Paper Citation Record · LEDGER

The Generalized Rank Invariant: M\"obius invertibility, Discriminating Power, and Connection to Other Invariants

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2207.11591.

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

pith.paper-citation-record.v1
2207.11591 v5

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:14:32.521996Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T13:11:24.239347Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 1a0b441b-cf57-45fe-9f0e-e656097e55a8 · inbound

Barcoding Invariants and Their Comparison cites this paper.

Barcoding Invariants and Their Comparison The Generalized Rank Invariant: M\"obius invertibility, Discriminating Power, and Connection to Other Invariants

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T21:14:32.521996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e01e754f-a187-435c-a9b4-b46edbbe81d2 · inbound

Sparsification of the Generalized Persistence Diagrams for Scalability through Gradient Descent cites this paper.

Sparsification of the Generalized Persistence Diagrams for Scalability through Gradient Descent The Generalized Rank Invariant: M\"obius invertibility, Discriminating Power, and Connection to Other Invariants

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T20:19:00.935486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21ce2035-3408-4def-9ee5-d983246b6364 · inbound

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

Interleaving Distance as a Galois-Edit Distance The Generalized Rank Invariant: M\"obius invertibility, Discriminating Power, and Connection to Other Invariants

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-18T13:11:24.242082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ed4f1533-9efc-46d7-bc96-9863d59d9d2f · inbound

An Algebraic Introduction to Persistence cites this paper.

An Algebraic Introduction to Persistence The Generalized Rank Invariant: M\"obius invertibility, Discriminating Power, and Connection to Other Invariants

Reference 74

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:45:57.310668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.