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Paper Citation Record · LEDGER

Computing Projective Implicit Representations from Poset Towers

As of 23 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.08755.

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

pith.paper-citation-record.v1
2505.08755 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:59:04.650623Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3378651b-c8d6-4224-a7f1-f5c355a0a1cb · outbound

This paper cites Efficient two-parameter persistence computation via cohomology.

Computing Projective Implicit Representations from Poset Towers Efficient two-parameter persistence computation via cohomology

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:05.041307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.565629Z digest=sha256:d4d2f5edead4a335d1fe432a62bf83d61cac9fa33c7163ee7a37e1681002c0c3

Observation 7617b874-e1d3-4bf0-b5ff-8db37b3e202b · outbound

This paper cites Computing minimal presentations of multi-parameter persistent homology.

Computing Projective Implicit Representations from Poset Towers Computing minimal presentations of multi-parameter persistent homology

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:05.031497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.570198Z digest=sha256:e60bd021b3f04f5795aa3e571036e1511edd37b8ca471ed67bf5ee50ac091b0c

Observation 38817bf9-d91a-4d11-b775-13eb4b0902c0 · outbound

This paper cites An Introduction to Multiparameter Persistence.

Computing Projective Implicit Representations from Poset Towers An Introduction to Multiparameter Persistence

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T21:59:04.573509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:59:04.573509Z digest=sha256:8f83811d4085c894da0a217e82df0fccf681bfb79dfc9b1b4aa0569bc380a8e9

Observation 50e56b7a-7d97-4780-b228-ed2dbe3df276 · outbound

This paper cites Discrete Microlocal Morse Theory.

Computing Projective Implicit Representations from Poset Towers Discrete Microlocal Morse Theory

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:59:04.843309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.577701Z digest=sha256:a56ad0b7f61178db033069919f34ae807918e044358642612cdfd6c09c3dff3b

Observation 3010051e-dfca-4a02-9ab6-b687074eac56 · outbound

This paper cites Zigzag persistence.

Computing Projective Implicit Representations from Poset Towers Zigzag persistence

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:05.021066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.582557Z digest=sha256:3d389dca449d8f74cc469aa56d2fce8f9e9eb737aea4a1f912da297c5fb22b4f

Observation 0c20df52-0ce0-491e-bb7c-296971526fa7 · outbound

This paper cites The theory of multidimensional persistence.

Computing Projective Implicit Representations from Poset Towers The theory of multidimensional persistence

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:05.011303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.586226Z digest=sha256:cb0e7fa1ac1ce7aa1536be32a0197e9c95ae5e510f43bd4c36b5dfcfc2c9ed7d

Observation b6e3f1e0-e1e3-48d9-a35d-fab9a75785b0 · outbound

This paper cites Combinatorial presentation of multidimensional persistent homology.

Computing Projective Implicit Representations from Poset Towers Combinatorial presentation of multidimensional persistent homology

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:05.002073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.590583Z digest=sha256:5ba4b97a7c0fb091393585af437c274746314bb4db69aa74154ffad8eda25bf1

Observation 24c21012-bea9-4ebe-972e-bc5d032b9c4d · outbound

This paper cites Cormen, Charles E.

Computing Projective Implicit Representations from Poset Towers Cormen, Charles E

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T21:59:04.595041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:59:04.595041Z digest=sha256:9a7988c294cc22bd87b1fff4605de3d614c8089dfbb09fc7422ddc8edec80643

Observation 202dd7a8-3228-4e93-b3ff-5a818475bfa8 · outbound

This paper cites Computing topological persistence for simplicial maps.

Computing Projective Implicit Representations from Poset Towers Computing topological persistence for simplicial maps

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.985892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.598598Z digest=sha256:b054257abb24939ac0c75d5accf361cb7d142243b64934ac2ed4380ec14a5c76

Observation 932c8219-8076-44ac-b389-f62807477db3 · outbound

This paper cites Dey and Tao Hou.

Computing Projective Implicit Representations from Poset Towers Dey and Tao Hou

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.975977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.602308Z digest=sha256:314f8aa21283d5dcd9cae69c12e23c09e794698c9d712c725b3a59e9f11272ce

Observation 1c71b97d-3f80-4302-a4ef-f6c4fe6d713b · outbound

This paper cites Dey, Florian Russold, and Shreyas N.

Computing Projective Implicit Representations from Poset Towers Dey, Florian Russold, and Shreyas N

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.965760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.605494Z digest=sha256:4a16c5e9fbc4caa2bb4b3d2f84ca86c749ae422531e03f6b8b79e25f617373a7

Observation b3ef51b3-64a1-4ef3-9f39-5e704de25d42 · outbound

This paper cites Dey and Shreyas N.

Computing Projective Implicit Representations from Poset Towers Dey and Shreyas N

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T21:59:04.608850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:59:04.608850Z digest=sha256:1bb1066b487c3d19688fa73b0f5d498d51e9c464d561354b420542542cbbbd8a

Observation 5d0b5331-accc-4d68-a322-75f6cf538a45 · outbound

This paper cites Dey and Yusu Wang.

Computing Projective Implicit Representations from Poset Towers Dey and Yusu Wang

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.955138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.612365Z digest=sha256:9d0d55b25a54077998da20beaef75b481f87db6aee3a511e5bc6f3f64f53eb31

Observation e3551abc-9a55-4c2a-a13c-e0e93c6ceed1 · outbound

This paper cites Topological persistence and simplification.

Computing Projective Implicit Representations from Poset Towers Topological persistence and simplification

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.945452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.615366Z digest=sha256:b8d4502dd33c47b4f3c6f2f4f5585bbb8e3b49c1df5e921b8e698ac224859710

Observation cb68a1ce-c89a-472e-a40c-a942c1de7f5f · outbound

This paper cites Edelsbrunner and J.

Computing Projective Implicit Representations from Poset Towers Edelsbrunner and J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.935637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.618237Z digest=sha256:6f0bc92c1dd55a8ec3509e051d980da2bc5e0f927c2c33cad1209f8ea74a7796

Observation 4881caef-d439-4d35-8e09-c93d40b8a832 · outbound

This paper cites Spatiotemporal persistence landscapes.

Computing Projective Implicit Representations from Poset Towers Spatiotemporal persistence landscapes

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.925573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.621529Z digest=sha256:9d643b8522cb3e7961de4e31e9a08da1b0a38eca65647c8e43db937a0677c133

Observation c75cf3a0-8733-4e6d-a2d3-9694f7bfc30a · outbound

This paper cites Chunk reduction for multi-parameter persistent homology.

Computing Projective Implicit Representations from Poset Towers Chunk reduction for multi-parameter persistent homology

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.915496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.624396Z digest=sha256:1770f7168dc960a8e9a6e449fb6e11c7bb34a90bca22b4aa7bee670659808e88

Observation 4cc7e24c-b0be-4321-9dd4-89c0f7c5dc6a · outbound

This paper cites DONUT : D atabase of O riginal & N on- T heoretical U ses of T opology, 2022.

Computing Projective Implicit Representations from Poset Towers DONUT : D atabase of O riginal & N on- T heoretical U ses of T opology, 2022

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T21:59:04.627489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:59:04.627489Z digest=sha256:4ac4de84273071ddc46009a0647eaf585e52dce7850c37960bc7f6546b5bfa48

Observation 4559c43d-187c-4e0b-99fa-9b5a7432c359 · outbound

This paper cites Fast minimal presentations of bi-graded persistence modules.

Computing Projective Implicit Representations from Poset Towers Fast minimal presentations of bi-graded persistence modules

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.899701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.631327Z digest=sha256:88e58ea2cdb60254192b3c6e20734c6dc6d662092876a3b6b2211e3062b22824

Observation 8a47c26b-4cd7-4b4f-99c0-8c476762568e · outbound

This paper cites Barcodes of towers and a streaming algorithm for persistent homology.

Computing Projective Implicit Representations from Poset Towers Barcodes of towers and a streaming algorithm for persistent homology

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.888099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.634476Z digest=sha256:189797da1075d0d0235e080bbfe26332ed26d07da9fcb09427404826fb29760c

Observation ae96ffae-7e68-4e7e-873e-757aa17d5128 · outbound

This paper cites Persistence over posets.

Computing Projective Implicit Representations from Poset Towers Persistence over posets

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T21:59:04.637713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:59:04.637713Z digest=sha256:344b4b380ddff9980b69f448dabfbb9937e771985532c219f121b6c518f36914

Observation 60c34a1a-c72b-4da8-bfa1-b289c508b49f · outbound

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

Computing Projective Implicit Representations from Poset Towers Computing minimal presentations and bigraded betti numbers of 2-parameter persistent homology

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.872679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.641001Z digest=sha256:9270b3d9cdc827db0214e1e6da8d12a2b9b9d7d63b7df49f435b334b0100568a

Observation d65b3f19-29c9-4b57-bd79-ebd61a2f0286 · outbound

This paper cites Homological algebra of modules over posets.

Computing Projective Implicit Representations from Poset Towers Homological algebra of modules over posets

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-15T21:59:04.644145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:59:04.644145Z digest=sha256:4bd4747ba0b8bb0b1c64665dcc0bccc24f8fb345c1d0af0091dca28a9084f321

Observation f257f5ea-865c-459b-ab73-712897e75af4 · outbound

This paper cites Computing betti tables and minimal presentations of zero-dimensional persistent homology.

Computing Projective Implicit Representations from Poset Towers Computing betti tables and minimal presentations of zero-dimensional persistent homology

Reference 24

Resolution
verified exact
raw_fallback, observed 2026-08-15T21:59:04.767789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.647714Z digest=sha256:a48f7e2938308de2f6a8ca95edf97aa4a1014980578f5a4ca6d04bbaaecaf5a2

Observation 810c2940-8bc0-4459-83a2-9224c21c6c74 · outbound

This paper cites Computing persistent homology.

Computing Projective Implicit Representations from Poset Towers Computing persistent homology

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:59:04.862317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T21:59:04.650623Z digest=sha256:094758e0a7d7732359c265e10ae1c2eb708f5d3178edcfe3df5dcfbb191c0512

Pith citing papers

No inbound Pith citation observations are available.