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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:39.192660Z digest=sha256:8bd64fa1f85c25d3689c7bb77499d23c93b5664056572b0b223d75c8315faa47

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:39.275625Z digest=sha256:b7d53541a6f2e676939dfba1ebe1ac6f6a6d9f9d54d341eaec0f27b061954c97

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:39.418112Z digest=sha256:061dfd6809726148c9ca3deca852be4ae584a0a9e834587002109356818d906c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:39.622665Z digest=sha256:3dadcf251cf55689e2d09a205af691902e967c460abc6e4ecab79bc3fd7c97d3

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.

source=pdf_text observed=2026-08-07T11:54:39.755514Z digest=sha256:1f36af36337e1bc362cfaf4e0d852f9930461db3e6f1bb83bc09465ada8be3cf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:39.895772Z digest=sha256:1d05c9290260bdae7053f114c0906c4ba690cb8234d48203f1b1f3c6ef0abba1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.062284Z digest=sha256:7b20c40a7bfd80ef9d1255425019b8c25b91ba0825f6b61bb05da647a2d5ee90

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.186912Z digest=sha256:f79e40582ff3e210c1ba128530dd9ebdc088cd1be8aaec0e8c80a72fd99142ee

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.315635Z digest=sha256:8d98664d41d99f8e935924568d554512bd073a3ca08e4709a4bab574c332905a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.409038Z digest=sha256:921615a995466448dbe124ca30684251d064c01f2e8f61ee60615b36347b3f50

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.520477Z digest=sha256:27912e09df9fc5cdda60d8c37e7ebd560bb91d2687043e1e3b007fd3b96450b9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.601188Z digest=sha256:0d5f99110a1019a4d37ac6c914f41c9b9cd073325845a4b631ad83a518344bc4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.717913Z digest=sha256:675fe27c1a7fc9076c0246351c46ac0e35c8d483f73968226745faa984f35650

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.842672Z digest=sha256:9007ac918e1071f2b88ea9861ff48e334f99cd89807922478c73a9f811c684fd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:40.970041Z digest=sha256:8302e14d3a49948bebc01ffb657bdfc2552aa7c097e2176c751727fdef3f6adb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:41.063522Z digest=sha256:15a603640a1db8f787df4c7b0b598b5eb78ee63130190b502c448ccb48cd1e6e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:41.167996Z digest=sha256:7f6d13af2c1ea7fde9dcfc0d0f198f69657544495f14438e5f7de61f499335af

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:41.278435Z digest=sha256:3da13f820b5a6ca39211db43eea0bbe3760edd2e74048948e2430dc4fcd34c73

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:41.429722Z digest=sha256:11c236842381942f14549ecfe379102bb8232d576b9e3d54173f548dd3ad8685

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:41.528710Z digest=sha256:f6e8fbec333e15a61db00990080ff59657a6fa27ad4640b634dfe9d690a9b20b

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.

source=pdf_text observed=2026-08-07T11:54:41.617916Z digest=sha256:09b56c12a58d0f266595fb919dab825667d048716b9fc9d1c3d9d55c3b13861f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:41.716654Z digest=sha256:15dce0f8b4fdd7d0f917b1044de99302fe5758ab490c2e9b8379e5cf5a78b027

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:41.832185Z digest=sha256:4b9ed1b1df1c6f60661c1a1e4a4ea765957c8a75d194b16840ae415d22e42e32

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:41.959976Z digest=sha256:665a3545f1aadccfe8cf041488d33f72542f467ecf5c83e9dd7445ecafc05704

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:42.070568Z digest=sha256:37096b5c735519c1f411561625d910151ee22da7c3bd6e84afc942b587c8a8b7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:42.182488Z digest=sha256:3862d7043a1c318b15600591ea753ff072b4c8ccf7896b707c790f182ba83ecb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:42.305088Z digest=sha256:6c4fc461eba2e37e9b3367e6edd58632401bd7bc29fe0863e583ee2c343ec352

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:42.465375Z digest=sha256:d0245d667a7a52f30b4aaf8996fbaac1cdcef7fbca77bbf1f1ca061a88a636bb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:42.581813Z digest=sha256:5e6bd19fa74a8b74d8b620546f9f836bf3e2cde2597c408c3aa440e50aea36cd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:42.684798Z digest=sha256:a27dc139499c7a2d3e71572a06fd3f950ff1e5759a340b3150f64ab31d981fa6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:42.819438Z digest=sha256:385d9b4f8399aa366fcaef06c3acc54143788c1cd25b165974d17d2c03b4ea57

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:42.916605Z digest=sha256:ed49291081aa92e1978b2659875e15c977a2c72cd19eb960aeea084be8f79e8a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:54:43.029899Z digest=sha256:2af9b4104c9a4fcebe04e6cf1c4d2324e2c4d237bba4cdc63d9763987d74b902

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.

source=pdf_text observed=2026-08-07T11:54:43.166661Z digest=sha256:f1f510c520ad97325f2e9cddadca548a20d1962297111cd8556ad66c88b103fa

Pith citing papers

No inbound Pith citation observations are available.