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Paper Citation Record · LEDGER

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.284605Z digest=sha256:e84bbbbe7ffdc918a70312b91678cc0eac7c57b33b845941fc39c44f7de5afaa

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.290572Z digest=sha256:df63abac4d24db098232fce5008d0d4bb8825af34a463aac6601dc239d5a7d73

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.296181Z digest=sha256:b0a925aef3ee29e4f410f882a8490eebf58e461f54458ab2335f935a1fb75a47

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.301599Z digest=sha256:6d47f54487f0e7f5c094c5637c553d066ab8117778cf2cedab96ee8820f79483

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.307656Z digest=sha256:7d6ac108db6de725c0b59a8b8fe49b7cd8e5026b88261ffcdcfb3936d5fe4090

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.313021Z digest=sha256:31004760a19d5d227dc207109305b68238626f674db656ad32761d1b564fd14f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.319016Z digest=sha256:47c6ea7253775af2c2c4997c9281f49b7a2a158a77b1bd0010f800fe88ee4d55

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.324485Z digest=sha256:2a19068b6298d214ded6626a23de862dc2a23c0ab267f6dec53d2d25fba0ebb9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.330375Z digest=sha256:24855b7c67c699102bcd39bdba1f50cc084c493930de5bef73a4dff13a490c71

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.336833Z digest=sha256:56ce780d85be5cf6d9225d7774e49fc29dd9d0c92f3a528d7bde330d7fc46ac7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.342510Z digest=sha256:afdef70417f8e5d7230eac9b7bfc67f30d2d87174eb9e542f5d6ac608331a255

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.355476Z digest=sha256:f412afb8c03dbcefff1d043e31dd2d6832452a22fa0b13a1cebbbb976625d2f1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.362121Z digest=sha256:38d0a3df54d603dc4c4b5269b73471a9b5dd1fc1b0c71589e71f42401aee6f42

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.367337Z digest=sha256:a51e51a61daa57d5082d7a127e35c35f7664b80aabc731601f59efc6aaadc851

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.373009Z digest=sha256:53a87bd1a10d9764cde0e9e7de968008c510bcdee0b1c112d2cd3b25b30d1d7a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.378740Z digest=sha256:d62fa283458627337de336c28711eec81c3fb30343d0321f0f8a38674982825b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.384124Z digest=sha256:e1ba4cf33eb60524f078836599d1c164203a8325f9986d85a0a38483c82f6a17

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.389247Z digest=sha256:4b417056477e3807751c5555e50efb55e166e5669ce99f19955a8bab4fa2d826

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.395003Z digest=sha256:3d549fbbcd469e1cb2e1ee7b47aaf33a6834a2078f15e7b097d9475597ca9f46

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.400014Z digest=sha256:260734efe3ed777197c06de5e395d0460cc25b255da3cc50a02940d3408cb38e

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
no resolver link, observed 2026-08-06T11:59:43.404688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:59:43.404688Z digest=sha256:0bc8a352a1cf32f5c2c3179df36699337b7f5f965ecc348925f94e37531c8786

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.410505Z digest=sha256:71849c6d3718e75f009ea496b5046bf4bd2703d7b17af05d76eb970c4cac1897

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.415238Z digest=sha256:428b53f7ff7172060cfd7d39a6005f84a2364593bb64867a4e9ec83037b5b5c3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.421299Z digest=sha256:7c3bfc813e271039d24a3805857e3eba90f29a198f8d817a6a651ff3cdee41a5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T11:59:43.425934Z digest=sha256:416b363b5fa774d6eccd1d427d6a9b24335db29bd91feac967578985caa5fa24

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