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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 2026-08-06T06:34:29.942622+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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.284605Z digest=sha256:a31f89e55c41477d6b3fa60cf98a3b8ad7a742654cfb808be7a1dc65c383572c

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.290572Z digest=sha256:10ed71eec54ebfcfced6489f96ce602d83add1b0acbd5765f9642d733637eba3

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.296181Z digest=sha256:9808d786ce9c7f20bb4a68cf2ac10d6e6a2ed48e7ee88a3396379cb467e9a15e

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.301599Z digest=sha256:87dda1255f15dad75d9ddf8ce56aaa3633e828f9e92f44674a01c82b006ab008

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.307656Z digest=sha256:b34a107343c71bf72701c526922eabf49e3adea03540ef464f5f76dcdf729756

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.313021Z digest=sha256:b1d2214fc17fc9a3eed993e52ff202b9476bb200efbf65b47689979b81a8e1ac

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.319016Z digest=sha256:b50e7ac22aec4323cb91762ce1d0c0d0a8322244ad40ba0f8325ceda97856db2

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.324485Z digest=sha256:3e50ec12696f824a28441cf493c673d161791b6843c42a12db57fa9c94656513

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.330375Z digest=sha256:0cf0d0638aaf78ac517cd168bc4860988631a4c7b48813d54ded154d1bf38a37

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.336833Z digest=sha256:c1f2692960db7a4e4f6badd339cd53fb4773964f530012afdf5d431cd8f72b57

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.342510Z digest=sha256:db3de00dcbaba1780245bcf7803c2502717030d5b79cc673137d97e88a782994

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.355476Z digest=sha256:cccadd57ab18904bd1e5450e1f2e329c518dea99bbb448615c8309ad2e47049a

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.362121Z digest=sha256:dada8efb71b74ba063366ca35a0d2876a6660e63b41e97acf5e01ead325a5d06

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.367337Z digest=sha256:c2b7df95072deb66a544de7ff232520f80d155637f281b7fac15af6c50d2ba10

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.373009Z digest=sha256:01bd3a2658644258445b058af0d031c999bcb88b0222e5a8db4810a5dbeab097

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.378740Z digest=sha256:60d8efa0f02253026f8bf9269b69e4fe0ccc62116955f05bffa5405c41506700

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.384124Z digest=sha256:c875cfea18be855f4d6949a70718dce6852aa324463de7655bbe63583526dfc9

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.389247Z digest=sha256:7e35171b4f7588b0770ffcc9be8e118ab194dba9db0769afc74c7f37e64345a7

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.395003Z digest=sha256:c44d07bf98c85edb86ac4aeef3fb5ac0f540a17380c2715b80d585c12466c1a8

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.400014Z digest=sha256:abcc22a3a771863ac033724fd5bfb4616f98ccb9a836a348c7f167c2b9b5e772

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=sha256:218b2f1741fd298a3a66302d85b3d4055e2afe1de52f842d0d5be2b01fc09954

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.410505Z digest=sha256:deaf8cae7f250526de225baf2060e3123cc50bf5c10d1de0a973b262dddec488

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.415238Z digest=sha256:91ae909512ed7d43118b085aeeea82058aad567ca14921169b9877a6141db322

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.421299Z digest=sha256:366d57c02581de6cf60718b8da11346c05032a17ac4c16aec6977215f62a9e32

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T11:59:43.425934Z digest=sha256:ae3c3a8b354a6fd38a2bdd175c95f9d53e946253a901522ad5fc9c3e9409df43

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