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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.221429Z digest=sha256:2cb4e122f1dee05d4edcfeeb38ceedc9310d09a71c796c50f0ebe1d05f9a90fc

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.228047Z digest=sha256:683bc86fcf23a0eddbc33becb3fcc38321b6d77ab742e565410bef3d9e1f63dd

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.234539Z digest=sha256:248456d7cffb2c4d395497d865ed18b9cc28b30cfe7fe5351e4e0d21b5ff71d6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.245222Z digest=sha256:009b949c67e8e8ece125d517285dbd8e8e87f15f1abb9ad8c2a7da1037b45242

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.251387Z digest=sha256:d4c45283c5853d3094dc7918733547e3416f4237ded23ea1f3dcd934af84bcf1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.256605Z digest=sha256:a80bbb7459e5feb4887aa2f4d09a8d4d81efd4907c54cf3ea1d8d1c110266399

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.262098Z digest=sha256:7956869369106e7b0d3c68a050a708b7416b2fb2f6576b9073e9c9ed03e21ea7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.267839Z digest=sha256:c30af80e61dbc738785afb3b46004b6bc5c7577c341cae8154e3a09c2e0d166b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.272954Z digest=sha256:cabd036708a74c79cd995d836a37b9d51c969dd38890972bf8cf5490483c8ada

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.278155Z digest=sha256:498abd614749be69680b5ca68873fe25b472abb64fa1df0b8f76743da7f08a7c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.283590Z digest=sha256:1d7b8234a4576d57bda85a14bec0ae3fa190ab71d033760119536a4c5aa84a0d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.288772Z digest=sha256:fedd2a722d1829fedefc636aa620aa14bb6f4f44bf9865ddf4cf817efe0b745d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:33:10.294492Z digest=sha256:7c2270b0602e3caba5f8e23842e1723a4c12bbcf77ff7774eb268eb833422184

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.

source=pdf_text observed=2026-08-05T10:51:40.796580Z digest=sha256:c65171371a1fd232e71532e6a5ca344923ad91de670680d47f6eaaf882320483

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-15T19:29:44.661742Z digest=sha256:edce70a74e974f428a08ef522e814b27890f928d106a197c430d36646438873e

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.

source=pdf_text observed=2026-07-31T11:46:52.416525Z digest=sha256:9610d592fa8132bad0e4feec81eaa9fd85f78a1656e7826413de27e62f1d468d