Paper Citation Record · LEDGER

Stability of Hypergraph Invariants and Transformations

As of 24 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2412.02020.

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

pith.paper-citation-record.v1
2412.02020 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:59:26.321217Z

measured 34 of 34 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

34 of 34 outbound references displayed

verified exact3
verified fuzzy28
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cffa85ab-88b8-444e-8ea5-34102c580f0e · outbound

This paper cites Persistence homology of networks: methods and applications.

Stability of Hypergraph Invariants and Transformations Persistence homology of networks: methods and applications

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.206512Z

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.

Observation 3dae1159-9fc3-4fca-b216-8779b4a97f9a · outbound

This paper cites A course in metric geometry.

Stability of Hypergraph Invariants and Transformations A course in metric geometry

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.187792Z

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.

Observation 77111c6b-7f90-4893-b038-f7e60f76bbb2 · outbound

This paper cites Characterization, stability and convergence of hierarchical clustering methods.

Stability of Hypergraph Invariants and Transformations Characterization, stability and convergence of hierarchical clustering methods

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.173930Z

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.

Observation 19a4223f-fc28-4718-ba97-050bb92980f0 · outbound

This paper cites Proximity of persistence modules and their diagrams.

Stability of Hypergraph Invariants and Transformations Proximity of persistence modules and their diagrams

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.155500Z

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.

Observation 27c9ba68-dd1c-47f0-bb1e-296687dbc88d · outbound

This paper cites Distances between directed networks and applications.

Stability of Hypergraph Invariants and Transformations Distances between directed networks and applications

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.138496Z

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.

Observation 211ea330-acf3-4f8e-a911-60fce8b6b896 · outbound

This paper cites A functorial dowker theorem and persistent homology of asymmetric networks.

Stability of Hypergraph Invariants and Transformations A functorial dowker theorem and persistent homology of asymmetric networks

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.121925Z

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.

Observation a46349cf-597a-4b61-9184-72dbb29c3342 · outbound

This paper cites The Gromov–Wasserstein distance between networks and stable network invariants.

Stability of Hypergraph Invariants and Transformations The Gromov–Wasserstein distance between networks and stable network invariants

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.095341Z

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.

Observation 2c2e4a42-37d6-45f4-a255-b2ed552574d3 · outbound

This paper cites Distances and isomorphism between networks: stability and convergence of network invariants.

Stability of Hypergraph Invariants and Transformations Distances and isomorphism between networks: stability and convergence of network invariants

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.079537Z

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.

Observation 03e4bf16-b908-4c3c-a648-9ac8071ad80f · outbound

This paper cites Hypergraph co-optimal transport: metric and categorical properties.

Stability of Hypergraph Invariants and Transformations Hypergraph co-optimal transport: metric and categorical properties

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.053647Z

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.

Observation 42ad7e35-eefa-47a9-972a-605469e424ee · outbound

This paper cites The spread of obesity in a large social network over 32 years.

Stability of Hypergraph Invariants and Transformations The spread of obesity in a large social network over 32 years

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.033739Z

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.

Observation 75fd3059-f7a5-4a86-abcf-3af8a4b36e15 · outbound

This paper cites Computational topology for data analysis.

Stability of Hypergraph Invariants and Transformations Computational topology for data analysis

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.021860Z

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.

Observation be8b4264-223a-4927-a1ed-6b9f9172ca96 · outbound

This paper cites Homology groups of relations.

Stability of Hypergraph Invariants and Transformations Homology groups of relations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:27.003019Z

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.

Observation 71a2dc7e-984d-477b-bbce-d03c94c77129 · outbound

This paper cites Persistent homology-a survey.

Stability of Hypergraph Invariants and Transformations Persistent homology-a survey

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T23:59:26.002108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7437676-d0be-4224-8753-ab8d79f9762f · outbound

This paper cites The structure of superspace.

Stability of Hypergraph Invariants and Transformations The structure of superspace

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.981159Z

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.

Observation 28779649-722b-4843-81ae-d9e2ee6b82f6 · outbound

This paper cites Rodr ´ ıguez-Vel´ azquez.

Stability of Hypergraph Invariants and Transformations Rodr ´ ıguez-Vel´ azquez

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.959278Z

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.

Observation f4cb2caa-1f83-403f-9144-63ec4cc04dde · outbound

This paper cites Network ecology in dynamic landscapes.

Stability of Hypergraph Invariants and Transformations Network ecology in dynamic landscapes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.945053Z

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.

Observation 83598357-0ceb-4043-8685-2d7a5260bd9c · outbound

This paper cites Persistent homology: a step-by-step introduction for newcomers.

Stability of Hypergraph Invariants and Transformations Persistent homology: a step-by-step introduction for newcomers

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.925799Z

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.

Observation a120fc25-886c-4dc5-8959-172981344698 · outbound

This paper cites Groups of polynomial growth and expanding maps (with an appendix by jacques tits).

Stability of Hypergraph Invariants and Transformations Groups of polynomial growth and expanding maps (with an appendix by jacques tits)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.904656Z

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.

Observation f2c34097-01d3-41e5-9af3-3d5f138f948f · outbound

This paper cites Jacobs, A.J.

Stability of Hypergraph Invariants and Transformations Jacobs, A.J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.880929Z

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.

Observation b6075098-7629-4245-bb63-db51104cdd0d · outbound

This paper cites Distances between banach spaces.

Stability of Hypergraph Invariants and Transformations Distances between banach spaces

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.861959Z

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.

Observation ec8a5b98-bb21-4cb0-a8fe-ba216fe96005 · outbound

This paper cites Two-mode networks exhibiting data loss.

Stability of Hypergraph Invariants and Transformations Two-mode networks exhibiting data loss

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.847668Z

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.

Observation 274c13b2-5d87-45e4-9e19-0e261858e209 · outbound

This paper cites Nonnegative cross-curvature in infinite dimensions: synthetic definition and spaces of measures.

Stability of Hypergraph Invariants and Transformations Nonnegative cross-curvature in infinite dimensions: synthetic definition and spaces of measures

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T23:59:26.087040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11551162-cf46-4fc6-917b-2b0df319b18b · outbound

This paper cites The theory of the interleaving distance on multidimensional persistence modules.

Stability of Hypergraph Invariants and Transformations The theory of the interleaving distance on multidimensional persistence modules

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.831277Z

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.

Observation 603237b1-4674-47e8-8f06-283de23fcd21 · outbound

This paper cites Regularity of potential functions of the optimal transportation problem.

Stability of Hypergraph Invariants and Transformations Regularity of potential functions of the optimal transportation problem

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.819390Z

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.

Observation 3b051595-49f6-4212-a00d-c9b30f2e6041 · outbound

This paper cites Gromov–Wasserstein distances and the metric approach to object matching.

Stability of Hypergraph Invariants and Transformations Gromov–Wasserstein distances and the metric approach to object matching

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T23:59:26.139654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f501d6aa-b175-42c4-8a19-1e676b5a3c5a · outbound

This paper cites Some properties of Gromov–Hausdorff distances.

Stability of Hypergraph Invariants and Transformations Some properties of Gromov–Hausdorff distances

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.798716Z

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.

Observation cbc47e98-aeb7-4991-a195-be19e9f7a525 · outbound

This paper cites Characterization of Gromov-type geodesics.

Stability of Hypergraph Invariants and Transformations Characterization of Gromov-type geodesics

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.779913Z

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.

Observation 89db9330-dac4-4f47-9907-03e9a1ad57a1 · outbound

This paper cites Hausdorff mapping: 1-lipschitz and isometry properties.

Stability of Hypergraph Invariants and Transformations Hausdorff mapping: 1-lipschitz and isometry properties

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.766599Z

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.

Observation 6712f362-7cec-4b10-bf7a-04bbc697d904 · outbound

This paper cites Co-optimal transport, 2020.

Stability of Hypergraph Invariants and Transformations Co-optimal transport, 2020

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.747344Z

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.

Observation 77b5dfac-7f26-4c46-b9fa-2a8c92453bab · outbound

This paper cites Current approaches to gene regulatory network modelling.

Stability of Hypergraph Invariants and Transformations Current approaches to gene regulatory network modelling

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.732118Z

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.

Observation c22c3f27-e090-4d68-bbf2-638a492b82aa · outbound

This paper cites Hypergraph Dissimilarity Measures.

Stability of Hypergraph Invariants and Transformations Hypergraph Dissimilarity Measures

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:59:26.517031Z

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.

Observation 689a1069-9dcd-44e1-bc67-a20dfc54e0c1 · outbound

This paper cites Springer, 2009.

Stability of Hypergraph Invariants and Transformations Springer, 2009

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:59:26.717649Z

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.

Observation a1919881-5773-41d2-9e85-fbc8f60f0b4d · outbound

This paper cites Geometry of the Space of Partitioned Networks: A Unified Theoretical and Computational Framework.

Stability of Hypergraph Invariants and Transformations Geometry of the Space of Partitioned Networks: A Unified Theoretical and Computational Framework

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:59:26.412223Z

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.

Observation f004be01-a0f2-482f-b6b5-aa7a6844c845 · outbound

This paper cites Topological Simplifications of Hypergraphs.

Stability of Hypergraph Invariants and Transformations Topological Simplifications of Hypergraphs

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:59:26.371794Z

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.

Pith citing papers

No inbound Pith citation observations are available.