Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T16:17:10.269464Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2501.13477.
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 2026-08-10T16:17:10.269464Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 86f69463-8cb4-4db9-b979-cd311a258d1b · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Constant mean curvature tori in terms of elliptic functions.Journal für die reine und angewandte Mathematik, 374:169–192, 1987
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9cd6545e-7b1d-4e20-a89e-e9a12dc31437 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Integrable dynamics in projective geometry via dimers and triple crossing diagram maps on the cylinder
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 39c9ffa1-125c-4a9f-91ce-6e78d4a91ff1 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Cross-ratio dynamics on ideal polygons
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8c830f2e-d492-42cb-a103-16372b5ef9b9 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Area-constrained planar elastica.Phys
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2c89c87c-8b76-4818-a21f-372390fcfa59 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Discrete elastic rods
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7227adaf-26a6-4ef8-bfb4-a5596f0a5986 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Vorlesungen über Differentialgeometrie III.Springer Grundlehren XXIX, 1929
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 00a4e8ba-7761-494c-b126-a43ab3d3516d · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Isothermic tori with one family of planar curvature lines and area constrained hyperbolic elastica
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0dfff5c3-cde4-471f-bbed-9ac533fe81bf · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Bobenko and Ulrich Pinkall
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f1c8ed29-963e-4bd0-9230-c1e172544e36 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Bobenko and Ulrich Pinkall
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a710cc7f-3a37-479f-b0a2-79e3d581e834 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Bobenko and Yuri B
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d41f531-6645-4f25-81d1-536631e63e09 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Bobenko and Yuri B
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2afe6fbe-1b83-4e1c-adee-fe197e08b611 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2708258b-ada1-4ba9-8713-e5b7293d8205 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Lund, Toke B
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d0445cdf-1917-4287-8ce5-63b8ebbf166f · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Nørbjerg
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2dfc39ce-c233-4237-bc47-5b50bc4d8fcf · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Burstall and Susana D
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation af692949-2953-4de0-b632-c9735152238c · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e264479e-cf08-474e-9331-4bfc89a6bac8 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves LMS Lecture Note Series
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e17c5b7e-2873-4f9d-93ed-e12ba215039c · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Periodic discrete Darboux transforms.Differential Geometry and its Applications, 91:102065, 2023.doi:10.1016/j.difgeo.2023.102065
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ca03a707-ebbf-4c17-a262-c656ca240897 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Constrained elastic curves and surfaces with spherical curvature lines.Indiana University Mathematics Journal, (72(5):2059–2099), 2023
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f70e3db6-a56f-4313-93d0-a906a9a5cd4b · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Discrete mKdV equation via Darboux transformation.Math- ematical Physics, Analysis and Geometry, 24, 09 2021.doi:10.1007/s11040-021-09398-y
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 42dfd543-a6d6-45c9-97b2-71c9e2dbbc1d · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio prob- lematis isoperimetrici lattissimo sensu accepti.Marcum-Michaelem Bousquet, 1744
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7962e4ef-ebbe-46d9-a5da-774bd3046b61 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Goldstein and Dean M
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c4f8677a-15c9-40cd-9cba-d5cbe1784b71 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves On the zeros of polynomials over division rings.Transactions of the American Mathematical Society, 116:218–226, 1965.doi:10.1090/S0002-9947-1965-0195853-2
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f736515-27c6-45eb-8ff5-337fb8f25f9b · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves The design space of plane elastic curves.ACM Transactions on Graphics, 40(4), 2021
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5516ddc-6fff-400f-807d-921e02caf08f · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Constrained Willmore tori and elastic curves in 2-dimensional space forms.Comm
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 049aa13b-440c-4aca-add6-4936ce62e729 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Periodic discrete conformal maps.J
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 652d8ca9-9291-4009-9f31-d2e9c33e6b84 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Discrete Hashimoto surfaces and a doubly discrete smoke-ring flow
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 689f49e8-3cdb-46b3-b1b2-aaa9fdeaf26c · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Discrete differential geometry of curves and surfaces.Kyushu University Lecture Note Series Vol.18, 2009
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a67713fd-825f-4f10-b221-32b7ed2b509c · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Discrete curves inCP1 and the Toda lattice.Studies in Applied Mathematics, 113(1):31–55, 2004
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2e942f70-60a8-4a17-a600-a3822e7d358b · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Skew parallelogram nets and universal factorization
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 94b637d7-0242-41c0-89b1-38ce03b86f54 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Isothermic nets with spherical parameter lines from discrete holomorphic maps
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6c1f627f-2b40-439b-a5e6-64c0b431e815 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Discrete mKdV and discrete sine- Gordon flows on discrete space curves.Journal of Physics A: Mathematical and Theoretical, 47(23):235202, may 2014
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5bf5e375-a8cb-4036-9d44-11233dfe4f3e · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Polygon recutting as a cluster integrable system.Selecta Mathematica, 29(2):21, 2023
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 266b0f9e-7e75-4fdc-bb15-1558393460c1 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Poisson geometry of the filament equation.Journal of Nonlinear Science, 1:71–93,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f7e28e5-53ba-40d3-ba46-63fd583be40c · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0449a1c8-0a04-46d1-adff-59d700317fbb · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Scharler, and Hans-Peter Schröcker
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e59c8d05-1ba0-4f3f-8c5c-a81151080e3b · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 97763187-54c4-4ee2-99cf-d88484a62a13 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Equations in quaternions.The American Mathematical Monthly, 48(10):654–661, 1941
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 73e2d09b-d001-4cb6-aa2a-b7868458ce2d · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Compact Textbooks in Mathematics
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3bfeba17-5126-4fea-b4a9-8cebb7f52a57 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves A new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow.Journal of Physics A: Mathematical and Theoretical, 40(42):12563,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1d5c972c-0a36-478b-abda-2d2045f3eb8d · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Springer-Verlag, 1970.doi:10.1007/978-3-642-86411-7
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0e09e1d9-deeb-49a2-b7d4-48361f811b3e · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2e8fbc39-291c-4be3-a7e0-ad77ae20a456 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves On skew parallelogram nets, PhD thesis in preparation
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 746ed4ce-dca0-4de2-b4bc-46d1e6d052ea · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves On the discrete bicycle transformation
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e890b598-253f-49e8-b472-eb53111e0223 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Einfache elastische Kurven.Dissertation, TU Berlin, 1991
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e6c09177-efe9-41bf-999f-77be5d8285f8 · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Fairing of discrete planar curves by discrete Euler’s elasticae.JSIAM Letters, 11:73–76, 2019.doi:10.14495/jsiaml.11.73
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ea7bddac-35bc-4126-a3e7-6cb2c07dedce · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work
Reference 1991
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 35c8fdc7-1e0d-43fe-b647-c3db8597c83e · outbound
Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work
Reference 2007
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
No inbound Pith citation observations are available.