Paper Citation Record · LEDGER

A Hilbert space embedding of persistence diagrams and barcodes

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2608.08858.

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

pith.paper-citation-record.v1
2608.08858 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:37:28.451572Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

24 of 24 outbound references displayed

verified exact1
verified fuzzy21
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4ea368d8-283f-4066-8046-51fa3e55564f · outbound

This paper cites Bi-Lipschitz embeddings of the space of unorderedm-tuples with a partial transportation metric.

A Hilbert space embedding of persistence diagrams and barcodes Bi-Lipschitz embeddings of the space of unorderedm-tuples with a partial transportation metric

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:29.050391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 93c81a9b-8e3e-49ed-9e0f-6ab1d05c86a3 · outbound

This paper cites The space of persistence diagrams fails to have Yu’s property A.

A Hilbert space embedding of persistence diagrams and barcodes The space of persistence diagrams fails to have Yu’s property A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:29.029484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05ec5e8a-0db2-44af-8ad2-24c91ddd42b0 · outbound

This paper cites Graded Persistence Dia- grams and Persistence Landscapes.

A Hilbert space embedding of persistence diagrams and barcodes Graded Persistence Dia- grams and Persistence Landscapes

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:29.010605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f1f17084-3986-4ddc-be23-795748ad3872 · outbound

This paper cites Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces.

A Hilbert space embedding of persistence diagrams and barcodes Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.991849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1198b497-e78f-4e19-bbfb-0fe30f3d8e86 · outbound

This paper cites Statistical Topological Data Analysis Using Persistence Landscapes.

A Hilbert space embedding of persistence diagrams and barcodes Statistical Topological Data Analysis Using Persistence Landscapes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.974565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e4ca9100-557a-4702-8943-f440c4566224 · outbound

This paper cites The persistence landscape and some of its properties.

A Hilbert space embedding of persistence diagrams and barcodes The persistence landscape and some of its properties

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.955927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b2542998-6bcb-42dc-94fa-1004b89c121d · outbound

This paper cites Universality of persistence diagrams and the bottle- neck and Wasserstein distances.

A Hilbert space embedding of persistence diagrams and barcodes Universality of persistence diagrams and the bottle- neck and Wasserstein distances

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.934739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5ef74d5c-5823-48c7-bca7-a0584459ede4 · outbound

This paper cites Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces.

A Hilbert space embedding of persistence diagrams and barcodes Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.915065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 543d88db-fc58-4fb4-8581-7c0e2c3995a8 · outbound

This paper cites Relative Optimal Transport.

A Hilbert space embedding of persistence diagrams and barcodes Relative Optimal Transport

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:28.372724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adf90e4e-2f7f-474b-bf8d-ecc8cae33d40 · outbound

This paper cites Topological and metric properties of spaces of generalized persistence diagrams.

A Hilbert space embedding of persistence diagrams and barcodes Topological and metric properties of spaces of generalized persistence diagrams

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.897276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3448c136-bf4d-47fa-8cde-ceba6c94c107 · outbound

This paper cites Embeddings of persistence diagrams into Hilbert spaces.

A Hilbert space embedding of persistence diagrams and barcodes Embeddings of persistence diagrams into Hilbert spaces

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.877384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 92d18ddf-f094-4f0c-8f53-0ac944b95ed2 · outbound

This paper cites A rank-based distance for interval modules and Wasserstein stability of persistence landscapes.

A Hilbert space embedding of persistence diagrams and barcodes A rank-based distance for interval modules and Wasserstein stability of persistence landscapes

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:37:28.626931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 08b20c1b-4b7a-4212-bf37-deaa0ef77f11 · outbound

This paper cites On the metric distortion of embedding persis- tence diagrams into separable Hilbert spaces.

A Hilbert space embedding of persistence diagrams and barcodes On the metric distortion of embedding persis- tence diagrams into separable Hilbert spaces

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.857898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c4c4071c-4bf8-46c4-86d4-fabe04f37aca · outbound

This paper cites Sliced Wasserstein Kernel for Persistence Diagrams.

A Hilbert space embedding of persistence diagrams and barcodes Sliced Wasserstein Kernel for Persistence Diagrams

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.839719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 10d9e0f2-2576-426a-8737-8f4e5476e402 · outbound

This paper cites Stability for Persistence Diagrams.

A Hilbert space embedding of persistence diagrams and barcodes Stability for Persistence Diagrams

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.820789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a8a33d0a-576c-45e3-adac-9c919ea969a5 · outbound

This paper cites Decomposition of pointwise finite-dimensional persistence modules.

A Hilbert space embedding of persistence diagrams and barcodes Decomposition of pointwise finite-dimensional persistence modules

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.801558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5fa928f2-36d9-4ec9-92ee-54e6f8584388 · outbound

This paper cites Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport.

A Hilbert space embedding of persistence diagrams and barcodes Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.782754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea737065-bfe0-4183-ba72-ba27e5c22f9b · outbound

This paper cites Probability measures on the space of persistence diagrams.

A Hilbert space embedding of persistence diagrams and barcodes Probability measures on the space of persistence diagrams

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.764541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 103eac4f-99d2-42b5-a881-b746f4851ea7 · outbound

This paper cites an unresolved cited work.

A Hilbert space embedding of persistence diagrams and barcodes Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T04:37:28.426056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93afdae4-e7f4-4829-8c80-e420b98d3ced · outbound

This paper cites The space of persistence diagrams onnpoints coarsely embeds into Hilbert space.

A Hilbert space embedding of persistence diagrams and barcodes The space of persistence diagrams onnpoints coarsely embeds into Hilbert space

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.744395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3268948d-e9f9-458f-b25b-0939d2d22b08 · outbound

This paper cites Coarse Embeddability of Wasserstein Space and the Space of Persistence Diagrams.

A Hilbert space embedding of persistence diagrams and barcodes Coarse Embeddability of Wasserstein Space and the Space of Persistence Diagrams

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.722615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a20aeaa7-659a-4e15-ba9b-38e89708e43f · outbound

This paper cites Fr´ echet means for distributions of persistence diagrams.

A Hilbert space embedding of persistence diagrams and barcodes Fr´ echet means for distributions of persistence diagrams

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.703966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c7b9b7c6-971c-4944-870c-6a91c77c533e · outbound

This paper cites Zaloˇ zba UL FRI, University of Ljubl- jana, 2022.

A Hilbert space embedding of persistence diagrams and barcodes Zaloˇ zba UL FRI, University of Ljubl- jana, 2022

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.685214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 48ea17ab-b3bb-4e4c-8cb6-28867ccf75dc · outbound

This paper cites Nonembeddability of persistence diagrams withp >2 Wasserstein metric.

A Hilbert space embedding of persistence diagrams and barcodes Nonembeddability of persistence diagrams withp >2 Wasserstein metric

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:37:28.666685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.