Paper Citation Record · LEDGER

Persistent Local Systems of Periodic Spaces

As of 21 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2505.13051.

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

pith.paper-citation-record.v1
2505.13051 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:28:46.145946Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

20 of 20 outbound references displayed

verified exact2
verified fuzzy12
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c7856923-d664-4d18-9265-25386c61a973 · outbound

This paper cites Persistent equivariant cohomology.

Persistent Local Systems of Periodic Spaces Persistent equivariant cohomology

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T20:28:45.946939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 896f7656-23b0-486e-ad02-b3469f007b23 · outbound

This paper cites Triangular factorization and inversion by fast matrix multiplication.

Persistent Local Systems of Periodic Spaces Triangular factorization and inversion by fast matrix multiplication

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:47.293921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 052deedf-8b52-4549-88e4-812c1db387c1 · outbound

This paper cites Spatial curvature and periodic boundary conditions in cosmology.

Persistent Local Systems of Periodic Spaces Spatial curvature and periodic boundary conditions in cosmology

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:47.276767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8e432202-c4b0-4516-9dc3-3af3f3ee72f1 · outbound

This paper cites Evolution of local motifs and topological proximity in self-assembled quasi-crystalline phases.

Persistent Local Systems of Periodic Spaces Evolution of local motifs and topological proximity in self-assembled quasi-crystalline phases

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:47.251061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 114a1535-f7ba-4677-98ab-d1d49c81144b · outbound

This paper cites Sheaves, cosheaves and applications.

Persistent Local Systems of Periodic Spaces Sheaves, cosheaves and applications

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T20:28:45.988344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36bfdeff-031f-4fa2-8af7-6664ea8c8f0e · outbound

This paper cites Merge Trees of Periodic Filtrations.

Persistent Local Systems of Periodic Spaces Merge Trees of Periodic Filtrations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T20:28:45.994478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1860bef0-947a-44fd-8bff-4805893b5acc · outbound

This paper cites Abelian categories, volume 1964.

Persistent Local Systems of Periodic Spaces Abelian categories, volume 1964

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:47.189873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 780af99d-ab77-4acf-a939-b412570ab7c2 · outbound

This paper cites Quotient complex (qc)- based machine learning for 2d hybrid perovskite design.

Persistent Local Systems of Periodic Spaces Quotient complex (qc)- based machine learning for 2d hybrid perovskite design

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:47.173083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4a72e408-0f6d-4b9e-9d79-c306a93f36b1 · outbound

This paper cites Tile-transitive tilings of the euclidean and hyperbolic planes by ribbons.

Persistent Local Systems of Periodic Spaces Tile-transitive tilings of the euclidean and hyperbolic planes by ribbons

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:47.154990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c60da20b-6ef5-4c96-9a62-263860e5a9a3 · outbound

This paper cites Persistent local systems.

Persistent Local Systems of Periodic Spaces Persistent local systems

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T20:28:46.042356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04a81284-4b28-4d4e-aee2-b2c0bd9ec4ae · outbound

This paper cites Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets.

Persistent Local Systems of Periodic Spaces Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-15T20:28:46.617762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e8964fff-bdd2-44bc-a2a4-ad1ff494f470 · outbound

This paper cites Zigzag persistent homology in matrix multiplication time.

Persistent Local Systems of Periodic Spaces Zigzag persistent homology in matrix multiplication time

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:47.056924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 69264180-cda3-4237-8ab1-c44c507a401f · outbound

This paper cites Canonical stratifications along bisheaves.

Persistent Local Systems of Periodic Spaces Canonical stratifications along bisheaves

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:46.958074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3797d08f-3213-4af4-a923-4d89c96820be · outbound

This paper cites Quantifying the homology of periodic cell complexes.

Persistent Local Systems of Periodic Spaces Quantifying the homology of periodic cell complexes

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T20:28:46.088088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31069571-068a-430e-8fb5-3fb02fb4d493 · outbound

This paper cites Computing 1-periodic persistent homology with finite windows.

Persistent Local Systems of Periodic Spaces Computing 1-periodic persistent homology with finite windows

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T20:28:46.118813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2572e657-4771-47ba-90b9-a765afe7b6ff · outbound

This paper cites A cellular description of the derived category of a stratified space.

Persistent Local Systems of Periodic Spaces A cellular description of the derived category of a stratified space

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:46.940239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 776c8f82-c4c1-4bf7-8b82-b3b2706a67bf · outbound

This paper cites Level of detail visual analysis of structures in solid-state materials.

Persistent Local Systems of Periodic Spaces Level of detail visual analysis of structures in solid-state materials

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:46.796926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 845aa5c4-b354-4b6b-8007-67a992b2ea30 · outbound

This paper cites Nodal surfaces of fourier series: fundamental invariants of structured matter.

Persistent Local Systems of Periodic Spaces Nodal surfaces of fourier series: fundamental invariants of structured matter

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:46.779548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 28aa4a81-f815-418d-9b35-0e9fac17dd75 · outbound

This paper cites Recurrence quantification analysis of nonlinear dynami- cal systems.

Persistent Local Systems of Periodic Spaces Recurrence quantification analysis of nonlinear dynami- cal systems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:28:46.760066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c28fdb78-1454-40ec-b08c-911229829ceb · outbound

This paper cites Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings.

Persistent Local Systems of Periodic Spaces Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:28:46.238174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.