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Paper Citation Record · LEDGER

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space

As of 7 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.22375.

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

pith.paper-citation-record.v1
2507.22375 v3

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:59:43.425934Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

25 of 25 outbound references displayed

  • verified exact5
  • verified fuzzy14
  • unresolved6
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1b5b42e5-65dd-4493-b67c-66f6e1d31943 · outbound

This paper cites an unresolved cited work.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:59:44.024999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.284605Z digest=sha256:e338d095dec4767ec5f92f61247664fcfea355b995715f9c0f9fe7f2d9b08477

Observation 5a3e6292-a2f8-418d-a831-7af4558c56d2 · outbound

This paper cites an unresolved cited work.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:59:44.006286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.290572Z digest=sha256:1b0990fc11fe753469876f227bcb2f850bdd752f496ca1d78faeeedcc080fc66

Observation 7530a4f1-fbce-4c9a-82e2-5e58f421ec95 · outbound

This paper cites Tonegawa,Existence and regularity of constant mean curvature hypersurfaces in hyperbolic space, Math.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Tonegawa,Existence and regularity of constant mean curvature hypersurfaces in hyperbolic space, Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.985840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.296181Z digest=sha256:25acd26ed5210ebec52f8af90501a99bfc44e57ffef6154aff040d33ba34f10b

Observation 8ae3e801-cba6-4580-ae92-1e1239a14b42 · outbound

This paper cites Lin,On the Dirichlet problem for minimal graphs in hyperbolic space, Invent.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Lin,On the Dirichlet problem for minimal graphs in hyperbolic space, Invent

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.968487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.301599Z digest=sha256:6ddf30e0c32ba6b6794d6d029a4491e5107f7d9952e6f936395198372a48235d

Observation beb32a48-03ea-4719-a1cd-88c3d8c9031e · outbound

This paper cites Lin,Erratum: On the Dirichlet problem for minimal graphs in hyperbolic space, Invent.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Lin,Erratum: On the Dirichlet problem for minimal graphs in hyperbolic space, Invent

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.950553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.307656Z digest=sha256:eb75c729bde001bc9c2efd8ee623eebbca83a0f4193f33c2a4198980f18bb27e

Observation 1ecf36d5-8613-4aa7-8b46-1f96e6569e3b · outbound

This paper cites Nelli and J.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Nelli and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.933023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.313021Z digest=sha256:b1017984e0a466dc55e952ad0c80abd72a7b0ab83f96e3563f282138c4f07c71

Observation 36a7b3dc-6769-4deb-9627-32224bc92c50 · outbound

This paper cites Guan and J.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Guan and J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.915394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.319016Z digest=sha256:d12c07e0437c703f1086f58ea1454fe0362d6bb367fda45084b8b8f192a04b1b

Observation 9c52f956-e789-4baa-98c9-c8774fdb7a2c · outbound

This paper cites Labourie,Probl` eme de Minkowski et surfaces ` a courbure constante dans les vari´ et´ es hyper- boliques, Bull.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Labourie,Probl` eme de Minkowski et surfaces ` a courbure constante dans les vari´ et´ es hyper- boliques, Bull

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.896936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.324485Z digest=sha256:f565c6db88ea5973b65c5a652ed6071ccf866aa3fe8130fad016efd3cae60bf1

Observation c7868e7c-ee22-48d9-a186-c086145dccde · outbound

This paper cites Rosenberg and J.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Rosenberg and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.880137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.330375Z digest=sha256:13a6bf569633f2fb7ea79e4f301b706c7f7742a2a5fe947d9880b11f23b3fcce

Observation 1f6a1594-79c7-4235-9364-25d386d40550 · outbound

This paper cites Guan and J.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Guan and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.863462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.336833Z digest=sha256:3bf8b13d9ace6c04ca020771255709725aa1ef41648650d5359f66183ecc1323

Observation 2f088a8f-babb-440b-8716-7279fcda1ec1 · outbound

This paper cites an unresolved cited work.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:59:43.845785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.342510Z digest=sha256:3e852a44164d2d90ddf248a6ea826b639783d837397ea1a73de7c3d35d4552a9

Observation 57e9d439-5658-4a96-bd1f-1c57896d9351 · outbound

This paper cites Guan and J.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Guan and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.809534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.355476Z digest=sha256:2707c41baa131ff58ce4bdfcf7b8c503a143a64c926fece4ac347f98c5d36160

Observation 05c05149-8077-40ab-9e6a-146c60c86a00 · outbound

This paper cites Lu,On the asymptotic Plateau problem in hyperbolic space, Proc.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Lu,On the asymptotic Plateau problem in hyperbolic space, Proc

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.791848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.362121Z digest=sha256:2ead599ca3346cb77f1abd549b76406262fd5c1f837f245ec8a53f2f1a0de51e

Observation 302c041d-2a8e-4fa7-9b17-810079be9ea3 · outbound

This paper cites Curvature estimates for hypersurfaces of constant curvature in hyperbolic space.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Curvature estimates for hypersurfaces of constant curvature in hyperbolic space

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:59:43.681992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.367337Z digest=sha256:1f410413e3f84ed17db8808021049a5a41afafcaee30b32a627cdd42a2bfd734

Observation 98e5a805-fc9a-4ea9-86c1-d675c97028c7 · outbound

This paper cites Hypersurfaces of constant scalar curvature in hyperbolic space with prescribed asymptotic boundary at infinity.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Hypersurfaces of constant scalar curvature in hyperbolic space with prescribed asymptotic boundary at infinity

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:59:43.654490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.373009Z digest=sha256:16c4e5f1def934d61c8b4efe6ba26cbefb611fcdf7aa40bc48309d3f0ccf38b5

Observation 0d2510f1-3e3d-4ce2-b471-bc716b466dd6 · outbound

This paper cites Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:59:43.629468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.378740Z digest=sha256:2a5e24707e4a95e7b2171e46e4d24dd6e097267b70a9b5127b2a3b98b0afb539

Observation e5ea2384-9c4f-4866-98c4-5d48f6fc0ee2 · outbound

This paper cites an unresolved cited work.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Unresolved cited work

Reference 18

Resolution
verified exact
raw_fallback, observed 2026-08-06T11:59:43.605006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.384124Z digest=sha256:3adc1251aed0a039ce0808ece74f3e2dc155e60bd3cf9d49cefb7d0ebbab860d

Observation 3b198747-11e3-4881-9f01-651e82a4c152 · outbound

This paper cites Ren and Z.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Ren and Z

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.770953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.389247Z digest=sha256:40742a0b5066270fccb4e408f25bbdb66341c2ac00a07d41f4a0276b15fb6738

Observation aeb4d971-b11f-4102-b22b-cd2533c135cb · outbound

This paper cites Ren and Z.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Ren and Z

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.751960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.395003Z digest=sha256:c601782d8dd87888d65e1768240a2aca2a676ede0a2500a8dbca592ef9e1b4b3

Observation f661da0f-dab4-4de6-a1c8-e76b5b565bcf · outbound

This paper cites Shankar and Y.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Shankar and Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.734888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.400014Z digest=sha256:9b6af2179185cb554df1bed3833134503def0dc09d9228889342418db3cd17fa

Observation a9c44cf7-9850-47f9-9ec3-3f9b584c4f24 · outbound

This paper cites Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $\mathbb{H}^{n+1}$.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $\mathbb{H}^{n+1}$

Reference 22

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:59:43.404688Z digest=sha256:49b762f5885a978287aa2d239ce488228d41959fe7edafbd87d0ac89e5facf9d

Observation bdfa767d-fdb7-4b50-badc-255f241dcbc7 · outbound

This paper cites an unresolved cited work.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:59:43.716449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.410505Z digest=sha256:da98d19b70a52a1ecbbf8b7e4025347fd2d2a03ec90984b5d8986942572e23dd

Observation c7f3e54e-22cf-43e4-9b91-01486ef3d47d · outbound

This paper cites Pogorelov type $C^2$ estimates for sum Hessian equations.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Pogorelov type $C^2$ estimates for sum Hessian equations

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:59:43.480400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.415238Z digest=sha256:be68f4f4bb24f3c831661f11cb118dc98e8575481368229ea50bf16191f4164d

Observation 8976304b-82af-4582-b5e3-d1e6deeace3d · outbound

This paper cites an unresolved cited work.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:59:43.825991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.421299Z digest=sha256:acf11aa8592fef1e6b777c5906d891bc90062488062c1eb0ea790e5dc63b16d2

Observation 94f58260-7f03-4cb9-b16d-3f421e649716 · outbound

This paper cites Chu,A simple proof of curvature estimate for convex solution ofk-Hessian equation, Proc.

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space Chu,A simple proof of curvature estimate for convex solution ofk-Hessian equation, Proc

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:59:43.699167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:59:43.425934Z digest=sha256:284f2020cb59d46d19ee2db1b87a9fe061a076c22ad07f66f956cd33d672d7dd

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