Paper Citation Record · LEDGER

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm

As of 14 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 3 inbound Pith citation observations for arXiv:2412.07805.

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

pith.paper-citation-record.v1
2412.07805 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:33:10.294492Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:51:40.796580Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T19:30:16.578293Z

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy11
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5049d110-f899-40d9-abf1-2c90231ed2d7 · outbound

This paper cites Ripser: efficient computation of Vietoris–Rips persistence barcodes,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm Ripser: efficient computation of Vietoris–Rips persistence barcodes,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.618980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8c9fa1ed-c6ba-4d21-aa59-8609a6fee35a · outbound

This paper cites GPU-Accelerated Computation of Vietoris-Rips Persistence Barcodes,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm GPU-Accelerated Computation of Vietoris-Rips Persistence Barcodes,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.600772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ece4719e-050e-4703-b09f-013174754909 · outbound

This paper cites Dory: Computation of persistence diagrams up to di- mension two for vietoris–rips filtrations of large data sets,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm Dory: Computation of persistence diagrams up to di- mension two for vietoris–rips filtrations of large data sets,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.578614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0e485888-fc70-4eba-90ca-3fdb9ac74464 · outbound

This paper cites Swap, Shift and Trim to Edge Collapse a Filtration,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm Swap, Shift and Trim to Edge Collapse a Filtration,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.558966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a214dd57-1d12-422f-8f7d-2d60bfb51296 · outbound

This paper cites Faster computation of degree-1 persistent homology using the reduced vietoris-rips filtration,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm Faster computation of degree-1 persistent homology using the reduced vietoris-rips filtration,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.533342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7e1511aa-b275-4b4b-ae6b-dd788848cef2 · outbound

This paper cites an unresolved cited work.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:33:10.509730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 685f30ac-092e-4c28-9997-066853465530 · outbound

This paper cites Edelsbrunner and J.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm Edelsbrunner and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.487014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6a8cf23a-ec67-48b1-8dc3-ef6e9c8a35ad · outbound

This paper cites Skeletonization and partitioning of digital images using discrete morse theory,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm Skeletonization and partitioning of digital images using discrete morse theory,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.468523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3de80f4e-b103-4533-a91b-3c5a5183d495 · outbound

This paper cites The poset of cancellations in a filtered complex,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm The poset of cancellations in a filtered complex,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.445841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 47daf20f-0065-4acd-beca-82db8fdea311 · outbound

This paper cites ¨Uber den h¨ oheren Zusammenhang kompakter r¨ aume und eine Klasse von zusammenhangstreuen Abbildungen,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm ¨Uber den h¨ oheren Zusammenhang kompakter r¨ aume und eine Klasse von zusammenhangstreuen Abbildungen,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.421071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d57c2439-7b40-4526-b40d-974ef87aa9cd · outbound

This paper cites an unresolved cited work.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:33:10.393312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bb8182b4-2a22-4160-822d-26b836ffcb01 · outbound

This paper cites A user’s guide to discrete morse theory,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm A user’s guide to discrete morse theory,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.369343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 03d933f3-bbbe-4729-b3ac-21be8acc04b0 · outbound

This paper cites The relative neighbourhood graph of a finite planar set,.

The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm The relative neighbourhood graph of a finite planar set,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:33:10.347440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 39a145f9-6b09-440c-96bd-1407fa198814 · inbound

ALBATROSS: Cheap Filtration Based Geometry via Stochastic Sub-Sampling cites this paper.

ALBATROSS: Cheap Filtration Based Geometry via Stochastic Sub-Sampling The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T10:51:40.796580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1439e576-2196-42ad-9de6-a2cfdb734634 · inbound

It's All About Covers: Persistent Homology of Cover Refinements cites this paper.

It's All About Covers: Persistent Homology of Cover Refinements The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-15T19:30:16.581752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 272ac07e-0b9d-4998-97bd-4ec0e7d84673 · inbound

BettiSplit: Topology-Guided Privacy-Aware Split Learning Against Feature Inversion and Gradient Leakage cites this paper.

BettiSplit: Topology-Guided Privacy-Aware Split Learning Against Feature Inversion and Gradient Leakage The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-31T11:46:52.416525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.