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Paper Citation Record · LEDGER

Characterization of Hilbertizable spaces via convex functions

As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2506.04686.

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

pith.paper-citation-record.v1
2506.04686 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:52:15.206876Z

measured 9 of 9 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T00:36:00.985511Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T00:38:23.263227Z

Reference resolution

8 of 8 outbound references displayed

  • verified exact3
  • verified fuzzy2
  • unresolved2
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67f3aeed-41e4-4e11-8706-e3543d820379 · outbound

This paper cites Uniformly convex and uniformly smooth convex functions.

Characterization of Hilbertizable spaces via convex functions Uniformly convex and uniformly smooth convex functions

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:15.473962Z

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=2026-08-07T10:52:15.180170Z digest=sha256:a5f87102f9c9b2d17c72e58fdfd1bc5d103947f5d55fbb25ea0eb920d5fefd72

Observation 84e82de2-56ef-4d39-a021-52d8dcd637d1 · outbound

This paper cites (1967).Calcul différentiel.

Characterization of Hilbertizable spaces via convex functions (1967).Calcul différentiel

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:15.462803Z

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=2026-08-07T10:52:15.183970Z digest=sha256:53c81eebbd8b7f511359b19d1c7aa9dd34acf9d8cd8629e84851fdd767e77ac4

Observation 4beac364-f842-4c3d-868f-424b22d0c6d3 · outbound

This paper cites Legendre Forms in Reflexive Banach Spaces.

Characterization of Hilbertizable spaces via convex functions Legendre Forms in Reflexive Banach Spaces

Reference 3

Resolution
verified exact
doi, observed 2026-08-07T10:52:15.279156Z

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=2026-08-07T10:52:15.187476Z digest=sha256:fccb190e8baf629db0f79fe825c26cd1e7e872d062ffe6fc27ed08d1e4b5fed3

Observation 0e69706f-2e35-4c2a-a28f-a72f33c16c6c · outbound

This paper cites Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces.

Characterization of Hilbertizable spaces via convex functions Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces

Reference 4

Resolution
verified exact
doi, observed 2026-08-07T10:52:15.266990Z

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=2026-08-07T10:52:15.191121Z digest=sha256:64c5d78e3a1c2fc2c9538c0710d20ece188cca47b0d483655c95be0b5419877f

Observation e50e497e-e847-45ef-8fd9-d10489ff879b · outbound

This paper cites and Talagrand, M.

Characterization of Hilbertizable spaces via convex functions and Talagrand, M

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:15.194990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:15.194990Z digest=sha256:9e7a159e11a521216c8c1c51fb232d8cfb8d6b7b794bd3cac8889e7841a309b6

Observation 100fd1bc-fa20-4687-9e93-6144bf8587bb · outbound

This paper cites Two step size algorithms for strong convergence for a monotone operator in Banach spaces.

Characterization of Hilbertizable spaces via convex functions Two step size algorithms for strong convergence for a monotone operator in Banach spaces

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-07T10:52:15.452245Z

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=2026-08-07T10:52:15.198952Z digest=sha256:1621bce5d18e6eea456708a2dcbe9f89886d1dfeac3abf45d74acb9f8eabef98

Observation 63b3ce19-8c7d-4321-8e08-04e3d75857ef · outbound

This paper cites (2004).Introductory Lectures on Convex Optimization.

Characterization of Hilbertizable spaces via convex functions (2004).Introductory Lectures on Convex Optimization

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:15.203099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:15.203099Z digest=sha256:7bf916de3c4f666f772e1744106124f6e259c3b4c250a11204e26aa3bbd6d725

Observation fa785f24-d5b3-4a96-8d08-14fbf322a8d5 · outbound

This paper cites A Simple Proof of Kwapien’s Theorem.

Characterization of Hilbertizable spaces via convex functions A Simple Proof of Kwapien’s Theorem

Reference 8

Resolution
malformed identifier
no resolver link, observed 2026-08-07T10:52:15.206876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:15.206876Z digest=sha256:bf7c2c667c07829af31dd36933632f6546c3f2733995a9b6a6a5ddec81fb6655

Pith citing papers

Observation 543ee011-f716-43f5-97af-9eda45b31006 · inbound

Optimization on Weak Riemannian Manifolds cites this paper.

Optimization on Weak Riemannian Manifolds Characterization of Hilbertizable spaces via convex functions

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-15T00:38:23.264553Z

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=2026-05-15T00:36:00.985511Z digest=sha256:c882291a86f402fa91a28dea3d0b64163f6b41a072e4c6d3adbfa009d0134504