Paper Citation Record · LEDGER

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles

As of 22 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2412.00910.

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

pith.paper-citation-record.v1
2412.00910 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:08:50.957888Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T04:35:16.039260Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-08T04:35:16.106164Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy15
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 156dce6d-34a8-4056-834e-8b2ae5cd4db4 · outbound

This paper cites A short primer on the half-wave maps equa tion.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles A short primer on the half-wave maps equa tion

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.438160Z

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.

Observation 0c9773ae-3247-4788-b8f0-7d1d3d72dcac · outbound

This paper cites Solitons in a continuous classical Haldane– Shastry spin chain.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Solitons in a continuous classical Haldane– Shastry spin chain

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.415475Z

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.

Observation d7be9ab8-4402-4042-ba4a-c89668e8d4c5 · outbound

This paper cites Derivation of the Half-Wave Maps Equation from Calogero--Moser Spin Systems.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Derivation of the Half-Wave Maps Equation from Calogero--Moser Spin Systems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T05:08:50.808877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ca6943a-b053-4a91-bfdb-ac9956207b76 · outbound

This paper cites Spin generaliza- tions of the Benjamin–Ono equation.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Spin generaliza- tions of the Benjamin–Ono equation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.394399Z

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.

Observation 8e0c7d79-05ec-4d0c-885e-afc9dabebdcd · outbound

This paper cites An explicit formula for the Benjamin–O no equation.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles An explicit formula for the Benjamin–O no equation

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.378185Z

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.

Observation deb6fa16-d9ce-42c4-8be3-8ea267506d1c · outbound

This paper cites Small data global reg ularity for half-wave maps.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Small data global reg ularity for half-wave maps

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.354114Z

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.

Observation 8888a60f-90e0-4222-823c-771778ed533e · outbound

This paper cites Small data globa l regularity for half- wave maps in n= 4 dimensions.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Small data globa l regularity for half- wave maps in n= 4 dimensions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.319647Z

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.

Observation 4e0d7256-821f-484a-a04c-46cdbe4f44d2 · outbound

This paper cites A Lax pair structure f or the half-wave maps equation.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles A Lax pair structure f or the half-wave maps equation

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T05:08:50.862601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94e49073-a38d-4d69-bb1b-ff682e14ee69 · outbound

This paper cites On energy-critical half-wave maps into Sˆ 2 S 2.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles On energy-critical half-wave maps into Sˆ 2 S 2

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.287674Z

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.

Observation 301f4c86-8895-43d7-b86d-4199447b06d1 · outbound

This paper cites Exactly solvable eigenvalue prob lems for a nonlocal non- linear Schrödinger equation.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Exactly solvable eigenvalue prob lems for a nonlocal non- linear Schrödinger equation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.264841Z

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.

Observation f1dee2e0-5451-4f95-8498-48a5d339e34d · outbound

This paper cites A Cauchy problem for the nonlocal n onlinear Schrödinger equation.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles A Cauchy problem for the nonlocal n onlinear Schrödinger equation

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.232226Z

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.

Observation 7eb60b5e-40f9-4631-b13d-ee99eb1ba437 · outbound

This paper cites Recent topics on a class of nonlinear integr odiﬀerential evolution equations of physical signiﬁcance.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Recent topics on a class of nonlinear integr odiﬀerential evolution equations of physical signiﬁcance

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.214781Z

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.

Observation d8c20238-58ea-447c-961c-3b8818db480c · outbound

This paper cites Benjamin-Ono and intermediate lon g wave equations: Mod- eling, IST and PDE.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Benjamin-Ono and intermediate lon g wave equations: Mod- eling, IST and PDE

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.196453Z

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.

Observation 6abbe959-c894-4ec2-85fd-d6bbf4960a00 · outbound

This paper cites Mu lti-solitons of the half-wave maps equation and calogero–moser spin–pole dyna mics.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Mu lti-solitons of the half-wave maps equation and calogero–moser spin–pole dyna mics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.177882Z

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.

Observation 0c8f39ba-5db0-43b5-9d5b-c9101912dd64 · outbound

This paper cites A generalisation of the Calogero-Moser sys- tem.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles A generalisation of the Calogero-Moser sys- tem

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.154829Z

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.

Observation 7b02b8fd-a2bb-4160-94f6-d4411a3d63bf · outbound

This paper cites An integrable marriage of the Euler e quations with the Calogero- Moser system.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles An integrable marriage of the Euler e quations with the Calogero- Moser system

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T05:08:50.925574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7a4c5ec-86c2-473b-b630-fe55d97e8dcb · outbound

This paper cites Spin generalization of the Calogero-Moser system and the Matrix KP equation.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Spin generalization of the Calogero-Moser system and the Matrix KP equation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T05:08:50.932983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c746a0fe-7d12-4eed-91e7-5504989eb30d · outbound

This paper cites A Study on the Well-Posedness of 1D Energy-Critical Half-Wave Maps Equations.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles A Study on the Well-Posedness of 1D Energy-Critical Half-Wave Maps Equations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T05:08:50.939674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c31bcd8-a913-47a7-96b0-92525cb60e88 · outbound

This paper cites Integrability, conservation law s and solitons of a many- body dynamical system associated with the half-wave maps eq uation.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Integrability, conservation law s and solitons of a many- body dynamical system associated with the half-wave maps eq uation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.116141Z

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.

Observation 5e7420fc-6e10-4691-aaf4-2175f41f8850 · outbound

This paper cites Integration of the continuous Heisenbe rg spin chain through the inverse scattering method.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Integration of the continuous Heisenbe rg spin chain through the inverse scattering method

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:08:51.096321Z

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.

Observation a2c49ad0-cc33-494d-9a43-2f2c86a346d9 · outbound

This paper cites an unresolved cited work.

Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles Unresolved cited work

Reference 2789

Resolution: unresolved; no resolver link, observed 2026-08-12T05:08:50.919466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b8eb6fc6-982d-44fd-9e62-5ca997891482 · inbound

Scattering of Rational Solutions to the Half-Wave Maps Equation cites this paper.

Scattering of Rational Solutions to the Half-Wave Maps Equation Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-08T04:35:16.110554Z

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.