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Paper Citation Record · LEDGER

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space

As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2505.24109.

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

pith.paper-citation-record.v1
2505.24109 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:45:06.194746Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T09:36:48.684240Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T20:16:11.339790Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa2d21b1-a985-4a3a-ac15-194c6d76aef8 · outbound

This paper cites an unresolved cited work.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:45:10.590286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:03.901383Z digest=sha256:3f1fc469a46934c390292f997831dc9884110e0d8b672d2a2361b4d15a21692e

Observation a0d1c45a-8089-425c-bbd5-e71544a0d49f · outbound

This paper cites an unresolved cited work.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:45:10.406412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.014746Z digest=sha256:17be163b9697250b14be3a1c800b453874700e421c6f24113ebf10a4ed4650c6

Observation f2cf96c1-799c-4606-8e51-171eff32be80 · outbound

This paper cites Bombieri, E.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Bombieri, E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:10.290462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.085399Z digest=sha256:ce19003dc8705e86683b3c69214f923bc87a701729b0a562d84544da0a154281

Observation 60cb4899-d252-45af-87a7-bf75535bcf8a · outbound

This paper cites Calabi, Examples of Bernstein problems for some nonlinear equations , in Global Analysis (Proc.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Calabi, Examples of Bernstein problems for some nonlinear equations , in Global Analysis (Proc

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:10.138035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.212557Z digest=sha256:8aa4fad024e10659cfa4f8bcf576546d3a04e0c5e84ba224f6d867fa050645e8

Observation 4e8d9508-1c1e-4ccf-b3f3-ae0314fbc925 · outbound

This paper cites an unresolved cited work.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:45:09.925691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.324856Z digest=sha256:63b03887f8bf6acf6d8557d87ba57d13f6d677f562cb5b7efc03550db18378f2

Observation 8101f9ad-37c2-402b-b5ef-d19e976c557d · outbound

This paper cites an unresolved cited work.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:45:09.754388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.442346Z digest=sha256:9c47fb29a5566a76a53777850da7ed7affa1201cc2772109970fde634317d4a7

Observation ace3dc99-3fd7-4b3f-a46b-b50bc6e087a4 · outbound

This paper cites Choi and A.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Choi and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:09.584503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.537155Z digest=sha256:17b3c31caea4c694e9504844843442c3a16bf6996b5851c9a929cd72acc3ad1f

Observation 99f5790e-bfad-4369-975a-189d3303912c · outbound

This paper cites an unresolved cited work.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:45:09.349902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.647953Z digest=sha256:4b6e49cb4b2e340a2e3b05e75f60296216cfe75452c52e182406f155a8b463f6

Observation f2df8e3c-11b3-45b0-a211-4c21e878c6c8 · outbound

This paper cites De Giorgi, Una estensione del teorema di Bernstein , Ann.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space De Giorgi, Una estensione del teorema di Bernstein , Ann

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:09.210624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.794829Z digest=sha256:cbf87ee9910ed8a74014dbac0e2822fc60c1ebe61e4d329b5aceedcea4dc1eda

Observation fe054cb1-5c2d-40d0-976f-a6011f53967e · outbound

This paper cites Dierkes, S.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Dierkes, S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:09.028756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.870413Z digest=sha256:f89823171208209299cd1120a0018948059f503c76726dbf9bb5dafa458b505a

Observation 99723fcd-0b0b-424f-8adf-d6c3d3119da3 · outbound

This paper cites Flanders, Remark on mean curvature, J.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Flanders, Remark on mean curvature, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:08.864680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:04.996314Z digest=sha256:dbc84ec6ba30adbf8f67f8516cfe391b5c1b3c728f9ec5035922072adab3b41f

Observation 22e90cb0-1658-430f-9bab-997b0d71d8f3 · outbound

This paper cites an unresolved cited work.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:45:08.700980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.099285Z digest=sha256:02504dc0be293fd7c0088a03e784265e1f2710e98961e9af3d0cabb91363d31b

Observation ec1ba023-e396-42d2-bba9-4c5a7bc286cb · outbound

This paper cites Heinz, ¨Uber Fl ¨achen mit eindeutiger projektion auf eine ebene, deren kr ¨ummungen durch ungle- ichungen eingschr¨ankt sind, Math.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Heinz, ¨Uber Fl ¨achen mit eindeutiger projektion auf eine ebene, deren kr ¨ummungen durch ungle- ichungen eingschr¨ankt sind, Math

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:08.459997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.249401Z digest=sha256:1d711072b489426a9def38253d926154d33982c5c2fc793f9a294466eace8bae

Observation 7128c9be-95c1-45c5-ac40-93bbe1f862c0 · outbound

This paper cites Honda, Y.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Honda, Y

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:08.332008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.360019Z digest=sha256:7e554b97162e91bf7aeb08497b503c0c803b5bee40f94d5453a6280d66f267f9

Observation 2edea8fc-ee13-4611-99ec-8c44dd58dc5e · outbound

This paper cites J ¨orgens, ¨Uber die L¨osungen der Differentialgleichung𝑟𝑡−𝑠2, Math.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space J ¨orgens, ¨Uber die L¨osungen der Differentialgleichung𝑟𝑡−𝑠2, Math

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:08.122613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.486693Z digest=sha256:c037a0c6287aafd73d61a52975244acbb92798e74607b5a0be900258006f7962

Observation 48c5fa76-6bed-4d44-af36-ccf9bbf25713 · outbound

This paper cites Reilly, The relative differential geometry of nonparametric hypersurfaces, Duke Math.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Reilly, The relative differential geometry of nonparametric hypersurfaces, Duke Math

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:07.924849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.614750Z digest=sha256:d3ee3bb60ed2380fcc761b7efd52b32135f87af6d72d139b32ac69f42300b129

Observation 810d9576-d542-4608-86c4-bda4fbef9bc1 · outbound

This paper cites Sachs, Isotrope Geometrie des Raumes, Friedr.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Sachs, Isotrope Geometrie des Raumes, Friedr

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:07.765725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.726813Z digest=sha256:258df0876e13cb330ee8f3681148f825ac9b6b608902731944bb56dc154b391c

Observation 549b90af-5f05-42f9-90e6-c0727b563354 · outbound

This paper cites Sato, On the classification of ruled minimal surfaces in pseudo-euclidean space, Math.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Sato, On the classification of ruled minimal surfaces in pseudo-euclidean space, Math

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:07.625753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.784803Z digest=sha256:aa0cc281cdaf7e84309555bcd11a14cb17f7a6fa647b963ac1b8a1004f98e742

Observation b3891ec4-af5d-4d67-816e-a0597b877a3e · outbound

This paper cites an unresolved cited work.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:45:07.394254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.854957Z digest=sha256:794c343115f9a3411e57b25ee62f253aacc0ff6802533ff532971818873c7acb

Observation f531febe-c8ca-4147-930e-68cd070c512e · outbound

This paper cites an unresolved cited work.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:45:07.154849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:05.944838Z digest=sha256:c6f361c6a6ee387bd03d664c0e9297b20206ec7d0d3f1a490e764c482f1f68a7

Observation 7433b41c-0f27-4253-be9e-5740ca6e9a91 · outbound

This paper cites Simons, Minimal varieties in Riemannian manifolds, Ann.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Simons, Minimal varieties in Riemannian manifolds, Ann

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:06.965044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:06.044825Z digest=sha256:521984067bb698887395406765cf1760ffe42cb7693e14c544c252a4d0db6774

Observation f7eb0dfd-4494-46af-a045-99318751ad51 · outbound

This paper cites Strubecker, Differentialgeometrie des isotropen Raumes.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Strubecker, Differentialgeometrie des isotropen Raumes

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:06.585028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:06.140801Z digest=sha256:e6f4fd88b5fabbb8358571fd628b97c084d4ea4cd646eb1fcd5fabf34b33b57a

Observation eb36a1d2-452b-406f-b1dd-bc273e316121 · outbound

This paper cites Treibergs, Entire spacelike hypersurfaces of constant mean curvature in Minkowski space, Invent.

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space Treibergs, Entire spacelike hypersurfaces of constant mean curvature in Minkowski space, Invent

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:06.364787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:45:06.194746Z digest=sha256:fa2ef11fb06cbe820fab24719223a64c07c7fda3c6f1617fc785b5171c3a30fe

Pith citing papers

Observation bfcfb072-bebb-4103-8540-81f4c3a91d2a · inbound

A new framework of zero mean curvature surfaces in the isotropic 3-space cites this paper.

A new framework of zero mean curvature surfaces in the isotropic 3-space Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-08-04T00:35:57.102278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-08T09:36:48.684240Z digest=sha256:0afb72cc2d958328dec43acb8da0734454fcc21ad562665121bc386a3c8da9e8