Pith. sign in

Paper Citation Record · LEDGER

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves

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.

pith.paper-citation-record.v1
2501.13477 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:17:10.269464Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

48 of 48 outbound references displayed

  • verified exact29
  • verified fuzzy10
  • unresolved5
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86f69463-8cb4-4db9-b979-cd311a258d1b · outbound

This paper cites Constant mean curvature tori in terms of elliptic functions.Journal für die reine und angewandte Mathematik, 374:169–192, 1987.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.278336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.099634Z digest=sha256:30c565112e5883228bda76711eb0f4ee1120737813ff37083ad4c8a91fca71f8

Observation 9cd6545e-7b1d-4e20-a89e-e9a12dc31437 · outbound

This paper cites Integrable dynamics in projective geometry via dimers and triple crossing diagram maps on the cylinder.

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

Resolution
verified exact
local_arxiv, observed 2026-08-10T16:17:10.678855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.104134Z digest=sha256:2489828a560227078858ba60eee259890ea1f2ba04c36c86c431884525adb9a0

Observation 39c9ffa1-125c-4a9f-91ce-6e78d4a91ff1 · outbound

This paper cites Cross-ratio dynamics on ideal polygons.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Cross-ratio dynamics on ideal polygons

Reference 3

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.663987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.108431Z digest=sha256:398d032f3cd037b0d73155f18285948e289df64db4b2c00d42c5d0d97750e406

Observation 8c830f2e-d492-42cb-a103-16372b5ef9b9 · outbound

This paper cites Area-constrained planar elastica.Phys.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Area-constrained planar elastica.Phys

Reference 4

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.651993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.112241Z digest=sha256:c59c405c003f34b093111b1a8e4e6a713bf03637c8d1ff4d1d7003335b63365a

Observation 2c89c87c-8b76-4818-a21f-372390fcfa59 · outbound

This paper cites Discrete elastic rods.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Discrete elastic rods

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T16:17:10.116589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:17:10.116589Z digest=sha256:79e85a00e12664ded12403affb314eee64f8e3506727d56135537af8835d7915

Observation 7227adaf-26a6-4ef8-bfb4-a5596f0a5986 · outbound

This paper cites Vorlesungen über Differentialgeometrie III.Springer Grundlehren XXIX, 1929.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Vorlesungen über Differentialgeometrie III.Springer Grundlehren XXIX, 1929

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.267949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.120285Z digest=sha256:294d9c3bfcc366bee085befd268c1dec96979d41776441b7e1159b8febca4018

Observation 00a4e8ba-7761-494c-b126-a43ab3d3516d · outbound

This paper cites Isothermic tori with one family of planar curvature lines and area constrained hyperbolic elastica.

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

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T16:17:10.639514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.124091Z digest=sha256:7d7f190fde6c8c1a96ce2dc58505e3899dca5dbb38a8d6d899cec056fb063e8a

Observation 0dfff5c3-cde4-471f-bbed-9ac533fe81bf · outbound

This paper cites Bobenko and Ulrich Pinkall.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Bobenko and Ulrich Pinkall

Reference 8

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.623702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.127908Z digest=sha256:60ac48c36616d7cf4254cf208e5b6c665f3ef3e32c61bd882c44f6e06b30edd8

Observation f1c8ed29-963e-4bd0-9230-c1e172544e36 · outbound

This paper cites Bobenko and Ulrich Pinkall.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Bobenko and Ulrich Pinkall

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.257412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.131272Z digest=sha256:71b4991fe26e2f7d1e4e9689a372b2fa81409199fca32e53c3c177cd7817efba

Observation a710cc7f-3a37-479f-b0a2-79e3d581e834 · outbound

This paper cites Bobenko and Yuri B.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Bobenko and Yuri B

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T16:17:10.134475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:17:10.134475Z digest=sha256:27b359de39d4ab961af6f55dabf8dba6f3518fd9f34c643b3ce281060dfb8ad8

Observation 2d41f531-6645-4f25-81d1-536631e63e09 · outbound

This paper cites Bobenko and Yuri B.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Bobenko and Yuri B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.246588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.137836Z digest=sha256:9633960bbf617018dc0b173b506a9a546ac9e08a15d27adea41f8712f6e15227

Observation 2afe6fbe-1b83-4e1c-adee-fe197e08b611 · outbound

This paper cites an unresolved cited work.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work

Reference 12

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.604967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.141027Z digest=sha256:ffa6cd28d32b4e7d82ab58e46c582ffb596324b23657422017ba29612c42a6a7

Observation 2708258b-ada1-4ba9-8713-e5b7293d8205 · outbound

This paper cites Lund, Toke B.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Lund, Toke B

Reference 13

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.593347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.144865Z digest=sha256:125bc29bce716618fa9fb20d6e18202770bd5ec9f5d142b980d6d9f571afaed8

Observation d0445cdf-1917-4287-8ce5-63b8ebbf166f · outbound

This paper cites Nørbjerg.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Nørbjerg

Reference 14

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.580990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.149129Z digest=sha256:bb465ce9397dd5ad44bac03968ca98281a50bf00cc9c8ebb34a3a3b4f2fe4ead

Observation 2dfc39ce-c233-4237-bc47-5b50bc4d8fcf · outbound

This paper cites Burstall and Susana D.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Burstall and Susana D

Reference 15

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.569157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.152477Z digest=sha256:db1679ee60dc595c81dd5ddc9e059578ad434e0eccb12a1181875baa2c9adb44

Observation af692949-2953-4de0-b632-c9735152238c · outbound

This paper cites an unresolved cited work.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.557319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.155873Z digest=sha256:08adeecf0925ce259e6f405f50f8945e53f9a1b8b260cc20fbef59d60d6e83ab

Observation e264479e-cf08-474e-9331-4bfc89a6bac8 · outbound

This paper cites LMS Lecture Note Series.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves LMS Lecture Note Series

Reference 17

Resolution
malformed identifier
raw_fallback, observed 2026-08-10T16:17:11.236633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.159462Z digest=sha256:c1d37eb78a0996a62a981f3f70d845d85df4580141e15c6f64176bd953f37be8

Observation e17c5b7e-2873-4f9d-93ed-e12ba215039c · outbound

This paper cites Periodic discrete Darboux transforms.Differential Geometry and its Applications, 91:102065, 2023.doi:10.1016/j.difgeo.2023.102065.

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

Resolution
metadata mismatch
raw_fallback, observed 2026-08-10T16:17:11.076445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.163592Z digest=sha256:5400bc7d573b588426fd663f51465d200ddefa240b8ad9d394104352a5ea062a

Observation ca03a707-ebbf-4c17-a262-c656ca240897 · outbound

This paper cites Constrained elastic curves and surfaces with spherical curvature lines.Indiana University Mathematics Journal, (72(5):2059–2099), 2023.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.545422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.166939Z digest=sha256:5ebd1803ac0da93bd9164ff8bb85db4ef2772c1f41d453614256d9c15efc710a

Observation f70e3db6-a56f-4313-93d0-a906a9a5cd4b · outbound

This paper cites Discrete mKdV equation via Darboux transformation.Math- ematical Physics, Analysis and Geometry, 24, 09 2021.doi:10.1007/s11040-021-09398-y.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.532603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.170374Z digest=sha256:16269e7649418e2b536911c644760ff0d8020910a9c126b7cd2e95e5fcceab0b

Observation 42dfd543-a6d6-45c9-97b2-71c9e2dbbc1d · outbound

This paper cites Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio prob- lematis isoperimetrici lattissimo sensu accepti.Marcum-Michaelem Bousquet, 1744.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.225991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.173866Z digest=sha256:0d699da7361b3e2a2905bb579771591e6c4fb40805d899f5574ed5e409aaef59

Observation 7962e4ef-ebbe-46d9-a5da-774bd3046b61 · outbound

This paper cites Goldstein and Dean M.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Goldstein and Dean M

Reference 22

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.519646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.178208Z digest=sha256:c118fd2f4af357f606a22bde16f9c62428606a508e4d5f0c9e5aebf4b8c47700

Observation c4f8677a-15c9-40cd-9cba-d5cbe1784b71 · outbound

This paper cites 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.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.507472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.181495Z digest=sha256:8cd17171f6c6019b143348723457270fa078e8fded63f60fbf91d7466d7aa5bf

Observation 0f736515-27c6-45eb-8ff5-337fb8f25f9b · outbound

This paper cites The design space of plane elastic curves.ACM Transactions on Graphics, 40(4), 2021.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T16:17:10.185047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:17:10.185047Z digest=sha256:cd8c0d8d5043f96f28e857bb0cdc4043d00a61f09a751842c81bd9ba5c68847d

Observation d5516ddc-6fff-400f-807d-921e02caf08f · outbound

This paper cites Constrained Willmore tori and elastic curves in 2-dimensional space forms.Comm.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.495192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.188408Z digest=sha256:05f6c2346b19d3858ea3b5fb60f679376bd3f4af2ccc621a7ce0710ca99d285f

Observation 049aa13b-440c-4aca-add6-4936ce62e729 · outbound

This paper cites Periodic discrete conformal maps.J.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Periodic discrete conformal maps.J

Reference 26

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.481780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.191677Z digest=sha256:f863f26d7f267b1d61e91eee128c3ee4761b2c9aca6dcb533271cea6facb49c1

Observation 652d8ca9-9291-4009-9f31-d2e9c33e6b84 · outbound

This paper cites Discrete Hashimoto surfaces and a doubly discrete smoke-ring flow.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.469226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.195075Z digest=sha256:82ab018f44d924d338fb60d00499b80854d278c75b15d8419d48f03208db7149

Observation 689f49e8-3cdb-46b3-b1b2-aaa9fdeaf26c · outbound

This paper cites Discrete differential geometry of curves and surfaces.Kyushu University Lecture Note Series Vol.18, 2009.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.215119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.198425Z digest=sha256:91ce0d9df6160284ae6bb500a0a8d8cada0eab68fcb486c5a7ca804359d5a036

Observation a67713fd-825f-4f10-b221-32b7ed2b509c · outbound

This paper cites Discrete curves inCP1 and the Toda lattice.Studies in Applied Mathematics, 113(1):31–55, 2004.

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

Resolution
verified exact
raw_fallback, observed 2026-08-10T16:17:10.921045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.201802Z digest=sha256:145cf3fc9896d21a0a60e046ddaa74aceb231ffd9ee714aa851d22030e19283e

Observation 2e942f70-60a8-4a17-a600-a3822e7d358b · outbound

This paper cites Skew parallelogram nets and universal factorization.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Skew parallelogram nets and universal factorization

Reference 30

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T16:17:10.457083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.205142Z digest=sha256:6785a052fdaf8f44f379da3b9606668e2e4c0d427a66e83e51402ed3a6a0d963

Observation 94b637d7-0242-41c0-89b1-38ce03b86f54 · outbound

This paper cites Isothermic nets with spherical parameter lines from discrete holomorphic maps.

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

Resolution
verified exact
local_arxiv, observed 2026-08-10T16:17:10.441410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.208972Z digest=sha256:ae6a1ebc510bcf8d5f9274bfea812e6cef5b308a05a4a9ae06e6ab2778303ff6

Observation 6c1f627f-2b40-439b-a5e6-64c0b431e815 · outbound

This paper cites Discrete mKdV and discrete sine- Gordon flows on discrete space curves.Journal of Physics A: Mathematical and Theoretical, 47(23):235202, may 2014.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.425747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.212722Z digest=sha256:268f78a67203e1decbfddd17c5b4d13c08e1ee527861d4b01e215663afa1c936

Observation 5bf5e375-a8cb-4036-9d44-11233dfe4f3e · outbound

This paper cites Polygon recutting as a cluster integrable system.Selecta Mathematica, 29(2):21, 2023.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.412893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.216045Z digest=sha256:c141de7f78bf8fd22b759b72b2e22d76d7e0b1302d008d0388ab3b6c1d6288c7

Observation 266b0f9e-7e75-4fdc-bb15-1558393460c1 · outbound

This paper cites Poisson geometry of the filament equation.Journal of Nonlinear Science, 1:71–93,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.204504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.219214Z digest=sha256:d8205f279abe7256cf6c5a890ef7e961e6b611bbdd6aac6571f9dfc27d6734fc

Observation 0f7e28e5-53ba-40d3-ba46-63fd583be40c · outbound

This paper cites an unresolved cited work.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-10T16:17:10.226189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:17:10.226189Z digest=sha256:6f99b4cdfc402baf4752bbe6ba3049a14f8a56ca356d48d346267b9014055ea8

Observation 0449a1c8-0a04-46d1-adff-59d700317fbb · outbound

This paper cites Scharler, and Hans-Peter Schröcker.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Scharler, and Hans-Peter Schröcker

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-10T16:17:10.229695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:17:10.229695Z digest=sha256:10fdae495d499dc77958352fca3b9415b91409a3a241ccf46bd66ea8b7a90633

Observation e59c8d05-1ba0-4f3f-8c5c-a81151080e3b · outbound

This paper cites From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.382555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.233054Z digest=sha256:6f0093f03bcdc48e65ec31198e5175cf47752a8d4b978292ac4cd31717a8f378

Observation 97763187-54c4-4ee2-99cf-d88484a62a13 · outbound

This paper cites Equations in quaternions.The American Mathematical Monthly, 48(10):654–661, 1941.

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

Resolution
verified exact
raw_fallback, observed 2026-08-10T16:17:10.766187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.236439Z digest=sha256:853b7241f9f929b22b445333edbbcd2c949a4b282b6b08ba8e5fec14556e65b8

Observation 73e2d09b-d001-4cb6-aa2a-b7868458ce2d · outbound

This paper cites Compact Textbooks in Mathematics.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Compact Textbooks in Mathematics

Reference 39

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.370696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.239688Z digest=sha256:9e751a7e98db56465fb8c2ef80239ebfe1b189a22180aa3838e1014675dc7c17

Observation 3bfeba17-5126-4fea-b4a9-8cebb7f52a57 · outbound

This paper cites 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,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.193733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.243255Z digest=sha256:dc1f85135a6231641eeb4d2d128f35a63fc78295824e4069bb135b42c79b0eec

Observation 1d5c972c-0a36-478b-abda-2d2045f3eb8d · outbound

This paper cites Springer-Verlag, 1970.doi:10.1007/978-3-642-86411-7.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.346377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.250602Z digest=sha256:f589b410d5f21efb487b8bfbabeb1fec8b1c27d68e6a0dd123edc5a5945277ac

Observation 0e09e1d9-deeb-49a2-b7d4-48361f811b3e · outbound

This paper cites an unresolved cited work.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work

Reference 42

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.333046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.254188Z digest=sha256:fc6f73185716f6b3c382fc2da1d890d546f5abcec6a7150d57a6dfa12a177d8f

Observation 2e8fbc39-291c-4be3-a7e0-ad77ae20a456 · outbound

This paper cites On skew parallelogram nets, PhD thesis in preparation.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves On skew parallelogram nets, PhD thesis in preparation

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.182481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.258196Z digest=sha256:4e132ad54be9e4bfaa027eb58064a8983cac0cba37285ba26242a6bda10d6616

Observation 746ed4ce-dca0-4de2-b4bc-46d1e6d052ea · outbound

This paper cites On the discrete bicycle transformation.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves On the discrete bicycle transformation

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-10T16:17:10.320664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.261776Z digest=sha256:262592443c9c9161821b4e955053e2f4eb8b7f973406668d7a4b81252a502591

Observation e890b598-253f-49e8-b472-eb53111e0223 · outbound

This paper cites Einfache elastische Kurven.Dissertation, TU Berlin, 1991.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Einfache elastische Kurven.Dissertation, TU Berlin, 1991

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:17:11.169924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.265870Z digest=sha256:1df760d4664a5095630d526b84148e9a5ad4e4207bc3d47c0f487c2b5b795704

Observation e6c09177-efe9-41bf-999f-77be5d8285f8 · outbound

This paper cites Fairing of discrete planar curves by discrete Euler’s elasticae.JSIAM Letters, 11:73–76, 2019.doi:10.14495/jsiaml.11.73.

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

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.303436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.269464Z digest=sha256:0a18dd1788363b0002f7ba67ce273e4364868a32582582ab0c233e2e98118568

Observation ea7bddac-35bc-4126-a3e7-6cb2c07dedce · outbound

This paper cites an unresolved cited work.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work

Reference 1991

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.400871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.222723Z digest=sha256:caf577e3ee9ac5b7675a41243db433b907a6e49e7db5186fd66ded25ef4e853f

Observation 35c8fdc7-1e0d-43fe-b647-c3db8597c83e · outbound

This paper cites an unresolved cited work.

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves Unresolved cited work

Reference 2007

Resolution
verified exact
doi, observed 2026-08-10T16:17:10.358959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T16:17:10.246763Z digest=sha256:6765f81f5bff34f25f3bf9992f4c25899b21ee144d7019921918ab4f36ac1813

Pith citing papers

No inbound Pith citation observations are available.