Paper Citation Record · LEDGER

Spectral Curves with Complex Multiplication in Hermitian Matrix Models

As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2509.16997.

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

pith.paper-citation-record.v1
2509.16997 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:59:00.124306Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

31 of 31 outbound references displayed

verified exact3
verified fuzzy10
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36d0f270-d2d5-4ccc-927d-4f775597be4b · outbound

This paper cites Bourgade and J.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Bourgade and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.633625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6c9577f6-1c1d-4e12-8b7c-67568f158342 · outbound

This paper cites Brézin, C.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Brézin, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.621283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ed56af88-faf8-487d-8df6-859e5550c947 · outbound

This paper cites Brézin and V.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Brézin and V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.608974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ee956113-f602-4c76-b04f-1b2bb0489cdd · outbound

This paper cites Free energy topological expansion for the 2-matrix model.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Free energy topological expansion for the 2-matrix model

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T15:59:00.006668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c92a992-d7f0-41a8-8bf1-bb9022ba5957 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.596460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 31a4f512-510c-4874-bf92-4eaf4d8c1bdf · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.583368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f7c43117-6cf9-4007-824f-0641c4c9bfaa · outbound

This paper cites Di Francesco, P.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Di Francesco, P

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.570848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b8d77066-bad4-4026-bc29-07001ed63e17 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.557919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 10599302-8220-4c71-8844-dcf3cc7bc973 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.544971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a7337e03-486d-412f-becd-34aa395de8c2 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-15T15:59:00.334069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2e50638f-cd60-4db4-a10d-b2420efae56e · outbound

This paper cites All genus correlation functions for the hermitian 1-matrix model.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models All genus correlation functions for the hermitian 1-matrix model

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T15:59:00.042659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa0d4806-51d1-4d21-95c3-9bf0f34a446f · outbound

This paper cites Random matrices.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Random matrices

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T15:59:00.047330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Invariants of algebraic curves and topological expansion.

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.

Observation d96eecba-f8e0-41de-88ce-ee21c7d6b3e9 · outbound

This paper cites Ginsparg and G.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Ginsparg and G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.532156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 75923daa-a9b9-4ace-b8ee-46ab346fe95b · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.519349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 38ea1924-1d0b-4352-92f4-4ce4d92f09f8 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.505916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 96a354ba-39e9-4970-b0b9-48503ae8e2fd · outbound

This paper cites Rational Conformal Field Theories and Complex Multiplication.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Rational Conformal Field Theories and Complex Multiplication

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T15:59:00.072737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c21b4601-81b3-43e1-98ef-07691d99d6a6 · outbound

This paper cites Haake.Quantum Signatures of Chaos.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Haake.Quantum Signatures of Chaos

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.492586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 74bf9f67-06f5-4ac6-9c51-96245ef204d6 · outbound

This paper cites Hosono, B.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Hosono, B

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.478427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d04aace4-dd3e-44af-9e25-924a42dd7e35 · outbound

This paper cites String Theory in Two Dimensions.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models String Theory in Two Dimensions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T15:59:00.089810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18c887ea-38cd-47e3-8a34-3830c1f9e05a · outbound

This paper cites Lang.Number Theory III: Diophantine Geometry, volume 60 ofEncyclopaedia of Mathematical Sciences.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Lang.Number Theory III: Diophantine Geometry, volume 60 ofEncyclopaedia of Mathematical Sciences

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.465686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6ec1fa67-d35c-4881-b844-0c0dac0a47b8 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.451891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dc85ac02-d32f-47f2-a333-6f349db10e69 · outbound

This paper cites Arithmetic and Attractors.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Arithmetic and Attractors

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T15:59:00.102962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dff9fe3-17a5-47f6-ae24-ffa3d8deda84 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.437182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation faab582e-69b2-4b55-8e57-adf94b4f0b00 · outbound

This paper cites Shimura and Y.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Shimura and Y

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.423887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3108b612-e905-44cd-abb1-26bf85a2e131 · outbound

This paper cites The L-functions and modular forms database.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models The L-functions and modular forms database

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:59:00.409648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e64e662e-c906-4e71-8d70-f9c0e00950d8 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.396082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 719357ca-2dec-4f67-8c80-c3da3218ac89 · outbound

This paper cites an unresolved cited work.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:59:00.381735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3bedcb0c-9977-4db7-b6e4-dc730e2c7869 · outbound

This paper cites Large Random Matrices: Eigenvalue Distribution.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Large Random Matrices: Eigenvalue Distribution

Reference 1992

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:59:00.353911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7dc04bfc-b63b-410c-a4d5-54d8f382f08b · outbound

This paper cites Lectures on 2D gravity and 2D string theory (TASI 1992).

Spectral Curves with Complex Multiplication in Hermitian Matrix Models Lectures on 2D gravity and 2D string theory (TASI 1992)

Reference 1993

Resolution: unresolved; no resolver link, observed 2026-08-15T15:59:00.060358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a82d3efd-10b7-4343-8516-17ef1b7d2c55 · outbound

This paper cites c=2 Rational Toroidal Conformal Field Theories via the Gauss Product.

Spectral Curves with Complex Multiplication in Hermitian Matrix Models c=2 Rational Toroidal Conformal Field Theories via the Gauss Product

Reference 2003

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:59:00.191702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.