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Paper Citation Record · LEDGER

Dubrovin-Natanzon divisors on MM-curves

As of 22 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.

pith.paper-citation-record.v1
2508.08426 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:38:46.379736Z

measured 47 of 47 standing notices

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

47 of 47 outbound references displayed

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External citation measurements

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Outbound references

Observation d0b54315-ca62-4d42-83c1-91a64fd3f4fd · outbound

This paper cites Rational degenerations of M -curves, totally positive Grassmannians and KP–solitons.

Dubrovin-Natanzon divisors on MM-curves Rational degenerations of M -curves, totally positive Grassmannians and KP–solitons

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:57.933458Z

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=2026-08-05T21:38:40.292452Z digest=sha256:5e4c84b390a5967ad69ce97eceb82abaeb52237977b7a0115c0e46c930b8216b

Observation bce90e38-f354-49bf-82c2-3f91237fbffa · outbound

This paper cites Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spec- tral curves corresponding to GrTP(2, 4).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:57.732809Z

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=2026-08-05T21:38:40.365940Z digest=sha256:838dfaf4ec3b8bab7dd8ec944432a6412ca997054a64bfe0fb95f0b026a057e2

Observation 6cf7dc62-2bb6-4937-af22-689ce465c852 · outbound

This paper cites Reducible M -curves for Le-networks in the totally-nonnegative Grassmannian and KP–II multiline solitons.

Dubrovin-Natanzon divisors on MM-curves Reducible M -curves for Le-networks in the totally-nonnegative Grassmannian and KP–II multiline solitons

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:57.556910Z

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=2026-08-05T21:38:40.441167Z digest=sha256:38c3138b441679cfa95e4b9c90b99c6e61636616cfd50b3ca6853b73c782f547

Observation 3f723b04-b5f7-4e75-9054-2ecabfae46e2 · outbound

This paper cites Real regular KP divisors on M-curves and totally non-negative Grassmannians.

Dubrovin-Natanzon divisors on MM-curves Real regular KP divisors on M-curves and totally non-negative Grassmannians

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:57.383303Z

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=2026-08-05T21:38:40.533841Z digest=sha256:0539927d333ad6364fba84ed722a2076fffc3305574df24e886aad383798f937

Observation 51dd846c-808d-49d7-b3d5-7fb16743f4fd · outbound

This paper cites Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmanni- ans.

Dubrovin-Natanzon divisors on MM-curves Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmanni- ans

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:57.138426Z

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=2026-08-05T21:38:40.621141Z digest=sha256:e1099c0e18e78908898306b15d73c2abaf09f97dfd9da3f2fd2adaaf8f822810

Observation 2d8326a9-cf9c-4b92-9e5d-735025c0d3e2 · outbound

This paper cites Geometric Nature of Relations on Plabic Graphs and Totally Non-negative Grassmannians.

Dubrovin-Natanzon divisors on MM-curves Geometric Nature of Relations on Plabic Graphs and Totally Non-negative Grassmannians

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:56.952905Z

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=2026-08-05T21:38:40.720849Z digest=sha256:ee05dd930b40d10f44f01bcdb2218b800cc14f03787ede5f8a891a89f3c6f5b1

Observation e9207882-52e6-4e39-baa7-2dada976f6a9 · outbound

This paper cites Nonlinear shallow ocean-wave soliton interactions on flat beaches.

Dubrovin-Natanzon divisors on MM-curves Nonlinear shallow ocean-wave soliton interactions on flat beaches

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:56.762633Z

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=2026-08-05T21:38:40.813499Z digest=sha256:01cbad5143de6cdaa4afc4d536b418739335becbfce3d72d7445438b94203c90

Observation 7bbf4b9b-b01e-4ecc-bf94-147d0aa1a4a8 · outbound

This paper cites Theta sur- faces.

Dubrovin-Natanzon divisors on MM-curves Theta sur- faces

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:56.572725Z

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=2026-08-05T21:38:40.904503Z digest=sha256:d58c8344fa15b7e630a64092feb5ab8f6a8c2d67af7755be29775625c7c571df

Observation d8ee5944-72e5-4222-ba50-bc08cd2e4cee · outbound

This paper cites KP solitons from tropical limits.

Dubrovin-Natanzon divisors on MM-curves KP solitons from tropical limits

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:56.415090Z

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=2026-08-05T21:38:41.009868Z digest=sha256:a20d1cfc7063ec03c50b04e53ca7e065f0ee9c40af662f4459636773b454fb73

Observation e9aaa489-b49b-4f28-8659-de214cb0fc97 · outbound

This paper cites Canonical maps of pointed nodal curves,.

Dubrovin-Natanzon divisors on MM-curves Canonical maps of pointed nodal curves,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:56.205888Z

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=2026-08-05T21:38:41.103854Z digest=sha256:f664fd08ac2b97fc7c939e735a75b1554b5d7e9e166bd5e9f54108817e7595c5

Observation 4e48abf1-3a7e-493d-8285-4eebac987e7e · outbound

This paper cites Topologically trivial bundles on curves with the simplest singularities.

Dubrovin-Natanzon divisors on MM-curves Topologically trivial bundles on curves with the simplest singularities

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:56.039315Z

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=2026-08-05T21:38:41.230700Z digest=sha256:97502947c1733d0c8048f329bb23268906115ac9c96e6d3939fa879b293e46b6

Observation 81c3ed7c-18d1-4d43-80fb-ca57c83ccb91 · outbound

This paper cites Discrete Torelli theorem.

Dubrovin-Natanzon divisors on MM-curves Discrete Torelli theorem

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:55.702502Z

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=2026-08-05T21:38:41.369162Z digest=sha256:1c36f09035511170324bf93343d775be2e3d0dd5d130f3b5d8457df09e4a04e9

Observation c05cd24e-45d7-4b82-a008-c19e61ef0b07 · outbound

This paper cites Soliton solutions of the Kadomt- sev–Petviashvili II equation.

Dubrovin-Natanzon divisors on MM-curves Soliton solutions of the Kadomt- sev–Petviashvili II equation

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:55.506525Z

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=2026-08-05T21:38:41.487252Z digest=sha256:df9653cba3c796afba044e9167a81583d5fe0e1a184e6a55e97776f33d2cc7dc

Observation 02493ad8-b603-4dd9-8a55-886c4268408b · outbound

This paper cites Analytic solution of the two-dimensional Korteweg-de Vries (KdV) equation.

Dubrovin-Natanzon divisors on MM-curves Analytic solution of the two-dimensional Korteweg-de Vries (KdV) equation

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:55.238357Z

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=2026-08-05T21:38:41.607649Z digest=sha256:684437358b39f7e3fae9f13cfc9d8ec4b884134cce1bf6c0029b5f8095c5b2c6

Observation 5cf18c2d-7696-49d7-baf8-313b9d7e561e · outbound

This paper cites Multidimensional theta functions and their ap- plication to the integration of nonlinear equations.

Dubrovin-Natanzon divisors on MM-curves Multidimensional theta functions and their ap- plication to the integration of nonlinear equations

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:55.009296Z

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=2026-08-05T21:38:41.754427Z digest=sha256:87e618f865f79eb074238fcdc49c97faf832451ba4f22bd8e33f7765eb6e89dc

Observation 43795b2e-de00-462c-9f6a-77122cb94de8 · outbound

This paper cites Real theta-function solutions of the Kadomtsev-Petviashvili equation.

Dubrovin-Natanzon divisors on MM-curves Real theta-function solutions of the Kadomtsev-Petviashvili equation

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:54.813807Z

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=2026-08-05T21:38:41.922058Z digest=sha256:c29989e76d65e9159ea1a4fb38b44dcd10927995840f88063759bfbc66edfc25

Observation da2fcebb-59ff-4b00-8934-e434fc563546 · outbound

This paper cites The totally nonnegative Grass- mannian is a ball.

Dubrovin-Natanzon divisors on MM-curves The totally nonnegative Grass- mannian is a ball

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:54.492289Z

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=2026-08-05T21:38:42.048357Z digest=sha256:9f6cd75d88d53f84d677597a323bbb504512f2e2d1c607b83c5c156846ac9521

Observation a927c1ad-a36e-4f6b-8585-42610e749c69 · outbound

This paper cites Combinatorial geometries and torus strata on homogeneous compact manifolds.

Dubrovin-Natanzon divisors on MM-curves Combinatorial geometries and torus strata on homogeneous compact manifolds

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:54.171705Z

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=2026-08-05T21:38:42.172422Z digest=sha256:500793181e3ef05ca4ec8559bb9ba590c2a714502e198ad2ee51c0c3f4efbef6

Observation 83106272-ed21-4d9e-bc82-45ca3f36b618 · outbound

This paper cites On algebraic-geometry methods for constructing submanifolds with flat normal bundle and holonomic net of curvature lines.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:53.732938Z

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=2026-08-05T21:38:42.313753Z digest=sha256:dc60223dcebcf93a8099c16c5c878852cb93b647d06f0d9666eec4fffb9a1591

Observation 4e35af45-7f67-4a93-9a82-8c9519217f48 · outbound

This paper cites Infinitesimal Darboux transfor- mations of the spectral curves of tori in the four-space,.

Dubrovin-Natanzon divisors on MM-curves Infinitesimal Darboux transfor- mations of the spectral curves of tori in the four-space,

Reference 20

Resolution
verified exact
doi, observed 2026-08-05T21:38:46.668069Z

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=2026-08-05T21:38:42.444154Z digest=sha256:95c0f90aa0eac6934f207fd0ccff55190d406cb2f7cabea46a78b8ec3554fcda

Observation 2a09d1fb-6f05-4931-b30a-6d234426b5d6 · outbound

This paper cites Spectral conservation laws for periodic nonlinear equations of the Melnikov type,.

Dubrovin-Natanzon divisors on MM-curves Spectral conservation laws for periodic nonlinear equations of the Melnikov type,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:53.384136Z

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=2026-08-05T21:38:42.599648Z digest=sha256:6757874306e12eca31cb41a9a428dd940834856ef264f18c3d37b5083a6a11c9

Observation 0eadea5b-4314-47e7-a0c8-80fadbb15be1 · outbound

This paper cites Periods of Tropical Curves and Associated KP Solutions,.

Dubrovin-Natanzon divisors on MM-curves Periods of Tropical Curves and Associated KP Solutions,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:53.130849Z

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=2026-08-05T21:38:42.717263Z digest=sha256:95be4ce83fe9fe584d031ea7e77a8d4b1e052e3d89d0744801f0e460a6273bfb

Observation fe49e4e4-8a75-4249-9a85-e8ce114d0c85 · outbound

This paper cites On the stability of solitary waves in weakly dispersive media.

Dubrovin-Natanzon divisors on MM-curves On the stability of solitary waves in weakly dispersive media

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:52.932839Z

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=2026-08-05T21:38:42.836815Z digest=sha256:06cdcc6b8972db38ec1aead810c74d59a7f5cd8aa0640bfad78ebf212738e563

Observation 18d5ca8f-b7bd-4725-8a02-1071b23fa42a · outbound

This paper cites The Deodhar decomposition of the Grassmannian and the regularity of KP solitons,.

Dubrovin-Natanzon divisors on MM-curves The Deodhar decomposition of the Grassmannian and the regularity of KP solitons,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:52.733653Z

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=2026-08-05T21:38:42.989651Z digest=sha256:3ef2721a187b5c0684023e92b21f1eaf5fdbcc3264a6098d636340a4672d91ca

Observation 8b13c868-1e93-4730-858c-5245e9ae61a7 · outbound

This paper cites KP solitons and total positivity for the Grassmannian,.

Dubrovin-Natanzon divisors on MM-curves KP solitons and total positivity for the Grassmannian,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:52.509077Z

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=2026-08-05T21:38:43.107412Z digest=sha256:5c6cdc6a5e1730d9001f8303925a30ff7227bfe43a19a0ae8f1530e9b6d802cc

Observation 00ff71e7-e979-4c6b-9ce9-5056e637779b · outbound

This paper cites Potentials with zero coefficient of reflection on a background of finite-zone potentials.

Dubrovin-Natanzon divisors on MM-curves Potentials with zero coefficient of reflection on a background of finite-zone potentials

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:52.343133Z

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=2026-08-05T21:38:43.253066Z digest=sha256:2ad3402ffe0cd8ece5f8e186a7928bac0912f523cd72b987489366821df735a1

Observation 829be975-ac54-4778-9d78-f7da11f0fb83 · outbound

This paper cites An algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions.

Dubrovin-Natanzon divisors on MM-curves An algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:52.132405Z

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=2026-08-05T21:38:43.421503Z digest=sha256:42b73bb913b8949917790dd07368bf3f7d773b043ccf30e888983b1ae622408f

Observation 52c3e576-f0c0-44f2-917d-b76bd0e176be · outbound

This paper cites Algebraic-geometric n-orthogonal curvilinear co- ordinate systems and solutions of the associativity equations.

Dubrovin-Natanzon divisors on MM-curves Algebraic-geometric n-orthogonal curvilinear co- ordinate systems and solutions of the associativity equations

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:51.934008Z

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=2026-08-05T21:38:43.567389Z digest=sha256:141896077733e237665ac10280b6f3be1899be08b980fd19d2579348bcd3108d

Observation 6c830182-2534-460c-b70f-1f57ba03f21f · outbound

This paper cites The projectivity of the moduli space of stable curves. I: Preliminaries on “det.

Dubrovin-Natanzon divisors on MM-curves The projectivity of the moduli space of stable curves. I: Preliminaries on “det

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:51.754360Z

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=2026-08-05T21:38:43.704246Z digest=sha256:2075bfe80abd770f229a51f627aeb58b621933c6ff68006ccc4ff254f69e9374

Observation b345ce65-7c78-4f38-9052-6ebd5f81b24d · outbound

This paper cites The projectivity of the moduli space of stable curves. II. The stacks Mg,n.

Dubrovin-Natanzon divisors on MM-curves The projectivity of the moduli space of stable curves. II. The stacks Mg,n

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:51.590266Z

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=2026-08-05T21:38:43.897935Z digest=sha256:9bcaf7a7a742b3559d1a2a03ff5cfa4975289d536adf74ad339f2d7555b1d41f

Observation 8ffe0007-dfae-4032-8ac0-50421bc1485a · outbound

This paper cites 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.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:51.453917Z

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=2026-08-05T21:38:44.089295Z digest=sha256:b707ffbf91ceaa12013e265b149c4830c2b4849a9adc0be8732d5807dc681b30

Observation 4cbbf8d1-48b9-4808-be95-9ea7cb3d8467 · outbound

This paper cites Maximal Mumford curves from planar graphs.

Dubrovin-Natanzon divisors on MM-curves Maximal Mumford curves from planar graphs

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:51.252432Z

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=2026-08-05T21:38:44.214063Z digest=sha256:5c964ce2ce1a3f67c0542427e18a0bf8abf09473fd7aa7fc11950a2c4eda0343

Observation f4b8a560-8e01-44d3-a826-320343dba701 · outbound

This paper cites A class of exact solutions of the Kadomt- sev–Petviashvili equation.

Dubrovin-Natanzon divisors on MM-curves A class of exact solutions of the Kadomt- sev–Petviashvili equation

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:50.995785Z

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=2026-08-05T21:38:44.368051Z digest=sha256:4eed0268faf0efbaa6ca2de76e20e9b366e9913779b0c96d02992d46cb246d4d

Observation b95eebbe-d9b3-4de0-890b-8833bc936742 · outbound

This paper cites Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters.

Dubrovin-Natanzon divisors on MM-curves Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:50.795157Z

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=2026-08-05T21:38:44.501639Z digest=sha256:b2ae34786c778a7c708b54e4be7afc5044e98691a70f252ea3876038937dcbe3

Observation c663f349-124c-45dc-aacd-4ad4a8eb4f2b · outbound

This paper cites Tropical curves, their Jacobians and theta functions.

Dubrovin-Natanzon divisors on MM-curves Tropical curves, their Jacobians and theta functions

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:50.463110Z

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=2026-08-05T21:38:44.658890Z digest=sha256:3041908a73cd7cee2eb05fdc37a75acb7e124da372364c14641300d25a364891

Observation 75850b59-670d-431f-88ae-5c37ebf24c52 · outbound

This paper cites Tropical Geometry.

Dubrovin-Natanzon divisors on MM-curves Tropical Geometry

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:50.077544Z

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=2026-08-05T21:38:44.847283Z digest=sha256:22abbc3fa3fd5443b64eba4448398242c7b5f5e96dc83b7a5826f50d8cd76fda

Observation a4309433-3da2-4f51-9772-4423cf2c959c · outbound

This paper cites Orthogonal curvilinear coordi- nate systems corresponding to singular spectral curves,.

Dubrovin-Natanzon divisors on MM-curves Orthogonal curvilinear coordi- nate systems corresponding to singular spectral curves,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:49.649854Z

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=2026-08-05T21:38:45.012609Z digest=sha256:fdbc5a71f5a2999ad37910ec33176516c6e71a1d075a90ad27f330d7144d3865

Observation 84ebacfb-a97b-47de-ad10-48087f1dd5b7 · outbound

This paper cites On some algebraic examples of Frobenius manifolds,.

Dubrovin-Natanzon divisors on MM-curves On some algebraic examples of Frobenius manifolds,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:49.360420Z

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=2026-08-05T21:38:45.141021Z digest=sha256:c88a2f137dfd63a3161199314de29f970c8bd4e624d46c16d54e9c91497f5c7c

Observation c682a152-e940-4c74-89cf-fa5a07bcbb2d · outbound

This paper cites Orthogonal Curvi- linear Coordinate Systems and Torsion-Free Sheaves over Re- ducible Spectral Curves.

Dubrovin-Natanzon divisors on MM-curves Orthogonal Curvi- linear Coordinate Systems and Torsion-Free Sheaves over Re- ducible Spectral Curves

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:49.124272Z

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=2026-08-05T21:38:45.312531Z digest=sha256:fa8fa904096c6e75eba32cf84c9783071d92b242adaa395bd586d10c26878dd7

Observation 710cf39a-1bfe-4214-b22a-649ec53bbd3b · outbound

This paper cites an unresolved cited work.

Dubrovin-Natanzon divisors on MM-curves Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:38:48.772991Z

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=2026-08-05T21:38:45.428535Z digest=sha256:41bb8c268c7298f66e3435226f67f46a7e42b2e7a9f9c86af5f4bd6d105c9717

Observation 37f47119-d2df-4d51-85c7-064723c83674 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Dubrovin-Natanzon divisors on MM-curves Total positivity, Grassmannians, and networks

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-05T21:38:45.558668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:38:45.558668Z digest=sha256:ec1689671488f7b660ed190df71030427d98e726e4297ce9e1d772ff686f9fb9

Observation b43f998c-446b-4232-9eb4-d470e241ed12 · outbound

This paper cites Matching polytopes, toric geometry, and the totally non-negative Grassmannian.

Dubrovin-Natanzon divisors on MM-curves Matching polytopes, toric geometry, and the totally non-negative Grassmannian

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:48.394744Z

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=2026-08-05T21:38:45.679579Z digest=sha256:2442846f08d9335a43248236b739829b642e47e222479840e2183e94b47e8f32

Observation 077da1da-6205-4ca1-aec5-043063d8a992 · outbound

This paper cites Singular spectral curves in finite-gap integra- tion,.

Dubrovin-Natanzon divisors on MM-curves Singular spectral curves in finite-gap integra- tion,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:48.110997Z

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=2026-08-05T21:38:45.838485Z digest=sha256:4a49f9c4984f9b8fc0415392eb3cbd8abbd649d393c40f27a459fd03eacfac64

Observation 1c5310b4-35bd-4953-af94-cf8b773e46d5 · outbound

This paper cites Quantization, Classical and Quantum Field The- ory and Theta Functions.

Dubrovin-Natanzon divisors on MM-curves Quantization, Classical and Quantum Field The- ory and Theta Functions

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:47.813162Z

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=2026-08-05T21:38:46.002265Z digest=sha256:a2dd4be58f14c649a876cacc16e167c910be0eab3dbc1573e0aa284d4d6eeddd

Observation 7fd25ced-176c-418e-91d5-099fa79bd92e · outbound

This paper cites Real algebraic plane curves: Constructions with con- trolled topology.

Dubrovin-Natanzon divisors on MM-curves Real algebraic plane curves: Constructions with con- trolled topology

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:47.541888Z

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=2026-08-05T21:38:46.124399Z digest=sha256:7f4bbbd423e702f0ba730f4fb849ec3f266b834a0e2c90cf8cdfe4f8d073aa5b

Observation 93ce467c-7c61-4062-a89a-5b61140e4e8c · outbound

This paper cites A scheme for integrating the non- linear equations of mathematical physics by the method of the inverse scattering problem. I.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:47.206912Z

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=2026-08-05T21:38:46.277230Z digest=sha256:399cdbc7c2df488cfe5b4373fea6027f4e5e17b26c684ad8f161b424046e8647

Observation cc455427-5bdc-4408-aee2-a797f6a42184 · outbound

This paper cites Description of the n-orthogonal curvilinear co- ordinate systems and Hamiltonian integrable systems of hydro- dynamic type. I. Integration of the Lam´ e equations,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:38:46.969749Z

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=2026-08-05T21:38:46.379736Z digest=sha256:fecdf7b79c1d09b3d20e239c79e2d242a1daae3872b7090bd28f7bea4f92c9bc

Pith citing papers

No inbound Pith citation observations are available.