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Paper Citation Record · LEDGER

Gap phenomena for constant mean curvature surfaces

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.09952.

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

pith.paper-citation-record.v1
1908.09952 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:08:33.365243Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

14 of 14 outbound references displayed

  • verified exact3
  • verified fuzzy4
  • unresolved7
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9b164ca-9428-4873-b9b1-06da5fc11ec0 · outbound

This paper cites an unresolved cited work.

Gap phenomena for constant mean curvature surfaces Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:08:34.762601Z

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.

source=pdf_text observed=2026-08-14T11:08:33.015719Z digest=sha256:b7a426495af0606d7e49ecbf16a73b444d56b9441101c2f46228a2b75f07e716

Observation ad1aa2c3-d243-4beb-9551-07bd9fbbc4cc · outbound

This paper cites A gap theorem for free boundary minimal surfaces in the three-ball.

Gap phenomena for constant mean curvature surfaces A gap theorem for free boundary minimal surfaces in the three-ball

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:08:33.754112Z

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.

source=pdf_text observed=2026-08-14T11:08:33.107302Z digest=sha256:4c81707a996c15db24c06a9cb222f1da7f9bc9068a32f2cbc56ce5adef0f433b

Observation c3924c7b-9107-4f48-8ae3-fe5f544226c1 · outbound

This paper cites Uniqueness results for free-boundary minimal hypersurfaces in conformally Euclidean balls and annular domains.

Gap phenomena for constant mean curvature surfaces Uniqueness results for free-boundary minimal hypersurfaces in conformally Euclidean balls and annular domains

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:08:33.651229Z

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.

source=pdf_text observed=2026-08-14T11:08:33.113181Z digest=sha256:da77514542d2a12008214c9f6449975a4fe3e7ef472fc7e2d43c8c5630ebe65f

Observation 4430846e-5dcc-4950-a0f8-d381295726fd · outbound

This paper cites Cavalcante, Abra˜ ao Mendes, and Feliciano Vit´ orio, Vanishing theorems for the cohomology groups of free boundary submanifolds, Ann.

Gap phenomena for constant mean curvature surfaces Cavalcante, Abra˜ ao Mendes, and Feliciano Vit´ orio, Vanishing theorems for the cohomology groups of free boundary submanifolds, Ann

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:08:34.750192Z

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.

source=pdf_text observed=2026-08-14T11:08:33.118484Z digest=sha256:1519adc2c714bb3f5192da62e876b82fdfb486bda914119bba2781d2a6461f73

Observation 92f782ba-e588-409b-a803-976c97db75b7 · outbound

This paper cites an unresolved cited work.

Gap phenomena for constant mean curvature surfaces Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:08:34.647937Z

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.

source=pdf_text observed=2026-08-14T11:08:33.123188Z digest=sha256:ed2b3940be9c0b1e7d62f6aff7aaf87c8bfaa512796944418d24a5a1554bd199

Observation 6d549624-b135-4c46-94a9-23af659d631a · outbound

This paper cites an unresolved cited work.

Gap phenomena for constant mean curvature surfaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:08:34.519369Z

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.

source=pdf_text observed=2026-08-14T11:08:33.129662Z digest=sha256:132cfd1184287f4d2c979b633d0ff023da3c548f7bf2fc6b88969ea286c250d4

Observation 5a2ea480-1357-4530-a65e-2dfd74095cce · outbound

This paper cites 154 (2017), no.

Gap phenomena for constant mean curvature surfaces 154 (2017), no

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:08:34.505646Z

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.

source=pdf_text observed=2026-08-14T11:08:33.134124Z digest=sha256:4b5879c104e1f094cefa55f005101ab5d5a69c8f8d8617f9054fa6be1b1fc374

Observation 707edb48-5feb-45db-a4df-bd6dabcb0b4d · outbound

This paper cites an unresolved cited work.

Gap phenomena for constant mean curvature surfaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:08:34.407390Z

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.

source=pdf_text observed=2026-08-14T11:08:33.164048Z digest=sha256:3d12f273780e5290fd9bdc3f5ed9400897538a0f75cff4bd56bea1fd32ec595e

Observation 8da9b529-cb30-46d8-9ff5-799c8f1e4558 · outbound

This paper cites Free-boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc.

Gap phenomena for constant mean curvature surfaces Free-boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:08:33.554330Z

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.

source=pdf_text observed=2026-08-14T11:08:33.271538Z digest=sha256:88c8d686bc4ccd56716b9ff0885e542bc05ba6be46dd09da67c329f9e2867938

Observation 4e1be40e-2efc-493d-9825-89e0a0619a1c · outbound

This paper cites an unresolved cited work.

Gap phenomena for constant mean curvature surfaces Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:08:34.200343Z

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.

source=pdf_text observed=2026-08-14T11:08:33.276357Z digest=sha256:3b1f2217553649a8405164534a9bb8dbe02ade65d0261302c54dc6212053a1c9

Observation afea1679-6138-4628-a29e-915c0dfc4d2f · outbound

This paper cites Free boundary minimal surfaces of unbounded genus.

Gap phenomena for constant mean curvature surfaces Free boundary minimal surfaces of unbounded genus

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T11:08:33.281844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 02fda5b0-5b5e-4e46-bb90-bfedf7cd51c1 · outbound

This paper cites Blaine Lawson, Jr., Local rigidity theorems for minimal hypersurfaces , Ann.

Gap phenomena for constant mean curvature surfaces Blaine Lawson, Jr., Local rigidity theorems for minimal hypersurfaces , Ann

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:08:34.185983Z

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.

source=pdf_text observed=2026-08-14T11:08:33.286390Z digest=sha256:37fa16efc8ec054eb61e61fb90d5ab05732a657728570bafeb1c6b4e8037085a

Observation aff809ad-d24a-45e0-93f8-2a2d72991f97 · outbound

This paper cites an unresolved cited work.

Gap phenomena for constant mean curvature surfaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:08:33.939325Z

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.

source=pdf_text observed=2026-08-14T11:08:33.291546Z digest=sha256:cbfa0a95453e8098a13f5613e2694bb57ddb2b7c3acef2468fa87c463033fc28

Observation fb292c79-fdb6-4d47-8002-c61d57d0ecc6 · outbound

This paper cites Dedicata 56 (1995), no.

Gap phenomena for constant mean curvature surfaces Dedicata 56 (1995), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:08:33.924841Z

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.

source=pdf_text observed=2026-08-14T11:08:33.365243Z digest=sha256:5e0375044609f1c692522c751da09f852c709d978b43514b36c095c26564fe3e

Pith citing papers

No inbound Pith citation observations are available.