Paper Citation Record · LEDGER

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces

As of 9 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2509.01256.

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

pith.paper-citation-record.v1
2509.01256 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:48:55.790601Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:25:36.280643Z

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 exact10
verified fuzzy16
unresolved20
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7bb86c06-a4f0-418c-aea7-4779e34cfefb · outbound

This paper cites Angenent, S.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Angenent, S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:07.419276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 348434e7-f6f2-4905-b094-c120bc28e4ec · outbound

This paper cites Bajcsy and S.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Bajcsy and S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:06.959375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8ad0ebe8-267d-446c-8555-645b2ac37b44 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:06.617997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7d039292-ec68-4dfd-8159-3aaef77d7d1c · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 4

Resolution: malformed identifier; no resolver link, observed 2026-08-05T12:48:52.496345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aed0feb5-0e18-4f4f-a2f7-195a60b593a7 · outbound

This paper cites Boumal, An introduction to optimization on smooth manifolds, Cambridge University Press, 2023.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Boumal, An introduction to optimization on smooth manifolds, Cambridge University Press, 2023

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T12:48:52.584813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4fcf44f-0566-4a83-ac18-afff722767da · outbound

This paper cites Chow and F.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Chow and F

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:06.247362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c7a719ca-6364-4395-9956-716a3c980b64 · outbound

This paper cites Colin de Verdi`ere, Comment rendre g´ eod´ esique une triangulation d’une surface?, Enseign.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Colin de Verdi`ere, Comment rendre g´ eod´ esique une triangulation d’une surface?, Enseign

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:05.897019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8adf86f7-3a7e-4e56-acb9-99bdb1c00d5c · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:05.398912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3fb2b1ba-21a3-4a24-a5d3-9d685c1a7ae7 · outbound

This paper cites Desbrun, M.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Desbrun, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:05.095671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation eab324b0-7d65-4db4-a684-7b194de1973f · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-08-05T12:48:57.024875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 77dcbec7-954a-4530-831a-c4009e782581 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:04.642081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5aecf1a5-1bcb-40bd-9a80-3a3f33a92092 · outbound

This paper cites Erickson and P.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Erickson and P

Reference 12

Resolution: verified exact; doi, observed 2026-08-05T12:48:56.863331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5eeb8fd4-c889-48a9-836b-6a7bcbbb5e5d · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:04.226083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 995da918-7efd-4d57-bb3d-d7bbf498ac21 · outbound

This paper cites Computing discrete equivariant harmonic maps.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Computing discrete equivariant harmonic maps

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:48:57.487367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2c3fcc95-893d-4551-bafe-0d2fd006c8a8 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:03.854136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 82e329c6-4585-4b64-934e-afba766ea74e · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-08-05T12:48:53.439393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4ea83b5-aa65-4ea6-b9ea-bbcc39fd8df9 · outbound

This paper cites Gu and S.-T.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Gu and S.-T

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:03.461046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 02f154a9-a0e1-448a-8f65-1d05f8536d8e · outbound

This paper cites Haker, L.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Haker, L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:03.148315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3dc68ef3-37dd-4c14-a6fb-39e196b2c405 · outbound

This paper cites Isenburg and P.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Isenburg and P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:02.671943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2420de58-ae89-427f-a732-30a7f9e009eb · outbound

This paper cites Izmestiev and W.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Izmestiev and W

Reference 20

Resolution: verified exact; doi, observed 2026-08-05T12:48:56.730931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 04adee37-8ec0-4c7a-9025-57ba834abeee · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:02.349379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ea408690-73d6-458c-b824-f9ddde00457b · outbound

This paper cites Jost , Harmonic maps between surfaces , vol.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Jost , Harmonic maps between surfaces , vol

Reference 22

Resolution: verified exact; doi, observed 2026-08-05T12:48:56.544803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 63cb3bb2-b92f-4bf9-81e7-f28e49e576bb · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T12:48:54.002448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58a9ca4e-cd1f-4f97-8694-726a3fc3a4b0 · outbound

This paper cites Kajigaya and R.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Kajigaya and R

Reference 24

Resolution: verified exact; doi, observed 2026-08-05T12:48:56.398277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9f0c7eb6-798c-48fe-b4af-a395d2cd67b9 · outbound

This paper cites Kotani and T.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Kotani and T

Reference 25

Resolution: verified exact; doi, observed 2026-08-05T12:48:56.249809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 873ee5ee-ea27-490d-929d-b60716f9d2fa · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 26

Resolution: verified exact; doi, observed 2026-08-05T12:48:56.107827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 29d97608-783a-487e-bbce-92f82b8b83f4 · outbound

This paper cites Discrete harmonic maps between hyperbolic surfaces.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Discrete harmonic maps between hyperbolic surfaces

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:48:57.236033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8025de40-1489-471b-9078-4d03555db4e6 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:01.955638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 14c20d08-4174-4cad-a3a8-dea892f92301 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:01.575423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7c939abf-bc5d-46a1-a905-46460f1fe922 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:01.145771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c453e504-8983-471d-9a4c-dd600ea910bf · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:00.810547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 103b226a-fc78-4c76-b837-a5a673c22bb6 · outbound

This paper cites Luo , Combinatorial Yamabe flow on surfaces , Commun.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Luo , Combinatorial Yamabe flow on surfaces , Commun

Reference 32

Resolution: verified exact; doi, observed 2026-08-05T12:48:55.947076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1a1e779f-6a80-4b6a-b619-9db5ff3547c1 · outbound

This paper cites Marchandise, C.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Marchandise, C

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:49:00.381875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cd860bd3-541d-4b1f-90dc-da8fa7516444 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:49:00.033608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e9a7aaea-519f-4de4-93d7-55d896c95511 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:59.768216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6f37f615-c821-4bcb-8d31-c7a4187b15ca · outbound

This paper cites Persson and G.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Persson and G

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:59.581011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e30d5b60-2c03-4bde-ae35-9a8efcb666d7 · outbound

This paper cites Pinkall and K.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Pinkall and K

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:59.390590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1042ad21-84d9-46a1-a56f-3a20d7c45a3d · outbound

This paper cites Remacle, C.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Remacle, C

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:59.216411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e5ea80a1-8543-4f7c-85e7-605dad63518a · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:59.030726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ffcc7302-57d3-48e4-89e8-6d6d08042c9a · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:58.885579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4f866005-2145-4ab0-9e58-71f1893051c0 · outbound

This paper cites V aillant, M.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces V aillant, M

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:58.697456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d099175e-90eb-47f8-a1e4-99b562155d46 · outbound

This paper cites W ang, Y.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces W ang, Y

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:58.544887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c81893a1-2201-4e37-9758-c7381d7239b8 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:58.391185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8b001849-1a00-4bae-bc8f-6c70636201de · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:58.201116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1a2568b5-cae0-40d0-a6fc-e887ca4fe461 · outbound

This paper cites Zhang and M.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Zhang and M

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:57.997306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 32bb222d-c065-46dc-ad20-d231ada71ea3 · outbound

This paper cites Zhang, R.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Zhang, R

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:57.818401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d1767829-5126-400d-a0eb-dfa8168f255f · outbound

This paper cites Thingi10K: A Dataset of 10,000 3D-Printing Models.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Thingi10K: A Dataset of 10,000 3D-Printing Models

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-05T12:48:55.693313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63076ebf-e12d-4b47-b789-04b1ae400c93 · outbound

This paper cites an unresolved cited work.

A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:57.642184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation 8c881042-6767-44a8-9923-9e9bb87de1f7 · inbound

Morphing Graphs on Hyperbolic Surfaces cites this paper.

Morphing Graphs on Hyperbolic Surfaces A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T07:25:36.280643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.