Paper Citation Record · LEDGER

Embeddedness and graphicality of the elastic flow for complete curves

As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2508.18979.

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

pith.paper-citation-record.v1
2508.18979 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:13:13.117188Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:35:40.141439Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T10:56:52.710280Z

Reference resolution

17 of 17 outbound references displayed

verified exact1
verified fuzzy12
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40f7745c-4e6a-4842-87bd-546c81727b25 · outbound

This paper cites Blatt, Loss of convexity and embeddedness for geometric evolution equations of higher order, J.

Embeddedness and graphicality of the elastic flow for complete curves Blatt, Loss of convexity and embeddedness for geometric evolution equations of higher order, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.920321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d733cac-ee68-4deb-8c3a-5598485497e1 · outbound

This paper cites Dall’Acqua, C.-C.

Embeddedness and graphicality of the elastic flow for complete curves Dall’Acqua, C.-C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.895980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e5a353f-cc82-4120-955b-8e1785951ffd · outbound

This paper cites Dziuk, E.

Embeddedness and graphicality of the elastic flow for complete curves Dziuk, E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.867277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 59225a9d-4607-4c89-bd37-8088580c2555 · outbound

This paper cites an unresolved cited work.

Embeddedness and graphicality of the elastic flow for complete curves Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:13:13.841602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7634b7c7-c5eb-4799-8d0c-77d946d4e74b · outbound

This paper cites Kemmochi and T.

Embeddedness and graphicality of the elastic flow for complete curves Kemmochi and T

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.818068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 02505e81-3338-4c31-ab07-f63d6fb0fd2a · outbound

This paper cites Mantegazza, A.

Embeddedness and graphicality of the elastic flow for complete curves Mantegazza, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.794151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 525166d9-5c3e-4308-af47-fb8b24fe5e48 · outbound

This paper cites Miura, Elastic curves and phase transitions , Math.

Embeddedness and graphicality of the elastic flow for complete curves Miura, Elastic curves and phase transitions , Math

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.767046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ceab6b9c-2552-443e-b281-b0211c462e96 · outbound

This paper cites Miura, Li-Yau type inequality for curves in any codimension, Calc.

Embeddedness and graphicality of the elastic flow for complete curves Miura, Li-Yau type inequality for curves in any codimension, Calc

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.745252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 603450f3-7e0a-414b-baa0-0b26f213e708 · outbound

This paper cites Miura, Elastic curves and self-intersections, arXiv:2408.03020, to appear in 2024 MATRIX Annals (2024).

Embeddedness and graphicality of the elastic flow for complete curves Miura, Elastic curves and self-intersections, arXiv:2408.03020, to appear in 2024 MATRIX Annals (2024)

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T16:13:13.066941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c31add0-c4ea-4432-988f-d6897b645eba · outbound

This paper cites Miura, Migrating elastic flows II, Int.

Embeddedness and graphicality of the elastic flow for complete curves Miura, Migrating elastic flows II, Int

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.718591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0f0f61df-cabd-44ac-b294-87fa49173a09 · outbound

This paper cites Miura, M.

Embeddedness and graphicality of the elastic flow for complete curves Miura, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.693535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 86e09c32-b474-426e-b73a-117cf160f607 · outbound

This paper cites Miura and F.

Embeddedness and graphicality of the elastic flow for complete curves Miura and F

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-05T16:13:13.452311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6daf028-8a88-43e6-95d1-312bfa81330e · outbound

This paper cites Miura and G.

Embeddedness and graphicality of the elastic flow for complete curves Miura and G

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T16:13:13.090752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e11cc42d-ee11-45c5-897b-ec68452fe233 · outbound

This paper cites Miura and K.

Embeddedness and graphicality of the elastic flow for complete curves Miura and K

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.672212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation afb4dc71-5e7f-4181-b3af-1823a996a209 · outbound

This paper cites M¨ uller and F.

Embeddedness and graphicality of the elastic flow for complete curves M¨ uller and F

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.648231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9c0c30e9-8e58-474f-b37a-2ec6145c7a88 · outbound

This paper cites Novaga and S.

Embeddedness and graphicality of the elastic flow for complete curves Novaga and S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:13:13.626436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 83a8ac9e-808a-428d-9df2-48510a771134 · outbound

This paper cites an unresolved cited work.

Embeddedness and graphicality of the elastic flow for complete curves Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:13:13.599038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 3ac3e1cd-e520-4a8b-9ff4-278adf026d2c · inbound

Calibration energy and mean curvature flow cites this paper.

Calibration energy and mean curvature flow Embeddedness and graphicality of the elastic flow for complete curves

Reference 63

Resolution: verified exact; arxiv_id, observed 2026-07-02T10:56:52.711776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2934539c-08ac-49e9-825e-2f08b5b6e025 · inbound

One thousand and one higher-order geometric flows of networks cites this paper.

One thousand and one higher-order geometric flows of networks Embeddedness and graphicality of the elastic flow for complete curves

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:40.141439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.