Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T21:38:46.379736Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2508.08426.
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 2026-08-05T21:38:46.379736Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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
47 of 47 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d0b54315-ca62-4d42-83c1-91a64fd3f4fd · outbound
Dubrovin-Natanzon divisors on MM-curves Rational degenerations of M -curves, totally positive Grassmannians and KP–solitons
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bce90e38-f354-49bf-82c2-3f91237fbffa · outbound
Dubrovin-Natanzon divisors on MM-curves Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spec- tral curves corresponding to GrTP(2, 4)
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6cf7dc62-2bb6-4937-af22-689ce465c852 · outbound
Dubrovin-Natanzon divisors on MM-curves Reducible M -curves for Le-networks in the totally-nonnegative Grassmannian and KP–II multiline solitons
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3f723b04-b5f7-4e75-9054-2ecabfae46e2 · outbound
Dubrovin-Natanzon divisors on MM-curves Real regular KP divisors on M-curves and totally non-negative Grassmannians
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 51dd846c-808d-49d7-b3d5-7fb16743f4fd · outbound
Dubrovin-Natanzon divisors on MM-curves Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmanni- ans
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2d8326a9-cf9c-4b92-9e5d-735025c0d3e2 · outbound
Dubrovin-Natanzon divisors on MM-curves Geometric Nature of Relations on Plabic Graphs and Totally Non-negative Grassmannians
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e9207882-52e6-4e39-baa7-2dada976f6a9 · outbound
Dubrovin-Natanzon divisors on MM-curves Nonlinear shallow ocean-wave soliton interactions on flat beaches
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7bbf4b9b-b01e-4ecc-bf94-147d0aa1a4a8 · outbound
Dubrovin-Natanzon divisors on MM-curves Theta sur- faces
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d8ee5944-72e5-4222-ba50-bc08cd2e4cee · outbound
Dubrovin-Natanzon divisors on MM-curves KP solitons from tropical limits
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e9aaa489-b49b-4f28-8659-de214cb0fc97 · outbound
Dubrovin-Natanzon divisors on MM-curves Canonical maps of pointed nodal curves,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4e48abf1-3a7e-493d-8285-4eebac987e7e · outbound
Dubrovin-Natanzon divisors on MM-curves Topologically trivial bundles on curves with the simplest singularities
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 81c3ed7c-18d1-4d43-80fb-ca57c83ccb91 · outbound
Dubrovin-Natanzon divisors on MM-curves Discrete Torelli theorem
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c05cd24e-45d7-4b82-a008-c19e61ef0b07 · outbound
Dubrovin-Natanzon divisors on MM-curves Soliton solutions of the Kadomt- sev–Petviashvili II equation
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 02493ad8-b603-4dd9-8a55-886c4268408b · outbound
Dubrovin-Natanzon divisors on MM-curves Analytic solution of the two-dimensional Korteweg-de Vries (KdV) equation
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5cf18c2d-7696-49d7-baf8-313b9d7e561e · outbound
Dubrovin-Natanzon divisors on MM-curves Multidimensional theta functions and their ap- plication to the integration of nonlinear equations
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 43795b2e-de00-462c-9f6a-77122cb94de8 · outbound
Dubrovin-Natanzon divisors on MM-curves Real theta-function solutions of the Kadomtsev-Petviashvili equation
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation da2fcebb-59ff-4b00-8934-e434fc563546 · outbound
Dubrovin-Natanzon divisors on MM-curves The totally nonnegative Grass- mannian is a ball
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a927c1ad-a36e-4f6b-8585-42610e749c69 · outbound
Dubrovin-Natanzon divisors on MM-curves Combinatorial geometries and torus strata on homogeneous compact manifolds
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 83106272-ed21-4d9e-bc82-45ca3f36b618 · outbound
Dubrovin-Natanzon divisors on MM-curves On algebraic-geometry methods for constructing submanifolds with flat normal bundle and holonomic net of curvature lines
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4e35af45-7f67-4a93-9a82-8c9519217f48 · outbound
Dubrovin-Natanzon divisors on MM-curves Infinitesimal Darboux transfor- mations of the spectral curves of tori in the four-space,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2a09d1fb-6f05-4931-b30a-6d234426b5d6 · outbound
Dubrovin-Natanzon divisors on MM-curves Spectral conservation laws for periodic nonlinear equations of the Melnikov type,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0eadea5b-4314-47e7-a0c8-80fadbb15be1 · outbound
Dubrovin-Natanzon divisors on MM-curves Periods of Tropical Curves and Associated KP Solutions,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fe49e4e4-8a75-4249-9a85-e8ce114d0c85 · outbound
Dubrovin-Natanzon divisors on MM-curves On the stability of solitary waves in weakly dispersive media
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 18d5ca8f-b7bd-4725-8a02-1071b23fa42a · outbound
Dubrovin-Natanzon divisors on MM-curves The Deodhar decomposition of the Grassmannian and the regularity of KP solitons,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8b13c868-1e93-4730-858c-5245e9ae61a7 · outbound
Dubrovin-Natanzon divisors on MM-curves KP solitons and total positivity for the Grassmannian,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 00ff71e7-e979-4c6b-9ce9-5056e637779b · outbound
Dubrovin-Natanzon divisors on MM-curves Potentials with zero coefficient of reflection on a background of finite-zone potentials
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 829be975-ac54-4778-9d78-f7da11f0fb83 · outbound
Dubrovin-Natanzon divisors on MM-curves An algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 52c3e576-f0c0-44f2-917d-b76bd0e176be · outbound
Dubrovin-Natanzon divisors on MM-curves Algebraic-geometric n-orthogonal curvilinear co- ordinate systems and solutions of the associativity equations
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6c830182-2534-460c-b70f-1f57ba03f21f · outbound
Dubrovin-Natanzon divisors on MM-curves The projectivity of the moduli space of stable curves. I: Preliminaries on “det
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b345ce65-7c78-4f38-9052-6ebd5f81b24d · outbound
Dubrovin-Natanzon divisors on MM-curves The projectivity of the moduli space of stable curves. II. The stacks Mg,n
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8ffe0007-dfae-4032-8ac0-50421bc1485a · outbound
Dubrovin-Natanzon divisors on MM-curves The projectivity of the moduli space of stable curves. III. The line bundles on Mg,n, and a proof of the pro- 33 jectivity of ˜Mg,n in characteristic 0
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4cbbf8d1-48b9-4808-be95-9ea7cb3d8467 · outbound
Dubrovin-Natanzon divisors on MM-curves Maximal Mumford curves from planar graphs
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f4b8a560-8e01-44d3-a826-320343dba701 · outbound
Dubrovin-Natanzon divisors on MM-curves A class of exact solutions of the Kadomt- sev–Petviashvili equation
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b95eebbe-d9b3-4de0-890b-8833bc936742 · outbound
Dubrovin-Natanzon divisors on MM-curves Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c663f349-124c-45dc-aacd-4ad4a8eb4f2b · outbound
Dubrovin-Natanzon divisors on MM-curves Tropical curves, their Jacobians and theta functions
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 75850b59-670d-431f-88ae-5c37ebf24c52 · outbound
Dubrovin-Natanzon divisors on MM-curves Tropical Geometry
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a4309433-3da2-4f51-9772-4423cf2c959c · outbound
Dubrovin-Natanzon divisors on MM-curves Orthogonal curvilinear coordi- nate systems corresponding to singular spectral curves,
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 84ebacfb-a97b-47de-ad10-48087f1dd5b7 · outbound
Dubrovin-Natanzon divisors on MM-curves On some algebraic examples of Frobenius manifolds,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c682a152-e940-4c74-89cf-fa5a07bcbb2d · outbound
Dubrovin-Natanzon divisors on MM-curves Orthogonal Curvi- linear Coordinate Systems and Torsion-Free Sheaves over Re- ducible Spectral Curves
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 710cf39a-1bfe-4214-b22a-649ec53bbd3b · outbound
Dubrovin-Natanzon divisors on MM-curves Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 37f47119-d2df-4d51-85c7-064723c83674 · outbound
Dubrovin-Natanzon divisors on MM-curves Total positivity, Grassmannians, and networks
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b43f998c-446b-4232-9eb4-d470e241ed12 · outbound
Dubrovin-Natanzon divisors on MM-curves Matching polytopes, toric geometry, and the totally non-negative Grassmannian
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 077da1da-6205-4ca1-aec5-043063d8a992 · outbound
Dubrovin-Natanzon divisors on MM-curves Singular spectral curves in finite-gap integra- tion,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1c5310b4-35bd-4953-af94-cf8b773e46d5 · outbound
Dubrovin-Natanzon divisors on MM-curves Quantization, Classical and Quantum Field The- ory and Theta Functions
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7fd25ced-176c-418e-91d5-099fa79bd92e · outbound
Dubrovin-Natanzon divisors on MM-curves Real algebraic plane curves: Constructions with con- trolled topology
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 93ce467c-7c61-4062-a89a-5b61140e4e8c · outbound
Dubrovin-Natanzon divisors on MM-curves A scheme for integrating the non- linear equations of mathematical physics by the method of the inverse scattering problem. I
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cc455427-5bdc-4408-aee2-a797f6a42184 · outbound
Dubrovin-Natanzon divisors on MM-curves Description of the n-orthogonal curvilinear co- ordinate systems and Hamiltonian integrable systems of hydro- dynamic type. I. Integration of the Lam´ e equations,
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
No inbound Pith citation observations are available.