Paper Citation Record · LEDGER

Interactive Visualization of 2-D Persistence Modules

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:1512.00180.

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

pith.paper-citation-record.v1
1512.00180 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:03:01.471808Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

103
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 3e6002d7-ad9b-4e25-b155-582f3174902a · inbound

Galois Connections in Persistent Homology cites this paper.

Galois Connections in Persistent Homology Interactive Visualization of 2-D Persistence Modules

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-05-24T13:14:30.512760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1882a5c3-3d88-448e-a1d5-0016897d1e20 · inbound

Invariants of persistence modules defined by order-embeddings cites this paper.

Invariants of persistence modules defined by order-embeddings Interactive Visualization of 2-D Persistence Modules

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-05-24T04:18:53.794441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation df2706b3-5101-451b-a167-a22a8ae75d8c · inbound

Bipath Persistence as Zigzag Persistence cites this paper.

Bipath Persistence as Zigzag Persistence Interactive Visualization of 2-D Persistence Modules

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T23:03:01.471808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77dec4e0-f488-49e4-aab2-fbdc469ee4ee · inbound

On preservation of relative resolutions for poset representations cites this paper.

On preservation of relative resolutions for poset representations Interactive Visualization of 2-D Persistence Modules

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T22:44:23.786856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6242606e-cc92-4f6b-aecd-c88ab7fd27f5 · inbound

Path representations in multiparameter persistent homology cites this paper.

Path representations in multiparameter persistent homology Interactive Visualization of 2-D Persistence Modules

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T10:32:45.900452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73cd7841-1b19-4dd5-924c-a1f3ca0670b8 · inbound

Interleaving Distance as a Galois-Edit Distance cites this paper.

Interleaving Distance as a Galois-Edit Distance Interactive Visualization of 2-D Persistence Modules

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-05-18T13:11:24.246271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9b4738d7-5e5c-47e0-985e-32295b7486a2 · inbound

Cross effects for functors from posets cites this paper.

Cross effects for functors from posets Interactive Visualization of 2-D Persistence Modules

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:45:58.121181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5c5483df-eb5e-44be-a690-d011a36285a0 · inbound

Computing Homomorphisms of Poset Representations with Applications to Multiparameter Persistence cites this paper.

Computing Homomorphisms of Poset Representations with Applications to Multiparameter Persistence Interactive Visualization of 2-D Persistence Modules

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-05-11T11:01:03.033621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 981a0fc8-0607-4583-98e2-f0169676e93a · inbound

TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information cites this paper.

TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information Interactive Visualization of 2-D Persistence Modules

Reference 88

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T02:50:55.590717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation de1d21db-ceb3-4ace-8eac-dec74ac890a5 · inbound

Bifunction and Interlevel Delaunay Trifiltrations cites this paper.

Bifunction and Interlevel Delaunay Trifiltrations Interactive Visualization of 2-D Persistence Modules

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-05-22T08:24:45.097162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e0762d4d-d8d2-4e2f-bf8d-351e14d0aad5 · inbound

Topological Signatures of Imperial Stress: Persistent Homology of the Eastern Mediterranean Trade Network, 0--400 CE cites this paper.

Topological Signatures of Imperial Stress: Persistent Homology of the Eastern Mediterranean Trade Network, 0--400 CE Interactive Visualization of 2-D Persistence Modules

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-06-29T14:53:31.350106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0af9db1b-6fae-4bda-905d-d0842d8ec3f3 · inbound

Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis cites this paper.

Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis Interactive Visualization of 2-D Persistence Modules

Reference 22

Resolution: metadata mismatch; local_arxiv, observed 2026-06-29T13:53:29.540428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bf72f785-76ce-41e2-a5b8-c75affee9557 · inbound

Multi-parameter persistence in dynamical systems for maximizing effects of control inputs cites this paper.

Multi-parameter persistence in dynamical systems for maximizing effects of control inputs Interactive Visualization of 2-D Persistence Modules

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-07-02T15:37:06.102893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4395197b-e1e3-44ff-b97f-73471041cacf · inbound

Hodge Spectral Surrogates for Topology-Constrained Optimization cites this paper.

Hodge Spectral Surrogates for Topology-Constrained Optimization Interactive Visualization of 2-D Persistence Modules

Reference 29

Resolution: metadata mismatch; local_arxiv, observed 2026-07-04T19:30:07.329049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation adb43384-e8bc-444b-aba5-f39dc1c177eb · inbound

Lower Bounds for Approximating the Vietoris-Rips Filtration cites this paper.

Lower Bounds for Approximating the Vietoris-Rips Filtration Interactive Visualization of 2-D Persistence Modules

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-07-08T03:14:31.431353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0b6e2a93-384e-4f6a-87f5-a176d2191d0e · inbound

The fiber of multiparameter persistent homology for simplicial complexes cites this paper.

The fiber of multiparameter persistent homology for simplicial complexes Interactive Visualization of 2-D Persistence Modules

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T20:17:33.465010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.