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Paper Citation Record · LEDGER

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2506.08742.

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

pith.paper-citation-record.v1
2506.08742 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:16:20.758400Z

measured 12 of 12 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

12 of 12 outbound references displayed

  • verified exact5
  • verified fuzzy4
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5d9b550f-b9d5-4e6b-a0c1-0a02f2f95173 · outbound

This paper cites an unresolved cited work.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:16:20.979248Z

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=2026-08-07T05:16:20.714696Z digest=sha256:acdd66ca7ac7b014eff0345f1465fe9b25730c452f2c9f39cfc9267f62a741c2

Observation 342b7336-5644-4e3a-a3fc-b0f95cf45105 · outbound

This paper cites Vol.1 Basic theory.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Vol.1 Basic theory

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T05:16:20.719514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:16:20.719514Z digest=sha256:ee0876dde45c3a85707a625f1838e8d3e00af5c85754879e9d48d8c3dbc861f6

Observation a506894a-fa53-4a70-bb2a-39a8d59afb76 · outbound

This paper cites Springer-Verlag (1983) https://doi.org/10.1007/978-1-4612-1148-8; ISBN 978-0-387-90722-2.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Springer-Verlag (1983) https://doi.org/10.1007/978-1-4612-1148-8; ISBN 978-0-387-90722-2

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T05:16:20.723605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:16:20.723605Z digest=sha256:76034cadb62d7ce275bef9e3aea2ac3e1ba2bb080de3b7363f0982fdfabf8581

Observation f17ecb00-a8aa-4d9e-872f-d81cc8cfdb88 · outbound

This paper cites Set-Valued and Variational Analysis, Article 14 (2023) https://doi.org/10.1007/s11228-023-00671-6.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Set-Valued and Variational Analysis, Article 14 (2023) https://doi.org/10.1007/s11228-023-00671-6

Reference 4

Resolution
verified exact
doi, observed 2026-08-07T05:16:20.821909Z

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=2026-08-07T05:16:20.727660Z digest=sha256:c696445257e5ee1dc08c3f7eefdcd652e097ebc2548175838c1e215d053b416a

Observation 43024dca-e69e-490d-aaca-525eaaaf6029 · outbound

This paper cites Acta Mathematica Vietnamica 22(1), 207–211 (1997).

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Acta Mathematica Vietnamica 22(1), 207–211 (1997)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:16:20.967353Z

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=2026-08-07T05:16:20.731901Z digest=sha256:f2ca88d90b5e67cc091bb819598b3f7e232ccbb9713609c3b0812f34b2d3ef44

Observation 66d73ef2-4401-4abf-8d36-b45046bf28e0 · outbound

This paper cites an unresolved cited work.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-07T05:16:20.810771Z

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=2026-08-07T05:16:20.735847Z digest=sha256:59898faf3f17902029501c5693947cd22dbfa3d921c9111edbc0c150de3f84c9

Observation 04432114-59d8-4474-b241-45c67cb6946b · outbound

This paper cites Mathematical Notes 64(2), 164 – 169 (1998) https://doi.org/10.1007/BF02310300.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Mathematical Notes 64(2), 164 – 169 (1998) https://doi.org/10.1007/BF02310300

Reference 7

Resolution
verified exact
doi, observed 2026-08-07T05:16:20.799831Z

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=2026-08-07T05:16:20.740404Z digest=sha256:14143fab9458650e308122dd8df9441c1b760abf8638eeb2799e907ea55623b5

Observation 77df6f79-6a4a-43f4-a403-b37c9b900da2 · outbound

This paper cites In: Przeworska–Rolewich, D.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces In: Przeworska–Rolewich, D

Reference 8

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:16:20.921908Z

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=2026-08-07T05:16:20.743924Z digest=sha256:124186858d48ce327db603ddf87e4f5a79190bf35e03febf9b5a3d724d5f8b69

Observation 0e3b1e11-5f19-42fb-9b77-cd23eabbec04 · outbound

This paper cites Proceedings of the Steklov Institute of Mathematics (Suppl.) 313(Suppl.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Proceedings of the Steklov Institute of Mathematics (Suppl.) 313(Suppl

Reference 9

Resolution
verified exact
doi, observed 2026-08-07T05:16:20.789126Z

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=2026-08-07T05:16:20.747257Z digest=sha256:98f4d1fb1b08deddce5857bd28c8912040c9a717939d890e841a7f4b3a63c4ed

Observation c4b6ad1c-efc3-4e2d-90a9-ea11b3032459 · outbound

This paper cites Pronidence (RI): American Math.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Pronidence (RI): American Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:16:20.955599Z

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=2026-08-07T05:16:20.750981Z digest=sha256:e7c758d1a3fcb4479d1bfa91dff3eb54b1304ee7ef10cfbc54d30a178da1886b

Observation 1ed05302-3dd7-4efb-b5be-8ac852bf9a9d · outbound

This paper cites Springer-Verlag (2006).

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Springer-Verlag (2006)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:16:20.944955Z

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=2026-08-07T05:16:20.754430Z digest=sha256:b029d01d71f62f898cdfe03bee6ec1b39dd0c125486d31e1540d99c6231d96e7

Observation 90c5496f-c713-4202-94c5-0e41767413dd · outbound

This paper cites Harper and Row, (1967) 12.

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces Harper and Row, (1967) 12

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:16:20.934307Z

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=2026-08-07T05:16:20.758400Z digest=sha256:c84cfd7802c24a21dd2430721dfc767c683d300c31b5cc9ffd6aa1017244b022

Pith citing papers

No inbound Pith citation observations are available.