Paper Citation Record · LEDGER

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications

As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.01434.

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

pith.paper-citation-record.v1
2506.01434 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:54:43.166661Z

measured 34 of 34 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

34 of 34 outbound references displayed

verified exact0
verified fuzzy18
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5fb2b819-546f-4230-a34e-99a9d5beae5a · outbound

This paper cites Agostiniani, M.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Agostiniani, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:48.554446Z

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.

Observation 7b96e2b6-cc57-4742-b992-311b1ee53118 · outbound

This paper cites Agostiniani, M.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Agostiniani, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:48.393479Z

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.

Observation e89e8bc7-605b-46ca-ab71-7423d5fc5f9c · outbound

This paper cites Agostiniani, L.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Agostiniani, L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:48.211299Z

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.

Observation 8336ee92-fbb1-4564-85b8-939770e70f39 · outbound

This paper cites Agostiniani, L.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Agostiniani, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:47.957346Z

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.

Observation 46b142e2-f0d3-4606-8e73-ca14b0412f96 · outbound

This paper cites Riemannian Penrose inequality via Nonlinear Potential Theory.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Riemannian Penrose inequality via Nonlinear Potential Theory

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T11:54:39.755514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f671a9a5-0276-4757-8292-c36566aa15e2 · outbound

This paper cites Agostiniani, L.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Agostiniani, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:47.705096Z

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.

Observation c7e93ec9-17a1-4cb6-a548-c1be8a599b3c · outbound

This paper cites Agostiniani, L.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Agostiniani, L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:47.483234Z

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.

Observation 49b089c6-2f39-4335-8eea-2e48a5d95b0f · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:47.223846Z

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.

Observation 545b6aa4-81f4-4a33-a1ed-bcd80f472fb6 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:46.994606Z

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.

Observation f9bd6a8b-b426-4219-a591-0937263dd241 · outbound

This paper cites Benatti, M.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Benatti, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:46.809029Z

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.

Observation 342557c4-a340-492c-bb69-8a5915adffdf · outbound

This paper cites Brandolini, C.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Brandolini, C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:46.610362Z

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.

Observation 475ec88d-8176-4b79-b94d-99ce98423b8b · outbound

This paper cites Brandolini, C.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Brandolini, C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:46.345705Z

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.

Observation 0ff23dcb-c6f2-4c7c-9047-a742f6b32169 · outbound

This paper cites Caffarelli, L.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Caffarelli, L

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:46.221154Z

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.

Observation 3f538c10-799c-4603-ae2c-95167ca7dee9 · outbound

This paper cites Della Pietra, N.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Della Pietra, N

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:46.129168Z

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.

Observation f94eb6d7-9c89-4fa3-b18c-fc5a1601a679 · outbound

This paper cites Fogagnolo, L.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Fogagnolo, L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:46.021279Z

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.

Observation 06452e7a-49a8-4abd-9791-acc4c4cb7807 · outbound

This paper cites Fogagnolo, L.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Fogagnolo, L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:45.934164Z

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.

Observation fe1ff26c-c51f-46a1-97c3-df73a687b0ab · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:45.836894Z

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.

Observation 6bfbd46b-d676-44d6-8452-ad5d96d12e12 · outbound

This paper cites Garofalo, E.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Garofalo, E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:45.761790Z

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.

Observation 4e9bb776-b2c4-4022-b858-f022189184c4 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:45.646691Z

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.

Observation 56734ea3-1917-47c1-8f68-2efdbf6115b4 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:45.519917Z

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.

Observation ea9bfe7a-f052-4690-81e9-7ff2e7c1363c · outbound

This paper cites The exterior Dirichlet problem for the homogeneous $k$-Hessian equation.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications The exterior Dirichlet problem for the homogeneous $k$-Hessian equation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T11:54:41.617916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 359178b9-c1de-4dea-8152-7298e11d126b · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:45.408933Z

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.

Observation 2cde2fdf-2bbb-4632-a72a-1d3b8c18c2d6 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:45.293008Z

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.

Observation bdcd1911-5b8c-4186-9bf9-cb6da10295dc · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:45.176628Z

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.

Observation db1236b6-e555-453b-98f4-93b9d0d4ac75 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:45.092373Z

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.

Observation 7c279c48-246b-45ff-94a7-3755fef7e937 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:44.991097Z

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.

Observation 0624dc77-85f0-45bf-b95a-e490ed9ffe98 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:44.775190Z

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.

Observation e32e35c1-521c-45fe-80ab-8a40d2e78029 · outbound

This paper cites Schneider.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Schneider

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:44.577530Z

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.

Observation 03124a3e-4a29-4151-a800-6937804d9831 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:44.335214Z

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.

Observation 6c912930-087f-42cd-a0dd-833d11ab6404 · outbound

This paper cites an unresolved cited work.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:54:44.043915Z

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.

Observation 3a856041-0d0a-4c03-977d-827c0e1284f8 · outbound

This paper cites Weinberger.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Weinberger

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:43.806146Z

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.

Observation c7e9e584-f9b0-4ddf-a456-7d4fa3a4e903 · outbound

This paper cites Xia, J.B.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Xia, J.B

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:43.589190Z

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.

Observation 4af5a41f-c40a-480c-a617-c72f9632b6c1 · outbound

This paper cites Xia, J.B.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Xia, J.B

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:54:43.399790Z

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.

Observation 43ee8e7a-f07d-4e50-9bf3-94279aeaabe1 · outbound

This paper cites Generalized Minkowski inequality via degenerate Hessian equations on exterior domains.

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications Generalized Minkowski inequality via degenerate Hessian equations on exterior domains

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T11:54:43.166661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.