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Paper Citation Record · LEDGER

Some remarks on decay in countable groups and amalgamated free products

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2509.08754.

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

pith.paper-citation-record.v1
2509.08754 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 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 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:19:46.548863Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T03:04:14.021980Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 76d3107c-2e66-4eaa-8cd2-b096a9c19e4e · inbound

Pureness and stable rank one for reduced twisted group $\mathrm{C}^\ast$-algebras of certain group extensions cites this paper.

Pureness and stable rank one for reduced twisted group $\mathrm{C}^\ast$-algebras of certain group extensions Some remarks on decay in countable groups and amalgamated free products

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-16T10:47:45.611446Z

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=2026-05-16T10:43:18.866913Z digest=sha256:923c2438212c8e5c5068ead04e26184522197f072b760cfdf5940bf10516cb7f

Observation 73ac1a6a-8514-4d72-9c4d-b9cd53c2ed15 · inbound

Selfless reduced $C^{*}$-algebras of linear groups cites this paper.

Selfless reduced $C^{*}$-algebras of linear groups Some remarks on decay in countable groups and amalgamated free products

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-03T01:19:46.548863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:19:46.548863Z digest=sha256:e4cc82c9715bd0b1078298c86bd3697ae69388b4c80c0744304e6b3c280c5bcb

Observation 14388201-abdb-4801-8394-3028a5833b47 · inbound

Selfless reduced amalgamated free products and HNN extensions cites this paper.

Selfless reduced amalgamated free products and HNN extensions Some remarks on decay in countable groups and amalgamated free products

Reference 6

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T00:10:53.075997Z

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=2026-05-10T18:39:25.310822Z digest=sha256:31abd527bcea0a2940d4f8b32af84224de8936aa1c7e83cecf57b3f08e7c0c82

Observation 2d5ad2fe-1d64-472f-bbfc-80f2000da50a · inbound

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay cites this paper.

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay Some remarks on decay in countable groups and amalgamated free products

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-06-30T03:04:14.025418Z

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=2026-06-30T02:58:09.943592Z digest=sha256:065a4d803a4e23205ce35775fbc0de62ca0ecf6df095bcc68d0455e6f2a6c859

Observation cf8be787-8def-4116-b8cb-afb5bebaaf68 · inbound

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay cites this paper.

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay Some remarks on decay in countable groups and amalgamated free products

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-14T17:07:43.646043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T17:07:43.646043Z digest=sha256:bb643f376b28cdb12ace496c34298e64225f1d81cf05b850b409a7271edf7de6

Observation 4e854a9b-7d11-4916-8327-b4132dd39ba0 · inbound

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay cites this paper.

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay Some remarks on decay in countable groups and amalgamated free products

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-02T09:56:11.178289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T09:56:11.178289Z digest=sha256:1f95a0faa99680f26a5a64083231cb76ab90c4f0abcb5255bb9c296f9d4133d2

Observation 19cfeee9-503e-4a18-b9e7-66c015f32a0f · inbound

Gevrey Regularity and Compact Quantum Metric Spaces for $L^p$-Group Algebras cites this paper.

Gevrey Regularity and Compact Quantum Metric Spaces for $L^p$-Group Algebras Some remarks on decay in countable groups and amalgamated free products

Reference 49

Resolution
unresolved
no resolver link, observed 2026-07-12T04:51:13.627639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T04:51:13.627639Z digest=sha256:875485d9b65e3f741aa0afa6e827c272d8cc5b165679ed7ba84a0d0052f1c6cc

Observation 7e187522-a9e7-4898-9f40-5955ff190ebd · inbound

Selfless C*-correspondences, operator valued C*-probability spaces and completely positive maps cites this paper.

Selfless C*-correspondences, operator valued C*-probability spaces and completely positive maps Some remarks on decay in countable groups and amalgamated free products

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T10:13:09.135314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:13:09.135314Z digest=sha256:3dd600b84e6a723b1e863e890a79b3970633cfdd666d5861c735d3c969b2eb68