Pith. sign in

Paper Citation Record · LEDGER

Weak null maximum and integration of families of multiplication operators

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2509.05173.

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

pith.paper-citation-record.v1
2509.05173 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:45:59.722392Z

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 exact2
  • verified fuzzy7
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87580706-0b08-43fb-97e4-0a879f708798 · outbound

This paper cites an unresolved cited work.

Weak null maximum and integration of families of multiplication operators Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:46:02.525908Z

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=2026-08-05T05:45:58.169818Z digest=sha256:47ce5e1553b426ba4eeb0e621d0aa2eba1aea7873ec5245768cefe06db08e390

Observation e280a37f-09c7-497f-9005-a35ef66653f1 · outbound

This paper cites Duren,Theory ofH p spaces, Pure and Applied Mathematics, vol.

Weak null maximum and integration of families of multiplication operators Duren,Theory ofH p spaces, Pure and Applied Mathematics, vol

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:46:02.338749Z

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=2026-08-05T05:45:58.254313Z digest=sha256:96796afadef988ac259b81a7bd39ef89bc773e6bcf62210b3c851192675caa61

Observation 4a2d5472-cacd-418c-9ee6-f1610da5b038 · outbound

This paper cites Hardy, John E.

Weak null maximum and integration of families of multiplication operators Hardy, John E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:46:02.180883Z

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=2026-08-05T05:45:58.328133Z digest=sha256:7fca56577703a862fe7f711cd4237dd0da28b76d2d5b572f8f33c901c7446f3f

Observation a20cc552-b11f-4d51-b0e6-eba81675d7f2 · outbound

This paper cites an unresolved cited work.

Weak null maximum and integration of families of multiplication operators Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:46:02.001481Z

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=2026-08-05T05:45:58.476676Z digest=sha256:20f4ee04afdbdede593588a55a7c3b3612003d735c856ef4cb7c8366c3e14bcb

Observation 1815388b-d45b-4db2-a003-d4f5a7da9bb7 · outbound

This paper cites Kalton and Dirk Werner,Property(M),M-ideals, and almost isometric structure of Banach spaces, J.

Weak null maximum and integration of families of multiplication operators Kalton and Dirk Werner,Property(M),M-ideals, and almost isometric structure of Banach spaces, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:46:01.836330Z

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=2026-08-05T05:45:58.567519Z digest=sha256:c163cf6d5c43c9e4abf109d48cd8c61a18dcbac836d8f0fc3c75a03c410bdc32

Observation 6ce7a1ed-c119-4878-b487-6756705ebf82 · outbound

This paper cites an unresolved cited work.

Weak null maximum and integration of families of multiplication operators Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:46:01.657799Z

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=2026-08-05T05:45:58.731452Z digest=sha256:0266fc9fb328bcf9774b56d6a8f33d99c14f763f4b5f90d26b432a41dac12a9f

Observation 001ef0e2-3d41-40b1-836c-a6f507da59bd · outbound

This paper cites Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces.

Weak null maximum and integration of families of multiplication operators Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:46:01.486237Z

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=2026-08-05T05:45:58.883153Z digest=sha256:e3ea541a1fa22c1aae536a4300df0aad51879b55aed259b2cf39d5f79460dcbc

Observation 035bfdc0-acfc-4d09-94f4-ae8580e9d5cf · outbound

This paper cites Essential norm and integration of a family of weighted composition operators.

Weak null maximum and integration of families of multiplication operators Essential norm and integration of a family of weighted composition operators

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-05T05:46:00.302558Z

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=2026-08-05T05:45:59.045886Z digest=sha256:03888bb0cdf49450bf11edb4f8da172aaaf358fd772d531c11e401e0e28bb9d7

Observation 9c1c9353-7c44-415a-be6f-bec2be77d844 · outbound

This paper cites an unresolved cited work.

Weak null maximum and integration of families of multiplication operators Unresolved cited work

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-05T05:46:00.072251Z

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=2026-08-05T05:45:59.233636Z digest=sha256:35c8c17836b7bbd69fcbc3b8e557e3a2032785af58049104213d63df0d112658

Observation 132c3db6-bff7-4c7d-a7eb-0072f8b6bd6e · outbound

This paper cites 3, 496–502.

Weak null maximum and integration of families of multiplication operators 3, 496–502

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:46:01.237185Z

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=2026-08-05T05:45:59.406745Z digest=sha256:130ba1cd0bf3717247635933371bc0ada3539fc7f3d8053486331892c64f117a

Observation b5b7cd50-cff2-4bf9-be14-69e4676ed63d · outbound

This paper cites 226, Springer- Verlag, New York, 2005.

Weak null maximum and integration of families of multiplication operators 226, Springer- Verlag, New York, 2005

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:46:00.886145Z

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=2026-08-05T05:45:59.585659Z digest=sha256:cef1769c401474c545cb326dd4d79938e1779a77de56ca43cb1750d15dd1e1f5

Observation 44624422-5329-459b-b765-cc77a38e16c8 · outbound

This paper cites 138, American Mathematical Society, Providence, RI, 2007.

Weak null maximum and integration of families of multiplication operators 138, American Mathematical Society, Providence, RI, 2007

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:46:00.594453Z

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=2026-08-05T05:45:59.722392Z digest=sha256:e21b2ac527139f5dd2768a448158113dede52ef3d379ab4ca7961985d4e44a31

Pith citing papers

No inbound Pith citation observations are available.