Pith. sign in

Paper Citation Record · LEDGER

Decomposing zero-dimensional persistent homology over rooted tree quivers

As of 18 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 3 inbound Pith citation observations for arXiv:2411.19319.

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

pith.paper-citation-record.v1
2411.19319 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:30:10.003475Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:28:28.391677Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T03:04:14.113290Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55d9ba70-6062-46f8-bb62-4ca0dc3c380c · outbound

This paper cites an unresolved cited work.

Decomposing zero-dimensional persistent homology over rooted tree quivers Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:30:10.404562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.890879Z digest=sha256:bdc467b45c1149ed7f877687557264f455d4208522c71680885e652a813d5912

Observation ea0e6019-b7d8-4793-9a33-40c5c4d5a76f · outbound

This paper cites Elements of the representation theory of associative algebras.

Decomposing zero-dimensional persistent homology over rooted tree quivers Elements of the representation theory of associative algebras

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.392369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.895641Z digest=sha256:cb5637ce5ea7d3edabb4562efce0d81bef50083978f93c7e7f5efec0ccb855c9

Observation 047bff84-24ae-46b6-8c4e-17ec8c92dae3 · outbound

This paper cites Botnan, Steffen Oppermann, and Jo han Steen.

Decomposing zero-dimensional persistent homology over rooted tree quivers Botnan, Steffen Oppermann, and Jo han Steen

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.381365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.899979Z digest=sha256:49413ee49a39592d71a52236329053526c241a54cc9d4338d710517b4b50e3d9

Observation cf77f7e6-1dd8-4697-84d0-08f1bb66dcc9 · outbound

This paper cites An introductio n to multiparameter persistence.

Decomposing zero-dimensional persistent homology over rooted tree quivers An introductio n to multiparameter persistence

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.370247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.904142Z digest=sha256:40dc8553c04f3da3a3127d530ec583b9fe9d867efa75f0f02c1fd27ac1e977ee

Observation 9db11294-f100-43f8-833e-ce76da1f4c8b · outbound

This paper cites O n the complexity of zero-dimensional multi- parameter persistence, 2020.

Decomposing zero-dimensional persistent homology over rooted tree quivers O n the complexity of zero-dimensional multi- parameter persistence, 2020

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.359372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.908253Z digest=sha256:8c38aee50594050207a27aaa03d72d86d3add3ff197f6a2fee112b5a506b8c94

Observation f05dac10-ad7d-424f-8178-5e37c52f57e7 · outbound

This paper cites Coarse nodal count and topological persi stence.

Decomposing zero-dimensional persistent homology over rooted tree quivers Coarse nodal count and topological persi stence

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.348485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.913155Z digest=sha256:cdc68cd31614e20781413d951f6b2e7b34d6a464211f1e6b6c7fbbfd8022f01a

Observation 03273e3e-61f1-4c79-864e-209fa96b7531 · outbound

This paper cites Eld er-rule-staircodes for augmented metric spaces.

Decomposing zero-dimensional persistent homology over rooted tree quivers Eld er-rule-staircodes for augmented metric spaces

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.336175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.917670Z digest=sha256:c91c9ed3c136d22f8056e473b7614f3c7dd909231ec6f2b2bc22b9a8f0045b91

Observation c7f1342b-9bc6-4b84-90b1-f8c08796cd21 · outbound

This paper cites Guibas, Steve Y.

Decomposing zero-dimensional persistent homology over rooted tree quivers Guibas, Steve Y

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.323401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.921462Z digest=sha256:f8dab960dbe3f9955a60c9ad7d2eb1ef9433c0a50c8ef82dd8034960f0dc92ff

Observation 8fce147e-4fbd-42f8-86b6-536228162c0c · outbound

This paper cites An introduction to topological data analysis: Fundamental and practical aspects for data scientists.

Decomposing zero-dimensional persistent homology over rooted tree quivers An introduction to topological data analysis: Fundamental and practical aspects for data scientists

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.310493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.925301Z digest=sha256:ccb04a90045c3df0569610bd10270cc22e443bcb09fb9a0692d4771ddcca1e7b

Observation 058c6936-25f1-49cc-b6f4-1a05c8f9b92d · outbound

This paper cites The fiber of the persistence map for functi ons on the interval.

Decomposing zero-dimensional persistent homology over rooted tree quivers The fiber of the persistence map for functi ons on the interval

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.298613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.929170Z digest=sha256:c40d87dd7c031a9d350ac5cc4716aadf06295f430b8090abdddc43466ab13e97

Observation 40615f3f-f55f-4767-a2ea-6a493b5891b5 · outbound

This paper cites From trees to barcodes and back again II: Combinatorial and proba bilistic aspects of a topological inverse problem.

Decomposing zero-dimensional persistent homology over rooted tree quivers From trees to barcodes and back again II: Combinatorial and proba bilistic aspects of a topological inverse problem

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.287456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.933062Z digest=sha256:c94809727b1f426e8f307523c3abedf57b8085fb6fcc1d1281358ea0a4b35e52

Observation 77a93938-4817-4401-88b5-936a7e5ee062 · outbound

This paper cites An introduction to quiver representations , volume 184 of Graduate Studies in Mathematics.

Decomposing zero-dimensional persistent homology over rooted tree quivers An introduction to quiver representations , volume 184 of Graduate Studies in Mathematics

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.274379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.938604Z digest=sha256:90f18a77b5343689c7a3e8fe5ba8255353d4a729baca4eb858f165a35dba0beb

Observation e5caf117-155b-455e-a54f-6e9368a68d76 · outbound

This paper cites an unresolved cited work.

Decomposing zero-dimensional persistent homology over rooted tree quivers Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:30:10.254148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.943359Z digest=sha256:549b9e1df788f7b1e0b0e17433ed5dcbde13bc1fc240c4e7c310273301da488a

Observation 8dcc89f2-018e-4b4c-ac6a-3745c1c9a482 · outbound

This paper cites Escolar and Yasuaki Hiraoka.

Decomposing zero-dimensional persistent homology over rooted tree quivers Escolar and Yasuaki Hiraoka

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.239958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.948257Z digest=sha256:a50b9122c1121e361157f417719f93e07898b9595de67ea103af0534d4eb638f

Observation 9df2b399-61d2-4cf2-97ed-e82299eb2e9f · outbound

This paper cites Barcodes: the persistent topology of da ta.

Decomposing zero-dimensional persistent homology over rooted tree quivers Barcodes: the persistent topology of da ta

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.227230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.952815Z digest=sha256:b3122e794b20ab68e28b4df918c8c2f5ce03ad6286b13e32c7c52ae208625217

Observation 0e129539-1674-48bd-ba15-606734756422 · outbound

This paper cites A survey of topological machine learning methods.

Decomposing zero-dimensional persistent homology over rooted tree quivers A survey of topological machine learning methods

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.211112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.957271Z digest=sha256:21526e542bce14d3f3963ccc2aa04ae1aa5c21dbb5112e0c8a42c27e2409731f

Observation c0e0c9ef-d0d6-4d67-995f-0eb34e3cd257 · outbound

This paper cites Reduced representatio ns of rooted trees.

Decomposing zero-dimensional persistent homology over rooted tree quivers Reduced representatio ns of rooted trees

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.197144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.961685Z digest=sha256:1cdf408da705379520787db163fae83db58a003003f08bd2e4f6cc6c394e44d7

Observation 80b759f1-5741-439c-88a7-c43fe3a49deb · outbound

This paper cites Rank functions on rooted tree quivers.

Decomposing zero-dimensional persistent homology over rooted tree quivers Rank functions on rooted tree quivers

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.182141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.966401Z digest=sha256:ab063efcfb968d6ac8764e112d5d0e1136bf13902194287234001036449e928f

Observation 70b8c4d1-402b-40b8-b723-0597cb28b6bb · outbound

This paper cites Computing minimal presentations and bigraded Betti numbers of 2-parameter persistent homology.

Decomposing zero-dimensional persistent homology over rooted tree quivers Computing minimal presentations and bigraded Betti numbers of 2-parameter persistent homology

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.165657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.970352Z digest=sha256:c0e1712cf727c99c69634ab5f05b75fc361c786880888b3f725faf641862befb

Observation 6e3cb823-cce0-41d1-bc70-40567b4fe78f · outbound

This paper cites Indecomposable representations of finite ordered sets.

Decomposing zero-dimensional persistent homology over rooted tree quivers Indecomposable representations of finite ordered sets

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.150482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.973944Z digest=sha256:3b36784410ee1bd09355b773be1979db23f87be7ade37937372239bdf02b9693

Observation ed003046-b7d6-4482-9f47-53f39ee32f02 · outbound

This paper cites an unresolved cited work.

Decomposing zero-dimensional persistent homology over rooted tree quivers Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:30:10.137486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.977777Z digest=sha256:845d812d1e3a59e8d0d91eecf613f6cde1b9826aeec4a5f40d9772ef45911bf4

Observation 9f51065b-db68-4475-802d-cdec301e4ca3 · outbound

This paper cites Topological persistence in geom- etry and analysis , volume 74 of University Lecture Series.

Decomposing zero-dimensional persistent homology over rooted tree quivers Topological persistence in geom- etry and analysis , volume 74 of University Lecture Series

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.124626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.982396Z digest=sha256:677a00316e3ecbe2aa0943baa9396adedcf5739fe8984438ce0a251a4b8727b8

Observation 7a3f43f8-ca17-4635-8538-8e274a762388 · outbound

This paper cites Exceptional modules are tree mod ules.

Decomposing zero-dimensional persistent homology over rooted tree quivers Exceptional modules are tree mod ules

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.108580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.986182Z digest=sha256:fb8637a4c0129f4a6df6edd33a7113ff4af42d855b9354026fe618b3658fb1b2

Observation 1fd51dd4-c75d-4816-a5fb-e70c5a2b0242 · outbound

This paper cites Distinguished bases of exceptio nal modules.

Decomposing zero-dimensional persistent homology over rooted tree quivers Distinguished bases of exceptio nal modules

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.096372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.990153Z digest=sha256:4f226665500f585663d1fb2ab3a5bbb4c89296693f9a6cccef2a55d362786493

Observation 2a22676e-8d5d-446b-a763-5fb114f69ddb · outbound

This paper cites Stable and consiste nt density-based clustering via multiparameter persistence.

Decomposing zero-dimensional persistent homology over rooted tree quivers Stable and consiste nt density-based clustering via multiparameter persistence

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.082429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.994268Z digest=sha256:7e0a0d0f619fcccfd642df683b3e461e41cc900b66c2860d1785ba06514619df

Observation 1e7fbf15-044f-419b-ad34-c8f4980bb3d7 · outbound

This paper cites On the Hofer-Zehnder conjecture.

Decomposing zero-dimensional persistent homology over rooted tree quivers On the Hofer-Zehnder conjecture

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.064490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:09.998034Z digest=sha256:ba56141af45a9f3a6c3afa950fed62088e6967353886c22896e28b6f917e8c2e

Observation 72f1d7fa-0b22-4c32-ac7d-e93e79005f03 · outbound

This paper cites Data structures and network algorithms , volume 44 of CBMS-NSF Regional Conference Series in Applied Mathematics.

Decomposing zero-dimensional persistent homology over rooted tree quivers Data structures and network algorithms , volume 44 of CBMS-NSF Regional Conference Series in Applied Mathematics

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:30:10.044735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T10:30:10.003475Z digest=sha256:32a8580f81e742101d74ae211ee078c4943fc98c313dd62eecc5f2a89485a667

Pith citing papers

Observation 2b2e0666-3129-4c47-bf5e-1a51982c3bd4 · inbound

Counts and end-curves in two-parameter persistence cites this paper.

Counts and end-curves in two-parameter persistence Decomposing zero-dimensional persistent homology over rooted tree quivers

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T20:28:28.391677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:28:28.391677Z digest=sha256:b3bdb56a3dc191bb475086dbc0eb3aee9200a77b3961348e1a7ab89696213731

Observation ac566ef9-ea06-44f2-b04e-8045a8458829 · inbound

Rooted tree modules cites this paper.

Rooted tree modules Decomposing zero-dimensional persistent homology over rooted tree quivers

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T22:11:11.433102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T22:11:11.433102Z digest=sha256:072ce8583ac1154a84a196ef913711032c0c5489ea81ffd07ce1403a1970fdc5

Observation 57190649-c6b7-4b98-bab5-f745ff13a59e · inbound

From Frames to Features: Scalable Zigzag Persistence for Binary Video cites this paper.

From Frames to Features: Scalable Zigzag Persistence for Binary Video Decomposing zero-dimensional persistent homology over rooted tree quivers

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-06-30T03:04:14.115420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T02:54:56.480939Z digest=sha256:998e461db4b9497b8883b78b758188c0b533fc8a2ff808c517194fe996b6aacd