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Paper Citation Record · LEDGER

Characterization of positive superharmonic functions in a half-space

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2506.02305.

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

pith.paper-citation-record.v1
2506.02305 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:40:58.901368Z

measured 19 of 19 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T05:33:14.031956Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T23:01:15.835797Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c678445-a611-4dbd-b107-59eee0285781 · outbound

This paper cites Armitage and S.J.

Characterization of positive superharmonic functions in a half-space Armitage and S.J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:41:11.076702Z

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=2026-08-07T11:40:58.016866Z digest=sha256:bb4a42406c3a86327bcdbaa8fa366886c6935949d9cbbcd75d51643e6f168d0a

Observation edba68e4-edec-4f35-80c2-7d0e1da6c28d · outbound

This paper cites Axler, P.

Characterization of positive superharmonic functions in a half-space Axler, P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:41:10.669910Z

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=2026-08-07T11:40:58.053240Z digest=sha256:c56378df35168187b6573a69a6bea954a63217406d5b3640f14d574e31f51dac

Observation 4860bb77-aca4-477f-bd42-313c346b7150 · outbound

This paper cites Berestycki, L.

Characterization of positive superharmonic functions in a half-space Berestycki, L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:41:10.340996Z

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=2026-08-07T11:40:58.073760Z digest=sha256:3f7f873ac15c54a6cdcc1861c4503f0e80d12accdede78749e8a4bdbf0fc94a9

Observation 6c9b646b-b2a6-43bd-a55a-d40ee5606877 · outbound

This paper cites Bonfiglioli, E.

Characterization of positive superharmonic functions in a half-space Bonfiglioli, E

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:41:10.115414Z

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=2026-08-07T11:40:58.089737Z digest=sha256:a05a021031b755c06b7936472d940bdb4b20b4c6d04e46b9b14ab65754007b8f

Observation 591fc456-0949-4c67-97b8-cc12532d792e · outbound

This paper cites Bourbaki, Elements of mathematics.

Characterization of positive superharmonic functions in a half-space Bourbaki, Elements of mathematics

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:41:09.879244Z

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=2026-08-07T11:40:58.113538Z digest=sha256:1cf7305a4c54ca497818c3b62ecbbab5eccc9f2262a3faf16c593660da862a37

Observation 8035aed8-7d4e-45ad-9af9-5d45f7133333 · outbound

This paper cites Caristi, L.

Characterization of positive superharmonic functions in a half-space Caristi, L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:41:09.678448Z

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=2026-08-07T11:40:58.183710Z digest=sha256:4472470b4324b15bb67cd54382109c94ce6170e0d30e44a0a738c9a33de1032f

Observation 3c991518-7593-4938-ac84-eded0f20ccf4 · outbound

This paper cites D’Ambrosio and M.

Characterization of positive superharmonic functions in a half-space D’Ambrosio and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:41:09.403027Z

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=2026-08-07T11:40:58.249467Z digest=sha256:af605cb0772d5de3107699e9bf45cf63db9e53c95e9d805984daeae21e65635d

Observation f5176482-6e05-48f8-a692-f702b25dbba6 · outbound

This paper cites D’Ambrosio and E.

Characterization of positive superharmonic functions in a half-space D’Ambrosio and E

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:41:09.160054Z

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=2026-08-07T11:40:58.322158Z digest=sha256:80db277b1532e092276ae057b9c81d3755e5566ec53ea763f35d97b88088c7e9

Observation 891b2e71-1723-40a1-9df9-e46ab4b05f46 · outbound

This paper cites D’Ambrosio and E.

Characterization of positive superharmonic functions in a half-space D’Ambrosio and E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.980105Z

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=2026-08-07T11:40:58.407507Z digest=sha256:42d21fface2758434c0a6e4a794c5a1260449d3f2d64643ac2cfc7b8c007b905

Observation d3b16283-e697-4b70-af8c-97a24dad2046 · outbound

This paper cites D’Ambrosio, E.

Characterization of positive superharmonic functions in a half-space D’Ambrosio, E

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.864780Z

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=2026-08-07T11:40:58.474126Z digest=sha256:b18b49108eb90b38ba1a4a3e1bd17641727e4e5d52582ca394c2278da7b74519

Observation a5eda047-13ee-4a73-897e-d6ef4ae72a0c · outbound

This paper cites Dautray and J.-L.

Characterization of positive superharmonic functions in a half-space Dautray and J.-L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.700803Z

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=2026-08-07T11:40:58.542962Z digest=sha256:cbe747949b1e07d454a15581053e32b5a338d36d8852339e2804b707835161a9

Observation efd999d4-ef52-4c9d-be69-56ef74606338 · outbound

This paper cites Evans and R.F.

Characterization of positive superharmonic functions in a half-space Evans and R.F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.562893Z

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=2026-08-07T11:40:58.644476Z digest=sha256:74adf4220290cae9c2d5af7f9a25e8b0d31c244247289957476d5ab4f6003ac8

Observation cce5cdf8-fe48-4800-8ea2-fe5d985a0463 · outbound

This paper cites Giusti, Minimal surfaces and functions of bounded variation.

Characterization of positive superharmonic functions in a half-space Giusti, Minimal surfaces and functions of bounded variation

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.416003Z

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=2026-08-07T11:40:58.653397Z digest=sha256:7f83349033edca954643650863d24a8bf0543fb4ab852d3fe5af93bf47f3f81c

Observation 48233840-64df-4a03-9a9b-a0adb40a5425 · outbound

This paper cites Huber , On functions subharmonic in a half-space, Trans.

Characterization of positive superharmonic functions in a half-space Huber , On functions subharmonic in a half-space, Trans

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.301421Z

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=2026-08-07T11:40:58.657413Z digest=sha256:1282e4a0dbfab386bc9b68570d51c2eef8143562dfa5016fb2d6de6acf1ff1dc

Observation 51ce9ee1-3d8f-495c-bd47-27c373a1695c · outbound

This paper cites Leoni , A first course in Sobolev spaces.

Characterization of positive superharmonic functions in a half-space Leoni , A first course in Sobolev spaces

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.223225Z

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=2026-08-07T11:40:58.725845Z digest=sha256:fd92c0b696c062d4316b04fcb69e223d35031dffae514ef10ed732974300882e

Observation fffdfc4a-ab38-465f-85dc-62e99d213f52 · outbound

This paper cites Marcus and L.

Characterization of positive superharmonic functions in a half-space Marcus and L

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.183925Z

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=2026-08-07T11:40:58.810425Z digest=sha256:73da985010828a1b90a65fe916ee98dbfefff986e29a132c0457e37725205786

Observation 8b328339-05ab-4b27-a339-8a19c811a7d7 · outbound

This paper cites Zhang, G.T.

Characterization of positive superharmonic functions in a half-space Zhang, G.T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:40:59.083309Z

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=2026-08-07T11:40:58.901368Z digest=sha256:7259147c07543145f55bb65d5f7a22530db0bc858525f79e7f1fa26f072d7a49

Pith citing papers

Observation 9e3394eb-93bc-4c39-a7dd-981dcdfa012b · inbound

Flow Decomposition, Green Testing, and Lane--Emden Inequalities on Weighted Graphs cites this paper.

Flow Decomposition, Green Testing, and Lane--Emden Inequalities on Weighted Graphs Characterization of positive superharmonic functions in a half-space

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-11T23:01:15.839070Z

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=2026-05-08T01:59:24.563213Z digest=sha256:d612fea9609566bd50e95626e5772e08d101b835e7e6576079d9ae6a96aab3cc

Observation afe06a42-756f-466c-b447-aa00299e632a · inbound

Flow Decomposition, Green Testing, and Lane--Emden Inequalities on Weighted Graphs cites this paper.

Flow Decomposition, Green Testing, and Lane--Emden Inequalities on Weighted Graphs Characterization of positive superharmonic functions in a half-space

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T05:33:14.031956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:33:14.031956Z digest=sha256:b7c724a1b5df8d0d7ba8345a7c691d10f2d1917e8a8bc0d14faa0a24e036fe32