Paper Citation Record · LEDGER

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.00451.

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

pith.paper-citation-record.v1
2506.00451 v1

Coverage vector

measured 30 of 30 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T12:19:42.264866Z

measured 30 of 30 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

30 of 30 outbound references displayed

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verified fuzzy27
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External citation measurements

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Outbound references

Observation 17ccad4d-2626-4b62-b23f-369ef1d3c667 · outbound

This paper cites Buryak--Okounkov formula for the n -point function and a new proof of the Witten conjecture.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Buryak--Okounkov formula for the n -point function and a new proof of the Witten conjecture

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:47.418327Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0015d36f-97d9-46c2-a6e5-9cc52e7c1168 · outbound

This paper cites KdV solves BKP.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy KdV solves BKP

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:47.197231Z

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Observation 4831ba6b-49bd-436f-90ea-0961505e796a · outbound

This paper cites Correlation functions of the KdV hierarchy and applications to intersection numbers over M _ g,n.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Correlation functions of the KdV hierarchy and applications to intersection numbers over M _ g,n

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:47.004169Z

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Observation edb77b0d-7f4a-43a8-9548-6ed6c11ef1ec · outbound

This paper cites Simple Lie algebras, Drinfeld-Sokolov hierarchies, and multi-point correlation functions.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Simple Lie algebras, Drinfeld-Sokolov hierarchies, and multi-point correlation functions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:46.820305Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d3831dbe-7959-406c-8a8a-ab92826f9a24 · outbound

This paper cites Integrals of -classes over double ramification cycles.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Integrals of -classes over double ramification cycles

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:46.601758Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1a154589-de35-4078-ad58-71afcd990439 · outbound

This paper cites Geometric interpretation of Zhou’s explicit formula for the Witten--Kontsevich tau function.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Geometric interpretation of Zhou’s explicit formula for the Witten--Kontsevich tau function

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:46.415608Z

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Observation 8853bbf3-2aa3-44f8-a0e4-a49a3ee37f77 · outbound

This paper cites Tau-functions for the Ablowitz--Ladik hierarchy: the matrix-resolvent method.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Tau-functions for the Ablowitz--Ladik hierarchy: the matrix-resolvent method

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:46.233313Z

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Observation b0ff818a-ed9b-4a47-be32-4e2f9298ce5f · outbound

This paper cites Transformation groups for soliton equations: IV.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Transformation groups for soliton equations: IV

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:46.044381Z

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Observation 70851f06-a800-4968-b09d-b0787cd8137f · outbound

This paper cites Lie algebras and equations of Korteweg-de Vries type.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Lie algebras and equations of Korteweg-de Vries type

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:45.880259Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8e8033a0-cb7b-4ca1-b907-bbb1df6bfa29 · outbound

This paper cites Generating series for GUE correlators.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Generating series for GUE correlators

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:45.692612Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cdfafce2-f937-4647-82ce-d57c9636f046 · outbound

This paper cites On tau-functions for the KdV hierarchy.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy On tau-functions for the KdV hierarchy

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:45.547157Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7707182e-5950-4ad1-a290-2f64405eceef · outbound

This paper cites Solitons and infinite dimensional Lie algebras.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Solitons and infinite dimensional Lie algebras

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:45.362171Z

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Observation 46583842-3e9e-40dc-8ffb-d8992210681d · outbound

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

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Intersection theory on the moduli space of curves and the matrix Airy function

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:45.111542Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5e3e53a0-d04e-47ec-9f13-27385544dc55 · outbound

This paper cites Modular and conformal invariance constraints in representation theory of affine algebras.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Modular and conformal invariance constraints in representation theory of affine algebras

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:44.887848Z

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Observation 27c90a60-91b4-4e0f-85e1-97a3497bad24 · outbound

This paper cites New properties of the intersection numbers on moduli spaces of curves.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy New properties of the intersection numbers on moduli spaces of curves

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:44.645141Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d08569b5-f682-4e76-ad0a-07b474cb1d60 · outbound

This paper cites The n-point functions for intersection numbers on moduli spaces of curves.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy The n-point functions for intersection numbers on moduli spaces of curves

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:44.368441Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e0d88e66-4137-4f78-aa3e-d538d3bee74a · outbound

This paper cites A proof of the Faber intersection number conjecture.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy A proof of the Faber intersection number conjecture

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:44.283945Z

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Observation c0955e85-9352-41be-bc80-9d3776334190 · outbound

This paper cites Solitons: Differential equations, symmetries and infinite dimensional algebras , volume 135.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Solitons: Differential equations, symmetries and infinite dimensional algebras , volume 135

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:44.123830Z

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Observation 6f5c7a34-d635-4581-afae-a9488ef03d57 · outbound

This paper cites Generating functions for intersection numbers on moduli spaces of curves.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Generating functions for intersection numbers on moduli spaces of curves

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:43.953926Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5fb0df5c-835c-4383-a555-1283aa0d8e9c · outbound

This paper cites Soliton equation as dynamical systems on a infinite dimensional grassmann manifolds.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Soliton equation as dynamical systems on a infinite dimensional grassmann manifolds

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:43.793431Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7f653517-8d63-4e19-a01a-7c30f9568193 · outbound

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

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Two-dimensional gravity and intersection theory on moduli space

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:43.644469Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cec4d9f9-0b95-4e30-ac3b-4608caa24c90 · outbound

This paper cites BKP hierarchy, affine coordinates, and a formula for connected Bosonic \(n\)-point functions.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy BKP hierarchy, affine coordinates, and a formula for connected Bosonic \(n\)-point functions

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:43.506832Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0dedbd86-0708-4ea9-8664-a06f2dc18ae6 · outbound

This paper cites Connected \((n, m)\)-point functions of diagonal 2-BKP tau-functions and spin double hurwitz numbers.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Connected \((n, m)\)-point functions of diagonal 2-BKP tau-functions and spin double hurwitz numbers

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:43.358057Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dca3b9e6-71e9-4cf3-b4ac-c8dc54779652 · outbound

This paper cites Diagonal tau-functions of 2d toda lattice hierarchy, connected \((n, m)\)-point functions, and double hurwitz numbers.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Diagonal tau-functions of 2d toda lattice hierarchy, connected \((n, m)\)-point functions, and double hurwitz numbers

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:43.220991Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2b9c617f-4573-4d03-b75a-4ce80bfee28b · outbound

This paper cites On tau-functions for the Toda lattice hierarchy.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy On tau-functions for the Toda lattice hierarchy

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:43.032323Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b8f394e0-9a89-4e26-b6ac-7c0bc33326ff · outbound

This paper cites Polynomial solutions of the BKP hierarchy and projective representations of symmetric groups.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Polynomial solutions of the BKP hierarchy and projective representations of symmetric groups

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:42.866856Z

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Observation 845075b6-d424-4a0d-a63b-d9e555dbf29e · outbound

This paper cites Explicit Formula for Witten-Kontsevich Tau-Function.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Explicit Formula for Witten-Kontsevich Tau-Function

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T12:19:41.857194Z

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Unavailable: canonical work link unavailable.

Observation c3613b74-d6e0-4baa-9bff-f7d877532029 · outbound

This paper cites Topological recursions of eynard--orantin type for intersection numbers on moduli spaces of curves.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Topological recursions of eynard--orantin type for intersection numbers on moduli spaces of curves

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:19:42.729730Z

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Observation 26675bad-9348-4f62-923d-ef9cf6a02d33 · outbound

This paper cites Emergent Geometry and Mirror Symmetry of A Point.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Emergent Geometry and Mirror Symmetry of A Point

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T12:19:42.128030Z

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Unavailable: canonical work link unavailable.

Observation 543ded68-c8e3-4c07-bb5d-2f1d81d6b224 · outbound

This paper cites Fermionic Computations for Integrable Hierarchies.

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy Fermionic Computations for Integrable Hierarchies

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:19:42.535892Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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