Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:37:34.370366Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2507.05406.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:37:34.370366Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 3c129ac3-cb64-4969-b05b-75bdb2988885 · outbound
Phases in WLZZ Matrix Models Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a33158f9-2492-458d-835a-df1c647f7a0f · outbound
Phases in WLZZ Matrix Models Givental, math.AG/0008067
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1d0f8397-1a75-453e-b5f6-9681a9169336 · outbound
Phases in WLZZ Matrix Models Hurwitz numbers, matrix models and enumerative geometry
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3066966a-db71-4bff-a0a1-4ea4841ff38d · outbound
Phases in WLZZ Matrix Models Generation of Matrix Models by W-operators
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 739f4c7e-edcb-418e-8cc2-12427deefa14 · outbound
Phases in WLZZ Matrix Models Cut-and-Join operator representation for Kontsevich-Witten tau-function
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5dba74e3-bad2-4fbd-834e-5e11f1a19eff · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 61b6cbee-c90f-4f77-8289-b4c43e50fd10 · outbound
Phases in WLZZ Matrix Models Virasoro versus superintegrability. Gaussian Hermitian model
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 002c31c8-9981-43cd-80c4-c35d5ff31912 · outbound
Phases in WLZZ Matrix Models CFT approach to constraint operators for ($\beta$-deformed) hermitian one-matrix models
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76082b41-d7c9-4a49-90f6-2f62b7cbda43 · outbound
Phases in WLZZ Matrix Models Superintegrability for ($\beta$-deformed) partition function hierarchies with $W$-representations
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 38edcbb7-82bc-4370-bc02-88273f8883d2 · outbound
Phases in WLZZ Matrix Models Commutative families in $W_\infty$, integrable many-body systems and hypergeometric $\tau$-functions
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 367fa615-dbec-4b42-918b-c0471da5aacf · outbound
Phases in WLZZ Matrix Models Interpolating Matrix Models for WLZZ series
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7717b0dd-afca-4805-9f27-b1263836d628 · outbound
Phases in WLZZ Matrix Models On KP-integrable skew Hurwitz $\tau$-functions and their $\beta$-deformations
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51a2a4ba-8df7-4f3e-b50e-ea0cff86ce15 · outbound
Phases in WLZZ Matrix Models $(q,t)$-deformed (skew) Hurwitz $\tau$-functions
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53272f50-e7d2-46aa-872c-ba595cc8c58a · outbound
Phases in WLZZ Matrix Models The affine Yangian of $\mathfrak{gl}_1$ revisited
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49f0708e-b45a-48a1-9fc5-220af2045484 · outbound
Phases in WLZZ Matrix Models W-symmetry, topological vertex and affine Yangian
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17fdb0a6-eb9f-48b3-bc79-22b204409acb · outbound
Phases in WLZZ Matrix Models Commutative families in DIM algebra, integrable many-body systems and $q,t$ matrix models
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae2e4130-fa8c-4105-bc42-dd6fa005fd15 · outbound
Phases in WLZZ Matrix Models Generalization and Deformation of Drinfeld quantum affine algebras
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c4928fb-1dff-45b3-9e8a-4112cfb16b15 · outbound
Phases in WLZZ Matrix Models Miki, J.Math.Phys
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 71edf5eb-ef1d-433c-b6ba-fb8718317d4f · outbound
Phases in WLZZ Matrix Models Eisenstein series and quantum affine algebras
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c8e577b-4ad8-4011-9d4d-0edd881d1100 · outbound
Phases in WLZZ Matrix Models On the Hall algebra of an elliptic curve, I
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 458a9430-c5c6-48e4-b1f0-c7b3e067fa5f · outbound
Phases in WLZZ Matrix Models Drinfeld realization of the elliptic Hall algebra
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff736e2e-fcc6-466c-9ac4-3e19c6adfaff · outbound
Phases in WLZZ Matrix Models Finite type modules and Bethe Ansatz for quantum toroidal gl(1)
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e82fd544-3029-4093-81f6-9015112fa821 · outbound
Phases in WLZZ Matrix Models David, Mod.Phys.Lett
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a944c002-42a9-4deb-966b-305b602b368e · outbound
Phases in WLZZ Matrix Models Ambjørn, Yu
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 66e9c6a7-442d-48d4-9937-12b02967b8d3 · outbound
Phases in WLZZ Matrix Models Mironov, A
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3bc6d2b7-2bed-45f1-b9a7-60bd7705df04 · outbound
Phases in WLZZ Matrix Models Itoyama, Y
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d06cf666-3b81-4507-aabc-a9fac160df12 · outbound
Phases in WLZZ Matrix Models Partition Functions of Matrix Models as the First Special Functions of String Theory I. Finite Size Hermitean 1-Matrix Model
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 661e9d91-961b-4672-ac4b-66fc33d32283 · outbound
Phases in WLZZ Matrix Models Instantons and Merons in Matrix Models
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b05f207b-bc7c-485a-8dc8-a3ee07cf9fa3 · outbound
Phases in WLZZ Matrix Models Matrix models vs. Seiberg-Witten/Whitham theories
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 98b3fb31-dd6d-47b4-bd5b-9ec4ca6391ff · outbound
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6a8bbb9e-6188-43e1-8617-dc7900ef0a06 · outbound
Phases in WLZZ Matrix Models N=1 SUSY inspired Whitham prepotentials and WDVV
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6300acb9-d733-46e7-a99f-c97637418c60 · outbound
Phases in WLZZ Matrix Models Matrix Models vs. Matrix Integrals
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 598378ce-3e06-4103-af0e-346720af0e8f · outbound
Phases in WLZZ Matrix Models On the complete perturbative solution of one-matrix models
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c82c47a3-4145-4eec-8399-843264c6ec52 · outbound
Phases in WLZZ Matrix Models Sum rules for characters from character-preservation property of matrix models
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 890e6209-ff3a-43a0-b357-737524b53187 · outbound
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9183151-3027-4843-8a88-c09906d20c2d · outbound
Phases in WLZZ Matrix Models Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 619fe434-3118-4c46-bc9a-794f544feee4 · outbound
Phases in WLZZ Matrix Models Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d3ce3e58-8c5f-4aa7-8a98-2e09fcaf2f7c · outbound
Phases in WLZZ Matrix Models Breakdown of universality in multi-cut matrix models
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cff98b0d-f71a-4cc0-be61-3fa681d6399c · outbound
Phases in WLZZ Matrix Models Gravitational corrections in supersymmetric gauge theory and matrix models
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fdc58d1e-b3b3-4aea-be99-b71f4e29b6a1 · outbound
Phases in WLZZ Matrix Models Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation db447199-5b6d-41de-8ffc-719d31448fe2 · outbound
Phases in WLZZ Matrix Models BGWM as Second Constituent of Complex Matrix Model
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ba242747-d37c-4bc3-bed7-cb7df78ff695 · outbound
Phases in WLZZ Matrix Models Popolitov, Towards mixed phase correlators in monomial matrix models, being prepared for publication
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4f705a3e-d927-4e74-8e6c-05ddc6793e75 · outbound
Phases in WLZZ Matrix Models Two $\beta$-ensemble realization of $\beta$-deformed WLZZ models
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17813309-9c42-4ab4-8f17-f7b93413c64f · outbound
Phases in WLZZ Matrix Models $\beta$-WLZZ models from $\beta$-ensemble integrals directly
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f05b62d-97ff-44b2-9774-628570c58ede · outbound
Phases in WLZZ Matrix Models Many-body integrable systems implied by WLZZ models
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 357b908d-6ad7-41e8-be5b-512d6c42e8e2 · outbound
Phases in WLZZ Matrix Models The number of ramified coverings of the sphere by the torus and surfaces of higher genera
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7220458-6bec-4af8-bc6b-0f8f10830fc5 · outbound
Phases in WLZZ Matrix Models Complete Set of Cut-and-Join Operators in Hurwitz-Kontsevich Theory
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2004da78-8c70-472d-8578-bc00c09eac9c · outbound
Phases in WLZZ Matrix Models I, American Journal of Mathematics (1958) 241-310
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3bf5e5e1-1748-492a-874d-762c181acb18 · outbound
Phases in WLZZ Matrix Models Itzykson, J.-B
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d918dfd1-e250-4415-abae-fab17409436e · outbound
Phases in WLZZ Matrix Models New Insights into Superintegrability from Unitary Matrix Models
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3be003a5-65eb-4b35-92f2-4cfc5d73129c · outbound
Phases in WLZZ Matrix Models On KP-integrable Hurwitz functions
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 813b04d6-ec94-4cd2-8c2d-e5c4d570c7ee · outbound
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ca4fa6db-db6f-41db-ac80-1768ce6330e1 · outbound
Phases in WLZZ Matrix Models Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9fb5bcd0-9ea1-4a69-aeb3-4fd7d8e9e681 · outbound
Phases in WLZZ Matrix Models Unitary Integrals and Related Matrix Models
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f3a7bf1-d3d5-4857-b065-6e94cc590bac · outbound
Phases in WLZZ Matrix Models Marshakov, A
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4a4abeca-6ae1-4274-a6fb-e7acbaae84fa · outbound
Phases in WLZZ Matrix Models Unitary matrix integrals in the framework of Generalized Kontsevich Model. I. Brezin-Gross-Witten Model
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ec85a89c-e596-450a-b710-2a4e666c9d8e · outbound
Phases in WLZZ Matrix Models $W_{1+\infty}$ and $\widetilde W$ algebras, and Ward identities
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a1809a17-482e-4b40-9cc4-beb1564199b4 · outbound
Phases in WLZZ Matrix Models Generalized $ \widetilde{W} $ algebras
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f57fc597-1eb8-4c4b-b138-fad6db0905dc · outbound
Phases in WLZZ Matrix Models Check-Operators and Quantum Spectral Curves
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 051255b7-fe47-4b6f-9fcd-c1286e45643f · outbound
Phases in WLZZ Matrix Models Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e62cf3ff-0926-4e1b-a9c5-bc1adaeb9f37 · outbound
Phases in WLZZ Matrix Models Spectral curves and $W$-representations of matrix models
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.