv, observed 2026-05-24T10:29:21.045769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-24T10:28:03.979345Z digest=sha256:259e987fafea470e9c239bd19aeaaeac8f82cd19ad5ca7c02c33f8a3b1de46e9

Observation 1a3ac34d-9eab-45ba-b367-4337ae004823 · inbound

Strings from Feynman Diagrams cites this paper.

Strings from Feynman Diagrams Invariants of algebraic curves and topological expansion

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T13:16:16.487374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:16:16.487374Z digest=sha256:04a0ae0565354d37579cd57998ddd263a11167caa31f2a381a212fa448fa7f8b

Observation 18abd982-6cbe-43ef-b9d5-c2895a308c01 · inbound

Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions cites this paper.

Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions Invariants of algebraic curves and topological expansion

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T23:15:12.114687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:15:12.114687Z digest=sha256:94e6c678349a5cb4e843f2fe080f81832d6fdedb9db20600bf0bf3e50049712e

Observation 6f68742a-3471-48ad-8160-20620f134167 · inbound

Quantum Curves in the Context of Symplectic Duality cites this paper.

Quantum Curves in the Context of Symplectic Duality Invariants of algebraic curves and topological expansion

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:32.667881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:32.667881Z digest=sha256:8c31b963e5be29cb3e1921aac6f3016f2c6ce58ef37b95666fe0f4b0e96ca028

Observation cfa41369-6d5d-42c4-8f55-5a8610c6dd8d · inbound

de Sitter JT gravity from double-scaled SYK cites this paper.

de Sitter JT gravity from double-scaled SYK Invariants of algebraic curves and topological expansion

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-15T22:09:29.554398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:09:29.554398Z digest=sha256:e4924dce3688162cd9b362282df734880d2a8ccf74b25b1e626a6daff67eab49

Observation ac921839-b924-4711-8de0-766368327678 · inbound

Surgery and statistics in 3d gravity cites this paper.

Surgery and statistics in 3d gravity Invariants of algebraic curves and topological expansion

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-05-19T11:07:15.687264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-19T11:03:09.730307Z digest=sha256:67fe992349e36780577371df14654fb7c474c3843a238a05c0b40bea35c9efb3

Observation 16580208-8fa0-4188-b018-719ac8ed4c1b · inbound

$x-y$ swap for $(2,2p+1)$ minimal string cites this paper.

$x-y$ swap for $(2,2p+1)$ minimal string Invariants of algebraic curves and topological expansion

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T04:59:15.555571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:59:15.555571Z digest=sha256:8655503bd51a98e9556a8543f7419ae0366d84836b3185121bd3908804c97315

Observation 67cddb6c-6622-464b-b68c-644b90d79340 · inbound

Tropicalized quantum field theory and global tropical sampling cites this paper.

Tropicalized quantum field theory and global tropical sampling Invariants of algebraic curves and topological expansion

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-05-18T22:36:53.466653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-18T22:35:04.838307Z digest=sha256:6de40fbcb6905dab8f434babc137e3d35757815126d3d5b65187e1d0318b40bd

Observation c59a1af2-7af2-4546-8802-0f0f04b56953 · inbound

Cap amplitudes in random matrix models cites this paper.

Cap amplitudes in random matrix models Invariants of algebraic curves and topological expansion

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-05-18T20:01:50.239876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-18T19:58:30.610334Z digest=sha256:4dff7d5fe24318097e5e9c9ed10ae53209b9b895d740470f38b5c9dff1846b6b

Observation 48b064c7-67fd-4151-8376-12bab810a4e5 · inbound

Spectral Curves with Complex Multiplication in Hermitian Matrix Models cites this paper.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Invariants of algebraic curves and topological expansion

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T15:59:00.051971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:59:00.051971Z digest=sha256:1ea7096fe55cc53f19d1d2edc0d33c32ee35ea2337a08d4e109fb7e509da1e98

Observation 2e276f31-f550-46cf-92d3-3d7d9deaa64f · inbound

Dynamical Triangulations for 2D Pure Gravity and Topological Recursion cites this paper.

Dynamical Triangulations for 2D Pure Gravity and Topological Recursion Invariants of algebraic curves and topological expansion

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-05-21T22:34:24.401674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-21T22:31:34.962775Z digest=sha256:691a2c34c8792442ebff94b505db2df81060734a4f373eba0097a7d005ee504f

Observation 2c9829e6-99ea-4264-8d19-5750dc883e20 · inbound

Mind the crosscap: $\tau$-scaling in non-orientable gravity and time-reversal-invariant systems cites this paper.

Mind the crosscap: $\tau$-scaling in non-orientable gravity and time-reversal-invariant systems Invariants of algebraic curves and topological expansion

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:52:39.013617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-18T13:52:17.827082Z digest=sha256:469c01f33f0bb4186bb0241cac18972539b6dd01a986e8b1042605e5f09bba3d

Observation 9705ac6e-a838-477b-b3f2-74fcd8b4e454 · inbound

Multicritical Dynamical Triangulations and Topological Recursion cites this paper.

Multicritical Dynamical Triangulations and Topological Recursion Invariants of algebraic curves and topological expansion

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-05-21T17:20:25.489752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-21T17:16:20.025841Z digest=sha256:e6558e2b1df9635cf68a62fd3e0946700c0c0ec8c29bada9842db982f11572bf

Observation fcb48dbe-b77d-4afb-a6f0-aa4b4e1ac458 · inbound

Resolving Black Hole Singularities in Jackiw-Teitelboim Gravity cites this paper.

Resolving Black Hole Singularities in Jackiw-Teitelboim Gravity Invariants of algebraic curves and topological expansion

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-02T20:04:50.097777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:04:50.097777Z digest=sha256:caf60637b24073be9cd9cd80f9eda690524e8e084c13dd60c3af74678666c74f

Observation f55cb117-1bfb-4129-9c4b-070e316274f0 · inbound

Recursive-algebraic solution of the closed string tachyon vacuum equation cites this paper.

Recursive-algebraic solution of the closed string tachyon vacuum equation Invariants of algebraic curves and topological expansion

Reference 74

Resolution
verified exact
local_arxiv, observed 2026-05-13T23:23:26.568757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-13T23:21:05.704489Z digest=sha256:e4d5a15e60adb38563697b519ab6925eec46e03f7e25480b95096d14e2578f32

Observation 2208d131-1888-4726-8e9d-b1da9e8e9c4b · inbound

Recursive-algebraic solution of the closed string tachyon vacuum equation cites this paper.

Recursive-algebraic solution of the closed string tachyon vacuum equation Invariants of algebraic curves and topological expansion

Reference 74

Resolution
verified exact
local_arxiv, observed 2026-05-21T10:09:59.328672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-21T10:06:37.809512Z digest=sha256:ba396aa81bfb7e9e8ac2e3459de09e312bd4a07ccf4c812d6eec6b33a170491f

Observation 89c48810-e18c-4a1f-9244-135b1e11f29e · inbound

$c=1$ strings as a matrix integral cites this paper.

$c=1$ strings as a matrix integral Invariants of algebraic curves and topological expansion

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:45:51.343733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-10T18:53:59.157473Z digest=sha256:bfdb9652eea5b1247eae2b51d600f04eebf500bfa3d93e75a82c50ee0e30972d

Observation 276ffbde-585f-494a-8ffb-9e92bbeeab7a · inbound

Universal formulae for correlators of a broad class of models cites this paper.

Universal formulae for correlators of a broad class of models Invariants of algebraic curves and topological expansion

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-11T10:56:06.203800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-10T15:14:26.116280Z digest=sha256:41523718bc76994526f22553a5a69c681ff3ac40dd6046be258ed7e6348d3a7a

Observation a2cdf902-22da-4867-ab49-c00d35723b49 · inbound

Quantum chaos and the holographic principle cites this paper.

Quantum chaos and the holographic principle Invariants of algebraic curves and topological expansion

Reference 76

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:45:57.785294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-10T16:31:53.237639Z digest=sha256:235e1121a135ae6ef9fa078f196355ff15943fe772323ba24ac1a260dc094fef

Observation cf5c5a9d-2229-42cc-8c33-37c6d968790f · inbound

The Super Virasoro Minimal String from 3d Supergravity cites this paper.

The Super Virasoro Minimal String from 3d Supergravity Invariants of algebraic curves and topological expansion

Reference 80

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:26:16.177498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-07T15:22:35.821392Z digest=sha256:bafb4d821431eda75ff97d0a769bd6759c3f33d5917a190c9414157d85c54229

Observation b394974e-cc40-4ab2-aad5-5f63d33fa548 · inbound

Wormholes and Averaging over N cites this paper.

Wormholes and Averaging over N Invariants of algebraic curves and topological expansion

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-05-15T02:58:34.127750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-15T02:57:37.605499Z digest=sha256:af653f490a8823d81926c0b17d97add5ff208a213399b1d1f0e40e1d2717cd74

Observation 1c68ec60-1a1a-4768-b3a2-b087f40dc517 · inbound

Ramond from Random: Weil-Petersson Volumes for Super-Riemann surfaces with NS Boundaries and R Punctures cites this paper.

Ramond from Random: Weil-Petersson Volumes for Super-Riemann surfaces with NS Boundaries and R Punctures Invariants of algebraic curves and topological expansion

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-07-03T03:27:36.091519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-27T15:15:41.074875Z digest=sha256:2ca6938f4dc8d810f1cf00cc86ddbc00e4067c2fd807e1604e2148d33efd8f01

Observation 767b8d5c-a561-4197-bd9e-3ae00188639c · inbound

$N=1$ Supersymmetry, Weil-Petersson Volume Recursion, and a Spectral Curve cites this paper.

$N=1$ Supersymmetry, Weil-Petersson Volume Recursion, and a Spectral Curve Invariants of algebraic curves and topological expansion

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-07-04T05:39:40.240481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-26T15:46:50.760347Z digest=sha256:56fc8cb540b9f1c1480836aeee36f1d580bf4006e1c5acd7b3e2564ed5209352

Observation 872b7892-b464-41dd-9c81-2f6443010228 · inbound

Universal Correlators on Exponentially Ramified Spectral Curves cites this paper.

Universal Correlators on Exponentially Ramified Spectral Curves Invariants of algebraic curves and topological expansion

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T17:18:48.150643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T17:18:48.150643Z digest=sha256:b4a284667bfc32c4eeb7ce51409a57d41d2e5d465b739c0a371cd9803a78c4e3

Observation 2de4097f-a354-4e5d-b630-3f5abdf73cd3 · inbound

The Runkel-Watts string cites this paper.

The Runkel-Watts string Invariants of algebraic curves and topological expansion

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-01T12:47:52.138239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T12:47:52.138239Z digest=sha256:3540e2ffdfa2c5923c3e99b75952889787b2dd8e15bbf6e53543d6bc6c015e29

Observation 62054406-6302-40f8-af00-658314dff772 · inbound

Aspects of Closed Matricial Worlds cites this paper.

Aspects of Closed Matricial Worlds Invariants of algebraic curves and topological expansion

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-01T07:18:15.225393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:18:15.225393Z digest=sha256:6139ba58e272d7a15d1818c38a884072063db121b5b09415d425df2f9801c079

Observation 38b19ab8-f71d-4a22-9175-d537efece611 · inbound

A bijective topological recursion for maps cites this paper.

A bijective topological recursion for maps Invariants of algebraic curves and topological expansion

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-04T00:45:30.140724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T00:45:30.140724Z digest=sha256:bd80526d5ebbe8e03c4d60bc0bf62b1c77b56f356063005728f23f35c76f2c4f

Observation 9c45ce3c-db38-477d-ba70-fcfdc5904394 · inbound

A bijective topological recursion for maps cites this paper.

A bijective topological recursion for maps Invariants of algebraic curves and topological expansion

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-05T04:33:30.585969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T04:33:30.585969Z digest=sha256:a2be6425dda7ecb11d51ae390b8bc9a4f9525d7024f33c25ee3be1d9d33adb7b

Observation 57259d56-7e74-47ac-8e94-d0f51319545b · inbound

An explicit four-corner dictionary for (2,p) minimal Liouville gravity cites this paper.

An explicit four-corner dictionary for (2,p) minimal Liouville gravity Invariants of algebraic curves and topological expansion

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T04:37:11.908476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:37:11.908476Z digest=sha256:a759662f8498f1ebe8d51875e3f23c29b0389b8a8570aca50f8ab1921f158a5c

Observation bd8d6f96-af01-4f90-a4f0-3c2503626068 · inbound

Conifold Gap Theorem for Topological Recursion cites this paper.

Conifold Gap Theorem for Topological Recursion Invariants of algebraic curves and topological expansion

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-16T00:41:39.440511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:41:39.440511Z digest=sha256:f99a9560315cdd3132743ccde60841611c057946c3e9c5cbf43febb0fda388f3

Observation e3e9d730-69e6-455a-999d-8e68a5ed2f37 · inbound

Quantum Airy Structures and Matrix Models: a supercurrent approach cites this paper.

Quantum Airy Structures and Matrix Models: a supercurrent approach Invariants of algebraic curves and topological expansion

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T00:20:31.493774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:20:31.493774Z digest=sha256:938e6824f9b9bc931dc472d29b88b0c4c18f1f6411cc8c9159e8cdb366f69764