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Paper Citation Record · LEDGER

Counts and end-curves in two-parameter persistence

As of 18 August 2026, this Paper Citation Record lists 100 of 108 outbound references and 3 inbound Pith citation observations for arXiv:2505.13412.

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

pith.paper-citation-record.v1
2505.13412 v2

Coverage vector

measured 100 of 108 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:28:29.972551Z

measured 103 of 103 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:49.716088Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T05:45:57.314058Z

Reference resolution

100 of 108 outbound references displayed

  • verified exact0
  • verified fuzzy63
  • unresolved37
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cbfcaf32-6841-4696-abf3-a7242c708c2c · outbound

This paper cites Filtration-domination in bifiltered graphs.

Counts and end-curves in two-parameter persistence Filtration-domination in bifiltered graphs

Reference 1

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source=pdf_text observed=2026-08-15T20:28:28.208238Z digest=sha256:ebf5cf7066754b39276793cc60493eea9135c8c1c021f73b59aadcf6ed02dd29

Observation b2566634-06ad-4ef6-8a1a-ff954a8c7677 · outbound

This paper cites an unresolved cited work.

Counts and end-curves in two-parameter persistence Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-15T20:28:28.256527Z digest=sha256:0456686ec1501fd8ca03a369f87e7e29cde6c77549ff770e80d31c825f820b4d

Observation ce466d2f-2d90-4685-a316-4252b9d6a8a4 · outbound

This paper cites Escolar, Ken Nakashima, and Michio Yoshiwaki.

Counts and end-curves in two-parameter persistence Escolar, Ken Nakashima, and Michio Yoshiwaki

Reference 3

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source=pdf_text observed=2026-08-15T20:28:28.329108Z digest=sha256:c22ba2003269dfede28cb8e402910865aeec47fb24f8be29f338d3abf32c9645

Observation d7e6bba8-3ffe-4b77-88a0-c9b8171e19ba · outbound

This paper cites Escolar, Ken Nakashima, and Michio Yoshiwaki.

Counts and end-curves in two-parameter persistence Escolar, Ken Nakashima, and Michio Yoshiwaki

Reference 4

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source=pdf_text observed=2026-08-15T20:28:28.333446Z digest=sha256:4d6cc1a27b19e5d4336a74aa2f85fdde6831202e13fbf43736e3792c91097eda

Observation fe4ba8c2-90bd-4a42-946e-8e0fbf596aee · outbound

This paper cites Escolar, Ken Nakashima, and Michio Yoshiwaki.

Counts and end-curves in two-parameter persistence Escolar, Ken Nakashima, and Michio Yoshiwaki

Reference 5

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source=pdf_text observed=2026-08-15T20:28:28.337870Z digest=sha256:720ff4a2caaf42fdabd8dbb97be3f2b2ad0cf52997a326ffd67d05b9e39d9b56

Observation 8b476955-0dd0-4637-b198-c9102d8e0195 · outbound

This paper cites Elements of the representation theory of associa- tive algebras.

Counts and end-curves in two-parameter persistence Elements of the representation theory of associa- tive algebras

Reference 6

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source=pdf_text observed=2026-08-15T20:28:28.342293Z digest=sha256:a8acc5a4bebd374dca6d7eea955ba65ab8db362a8efa7b88eb4f0fb25a54ed9b

Observation 31b54d89-8074-49d0-8fb9-38808676bff5 · outbound

This paper cites On the dimension of modules and algebras.

Counts and end-curves in two-parameter persistence On the dimension of modules and algebras

Reference 7

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source=pdf_text observed=2026-08-15T20:28:28.347242Z digest=sha256:b03df21aa3881daebfb6c10725823b711e6bc880e72f9e9a02a17aafe3212dab

Observation 0a4f54d7-2cb5-4010-9831-f1e29341c2a0 · outbound

This paper cites an unresolved cited work.

Counts and end-curves in two-parameter persistence Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-15T20:28:28.352170Z digest=sha256:3fac119418c7b4b9f6bf8b1c65dedaf8b75c937dcb573cd05218664e88070e8a

Observation b3e21ba7-b286-4f3c-a307-150b30382656 · outbound

This paper cites an unresolved cited work.

Counts and end-curves in two-parameter persistence Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-15T20:28:28.356425Z digest=sha256:3783ec03e43994a8d3f0db2ec51c30222ce5e50c0ce3a125305a45736f8ad264

Observation 41362784-4662-4214-997b-710721644292 · outbound

This paper cites Efficient Two-Parameter Persistence Computation via Co- homology.

Counts and end-curves in two-parameter persistence Efficient Two-Parameter Persistence Computation via Co- homology

Reference 10

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source=pdf_text observed=2026-08-15T20:28:28.360707Z digest=sha256:0df62cbc5ac5a3dce81eae1de7eb0b17c7f6b0b1115a879421f8d45119a3ba54

Observation ca8de0de-902f-44b4-9575-b4c9ce4528cb · outbound

This paper cites Induced matchings and the algebraic stability of persistence barcodes.

Counts and end-curves in two-parameter persistence Induced matchings and the algebraic stability of persistence barcodes

Reference 11

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source=pdf_text observed=2026-08-15T20:28:28.364793Z digest=sha256:cfc0ecd206bc7909d91bbef9e7fc6392f7320acff43f2eaac67e40e9582ff3a2

Observation 2b738e48-e66d-47af-8378-d3e8c437ef72 · outbound

This paper cites Medina-Mardones, and Maximilian Schmahl.

Counts and end-curves in two-parameter persistence Medina-Mardones, and Maximilian Schmahl

Reference 12

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source=pdf_text observed=2026-08-15T20:28:28.368563Z digest=sha256:5dd05d659e1facd4dd815a19e0360437698b390fe37c0b9846c110ff647ef23e

Observation 6ccf54af-21a2-4f86-960c-e864c095f937 · outbound

This paper cites Multi-parameter persistence modules are generically indecomposable.

Counts and end-curves in two-parameter persistence Multi-parameter persistence modules are generically indecomposable

Reference 13

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source=pdf_text observed=2026-08-15T20:28:28.372080Z digest=sha256:50febd900c1e94c830d8290fe314f9c0d5e89578ea88ff353444f99df19e5c94

Observation 40370ed0-9747-4f56-88e8-cfe36faaa908 · outbound

This paper cites Triangulations of flow polytopes, ample framings, and gentle algebras.

Counts and end-curves in two-parameter persistence Triangulations of flow polytopes, ample framings, and gentle algebras

Reference 14

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source=pdf_text observed=2026-08-15T20:28:28.375533Z digest=sha256:de23b475528ca675a893be822ddfb740b83c8b0340f4726f16850819973889b3

Observation d1461889-2ce2-42b7-b981-8cc3a22c688d · outbound

This paper cites Multiscale topology classifies cells in subcellular spatial transcriptomics.

Counts and end-curves in two-parameter persistence Multiscale topology classifies cells in subcellular spatial transcriptomics

Reference 15

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source=pdf_text observed=2026-08-15T20:28:28.379315Z digest=sha256:d0dc78054a90da4c5930f5596b08fafd155c1307db16346a5d40185f6b0bfc90

Observation c1b1991e-0bb4-413c-bb98-40b99c60e844 · outbound

This paper cites Projected distances for multi-parameter persistence modules, (to appear in) Annales de l’Institut Fourier.

Counts and end-curves in two-parameter persistence Projected distances for multi-parameter persistence modules, (to appear in) Annales de l’Institut Fourier

Reference 16

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source=pdf_text observed=2026-08-15T20:28:28.383262Z digest=sha256:80255cc9666c59ef7b9773df254179f9d9a5b40f7bb8a5cd964711d30d5b36db

Observation 5ff37f19-50ba-4784-b8ff-a76465573437 · outbound

This paper cites Biasotti, A.

Counts and end-curves in two-parameter persistence Biasotti, A

Reference 17

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source=pdf_text observed=2026-08-15T20:28:28.387654Z digest=sha256:b9c297cc725fab74e45431d648fa1be88e175cf0043d8a7aa955d25cebe64cf5

Observation 2b2e0666-3129-4c47-bf5e-1a51982c3bd4 · outbound

This paper cites Decomposing zero-dimensional persistent homology over rooted tree quivers.

Counts and end-curves in two-parameter persistence Decomposing zero-dimensional persistent homology over rooted tree quivers

Reference 18

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source=pdf_text observed=2026-08-15T20:28:28.391677Z digest=sha256:b3bdb56a3dc191bb475086dbc0eb3aee9200a77b3961348e1a7ab89696213731

Observation 476cd983-0b13-451f-87ee-3253ed2a1414 · outbound

This paper cites Triangulation, persistence, and fukaya categories, (to appear in) Memoirs of the European Mathematical Society.

Counts and end-curves in two-parameter persistence Triangulation, persistence, and fukaya categories, (to appear in) Memoirs of the European Mathematical Society

Reference 19

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source=pdf_text observed=2026-08-15T20:28:28.396086Z digest=sha256:8fb56ed08a8b903889e85bfa3923136d87aff37289593f19bcd660e37217c2e8

Observation 4ac61b14-2da1-4539-8739-7684126f5d9c · outbound

This paper cites On the stability of interval decomposable persistence modules.

Counts and end-curves in two-parameter persistence On the stability of interval decomposable persistence modules

Reference 20

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source=pdf_text observed=2026-08-15T20:28:28.400179Z digest=sha256:9c63562316f433a84891cc31909104f9a45ffaa1f0bec681e9f46427f9716b69

Observation 98680bf3-17bf-4423-a137-b005b783d2b6 · outbound

This paper cites Stabilizing decomposition of multiparameter persistence modules.

Counts and end-curves in two-parameter persistence Stabilizing decomposition of multiparameter persistence modules

Reference 21

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source=pdf_text observed=2026-08-15T20:28:28.403767Z digest=sha256:fa84bb5689e19e387026ef5939b8ecc88cfe87f50417989e0b03e1ca6dce43b5

Observation 56302d0d-0de6-4f68-a455-4396dc8e571a · outbound

This paper cites Bj¨ orner.

Counts and end-curves in two-parameter persistence Bj¨ orner

Reference 22

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source=pdf_text observed=2026-08-15T20:28:28.407996Z digest=sha256:f95f8b6df3f506b2fb14b60f86c65849b649c5ddb0fe17efb85a225f098241e5

Observation 7715afd9-2197-434e-930a-1209b79fdc54 · outbound

This paper cites an unresolved cited work.

Counts and end-curves in two-parameter persistence Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-15T20:28:28.446880Z digest=sha256:570431468deb667ca6f0032f77909c7e33150956ae0741902d1385ec1172c2d4

Observation c1679edb-07fb-447a-9a70-abed9f500888 · outbound

This paper cites Persistent homology of function spaces, 2025.

Counts and end-curves in two-parameter persistence Persistent homology of function spaces, 2025

Reference 24

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source=pdf_text observed=2026-08-15T20:28:28.552430Z digest=sha256:04714a8f156a0ea9c9a4edbb9a35ae057f68146b24a49093a80a0f66b0f58e3a

Observation 1e8376f0-6fd2-49e3-80f8-3fd20a7e280d · outbound

This paper cites A universal null-distribution for topological data analysis.

Counts and end-curves in two-parameter persistence A universal null-distribution for topological data analysis

Reference 25

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source=pdf_text observed=2026-08-15T20:28:28.655676Z digest=sha256:0241c60415d3aa63e36472dcdbc5bb4dd42891c5ef9a600de7a98535ee475d99

Observation c05ce616-efeb-43ee-986a-99f6770a84a2 · outbound

This paper cites Botnan, Vadim Lebovici, and Steve Oudot.

Counts and end-curves in two-parameter persistence Botnan, Vadim Lebovici, and Steve Oudot

Reference 26

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source=pdf_text observed=2026-08-15T20:28:28.728653Z digest=sha256:3ea6a605325bf81161e616e6a168a5145e2e6c45ea4fbc71ac7b0de47858a6bc

Observation c1ab7f2f-2940-4bb6-b625-472c9edb1114 · outbound

This paper cites Algebraic stability of zigzag persistence modules.

Counts and end-curves in two-parameter persistence Algebraic stability of zigzag persistence modules

Reference 27

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source=pdf_text observed=2026-08-15T20:28:28.779163Z digest=sha256:31de8f9b657a60057dcde05a17abd00dd66254307b69441d623a236fb22f147e

Observation 7b13fd0e-a98b-4513-a2b1-48139f6d0450 · outbound

This paper cites An introduction to multiparameter persistence.

Counts and end-curves in two-parameter persistence An introduction to multiparameter persistence

Reference 28

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source=pdf_text observed=2026-08-15T20:28:28.784878Z digest=sha256:dd6444002e56e11a15a327bafcd3b6bffbe8ccf9005672435319f766f61e0dbc

Observation db8680ff-28fe-424d-a0f4-910320b8ba5f · outbound

This paper cites Signed barcodes for multi-parameter persistence via rank decompositions and rank-exact resolutions.

Counts and end-curves in two-parameter persistence Signed barcodes for multi-parameter persistence via rank decompositions and rank-exact resolutions

Reference 29

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source=pdf_text observed=2026-08-15T20:28:28.789281Z digest=sha256:0ebad27e0e8c9154d1316e87966161bd7eabe6f17b508b06438f7ab4071d5d2b

Observation 2d8d372d-adca-445d-a0cc-0f857a0b25f8 · outbound

This paper cites On the bottleneck stability of rank decompositions of multi-parameter persistence modules.

Counts and end-curves in two-parameter persistence On the bottleneck stability of rank decompositions of multi-parameter persistence modules

Reference 30

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verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.670448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:28.793777Z digest=sha256:fa41bceb6c909e1fed032e1fc768c6dbffac262e56ed288b30fe5dd4e3c1a471

Observation 7991f8fa-5847-4624-a76a-2dd63853c077 · outbound

This paper cites Catanzaro.

Counts and end-curves in two-parameter persistence Catanzaro

Reference 31

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raw_fallback, observed 2026-08-15T20:28:32.657275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:28.798381Z digest=sha256:cd779fabcef3577b6d5ba973f12c110291f6b9cc07e0f00a64aa328d79f6b210

Observation a115d675-db38-4ce8-a51d-579aead2c5f6 · outbound

This paper cites an unresolved cited work.

Counts and end-curves in two-parameter persistence Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:28.802245Z digest=sha256:5c80f3601d0adcddb8feb1d35d2b81b11a17a6c1c37184393cc52f1eba76745c

Observation ed6351c3-83fe-4327-885d-92c1ad2ed208 · outbound

This paper cites Bifiltrations and persistence paths for 2-Morse functions.

Counts and end-curves in two-parameter persistence Bifiltrations and persistence paths for 2-Morse functions

Reference 33

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verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.631361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:28.806396Z digest=sha256:bf0a1db439b9c9e2b58e6d58a22625d5af10d29d4240af1dfd5f64f3a73ca77d

Observation aa960aa4-8229-4b50-949b-33f994939192 · outbound

This paper cites Coarse nodal count and topological persistence.Journal of the European Mathematical Society , 2024.

Counts and end-curves in two-parameter persistence Coarse nodal count and topological persistence.Journal of the European Mathematical Society , 2024

Reference 34

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verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.517086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:28.810405Z digest=sha256:5f8900293b7a867aa323dbeaba04216e88be58c20a62554033bbd471201f11f2

Observation 9ee50cd1-4bb4-47e6-bd96-73624150fb4f · outbound

This paper cites Persistent transcendental B´ ezout theorems.Forum Math.

Counts and end-curves in two-parameter persistence Persistent transcendental B´ ezout theorems.Forum Math

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.412943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:28.814803Z digest=sha256:0bd26fb53d872a2d73f574cf3e77c5b81a13e689724fb5490bc7dbb0d466e4a0

Observation d8627f67-6634-4986-8f15-4f131cff0a21 · outbound

This paper cites an unresolved cited work.

Counts and end-curves in two-parameter persistence Unresolved cited work

Reference 36

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raw_fallback, observed 2026-08-15T20:28:32.372291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:28.876875Z digest=sha256:b68c5bf8efceead97835a3b21bf2ddebd64a7e2a4f4a48e0cfe248b009b1a1ab

Observation ad4759d4-40df-4eb3-aacc-cb0b24750794 · outbound

This paper cites The theory of multidimensional persistence.

Counts and end-curves in two-parameter persistence The theory of multidimensional persistence

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.359197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.001911Z digest=sha256:c7617ef1a16540afb9c9131abc637742fdf42b2957d152710083baa2bf9f8e67

Observation 7bc21bd6-4c27-493d-8f94-e0230cdc477a · outbound

This paper cites La stratification naturelle des espaces de fonctions diff´ erentiables r´ eelles et le th´ eor` eme de la pseudo- isotopie.

Counts and end-curves in two-parameter persistence La stratification naturelle des espaces de fonctions diff´ erentiables r´ eelles et le th´ eor` eme de la pseudo- isotopie

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.344611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.100152Z digest=sha256:d488d74b973681c758ad2007d34b8452a35af63adffbc01bb6d941e7c5282c3f

Observation 487908ca-1b51-4d9e-8a48-78775bbc6963 · outbound

This paper cites Betti numbers in multi- dimensional persistent homology are stable functions.

Counts and end-curves in two-parameter persistence Betti numbers in multi- dimensional persistent homology are stable functions

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.248953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.174514Z digest=sha256:d812ef06d2d2c03a003a040bc3bab930db4ee6a7c409484e1132ca2d7d982993

Observation be03218f-1c4b-4fd2-8db0-51617dc453ac · outbound

This paper cites The coherent matching distance in 2D persistent homology.

Counts and end-curves in two-parameter persistence The coherent matching distance in 2D persistent homology

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.065490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.179189Z digest=sha256:cce72eb2a0adc7bc30a9327b16dec2340fc9b5a46d5f057cac38626ed9ccacf3

Observation dfcc8929-0b82-4de6-8654-6dead004eb77 · outbound

This paper cites On the geometrical properties of the coherent matching distance in 2D persistent homology.

Counts and end-curves in two-parameter persistence On the geometrical properties of the coherent matching distance in 2D persistent homology

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.052290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.183582Z digest=sha256:72d2f369f5c509c2c8920b42c1ad0a415472169294df1d3df4b799adabdedc82

Observation 62a52c6e-5c62-4c9f-b8f9-b1a3f2deda18 · outbound

This paper cites Proximity of persistence modules and their diagrams.

Counts and end-curves in two-parameter persistence Proximity of persistence modules and their diagrams

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.039917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.187830Z digest=sha256:2e9097ca0ccaa7fa4b6f6b7906ef0a587daed9e8e64f011e51042f78594837af

Observation 93aab726-417c-46a5-b380-e1d8ae6abcbc · outbound

This paper cites SpringerBriefs in Mathematics.

Counts and end-curves in two-parameter persistence SpringerBriefs in Mathematics

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:32.025444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.191759Z digest=sha256:e3900a82c9507073c6108f997821005bfcac4f02b877b62ef9fa65daedd3bf42

Observation 442de581-b742-4980-936b-2ce8f924e61e · outbound

This paper cites The generalized rank invariant: M¨ obius invertibility, discriminating power, and connection to other invariants, 2024.

Counts and end-curves in two-parameter persistence The generalized rank invariant: M¨ obius invertibility, discriminating power, and connection to other invariants, 2024

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.995302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.195943Z digest=sha256:b85e60820378d7e95f9527c37cc918a86d1532352024f10d7aba3809b50e6f08

Observation a8f07e51-b584-498d-bd00-21cde3a23eeb · outbound

This paper cites Stability of persistence diagrams.

Counts and end-curves in two-parameter persistence Stability of persistence diagrams

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.917440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.200087Z digest=sha256:1074e980acb0886b4d431d9a66126ec0b49530de3d1553ac14fe7e50e764a950

Observation b495fd7d-5621-4da1-a68b-e4fa65ec56ed · outbound

This paper cites Classification of modules for infinite-dimensional string algebras.

Counts and end-curves in two-parameter persistence Classification of modules for infinite-dimensional string algebras

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.903999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.205030Z digest=sha256:ddafdb00db093990fe2dd82c4f538c83116c35f8b1bc99af80f28a8bb88a2797

Observation df27cff1-ac95-4256-af09-5f4cdad34942 · outbound

This paper cites Sheaves, cosheaves and applications.

Counts and end-curves in two-parameter persistence Sheaves, cosheaves and applications

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.889771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.208996Z digest=sha256:1de406b0c7e93b67103b7adabdfe03a88eea74dc0f139954efc69425e397e08c

Observation d76d7f1d-f414-43b2-9fb0-8240b9ac3b99 · outbound

This paper cites An introduction to quiver representations , volume 184 of Graduate Studies in Mathematics.

Counts and end-curves in two-parameter persistence An introduction to quiver representations , volume 184 of Graduate Studies in Mathematics

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.875632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.212734Z digest=sha256:395dcfb7cf832ca74a83f25517fe84566181cb8daa0f18097d186f98f4cdf50b

Observation 3d1e2847-8e75-4f6b-8e63-582ce4fa23af · outbound

This paper cites Dey, Jan Jendrysiak, and Michael Kerber.

Counts and end-curves in two-parameter persistence Dey, Jan Jendrysiak, and Michael Kerber

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.863474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.217028Z digest=sha256:cf7a88627dd3596267c40239677794bd78c41bdc951f597ff353ef6e189d4c5d

Observation e43962bf-dd52-4109-aa44-7297d2824452 · outbound

This paper cites Dey, Woojin Kim, and Facundo M´ emoli.

Counts and end-curves in two-parameter persistence Dey, Woojin Kim, and Facundo M´ emoli

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.850247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.305727Z digest=sha256:0bd6b59de2f56ad085e087972e6a0560a911b1570132364271817c8a0652ada5

Observation 140caf31-e020-456d-b652-d21743014186 · outbound

This paper cites Dey, Micha l Lipi´ nski, and Manuel Soriano-Trigueros.

Counts and end-curves in two-parameter persistence Dey, Micha l Lipi´ nski, and Manuel Soriano-Trigueros

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.793154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.442431Z digest=sha256:a415807fa818c3434945efe2a4b2cad4d2114ee2622f0e931b543f2d17c85991

Observation 8b6bc564-acc5-4b0b-9465-ec1ce9e1724e · outbound

This paper cites Topological persistence and simplification.

Counts and end-curves in two-parameter persistence Topological persistence and simplification

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.779585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.447036Z digest=sha256:bb6052120ef08f55bd4c2f4135ae0c9b73df273e024be28d728a2b6a21c2f36f

Observation e2ff657e-14e1-4be1-ba32-2d1435796c07 · outbound

This paper cites Escolar and Yasuaki Hiraoka.

Counts and end-curves in two-parameter persistence Escolar and Yasuaki Hiraoka

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.765488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.451429Z digest=sha256:c70c20809302c7dcd35ccb199127a1fa863c02eb483b91a94936fb23ae5801e0

Observation d8de34f2-1343-4e42-822f-0eddbdacc942 · outbound

This paper cites Escolar and Woojin Kim.

Counts and end-curves in two-parameter persistence Escolar and Woojin Kim

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.750632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.455682Z digest=sha256:e41743cf54837643ebf2e3cae03b5271bbeef2de3fa804b871a011d4f73f1593

Observation 6c458b2f-ed27-4e1d-a9ed-5a1f704dec15 · outbound

This paper cites Confidence sets for persistence diagrams.

Counts and end-curves in two-parameter persistence Confidence sets for persistence diagrams

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.670588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.459753Z digest=sha256:6c38c965d2c2c16cd12362b4a3906d26b8d919bfab5ac7ee9bbc8c1b71daa880

Observation 34575d31-d2c0-40f3-b192-4b1a4e2343cb · outbound

This paper cites Size theory as a topological tool for computer vision.

Counts and end-curves in two-parameter persistence Size theory as a topological tool for computer vision

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.561183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.463425Z digest=sha256:0b34107c0f256dcf094d28df50c61fe3c2f28bce99d57d956f219f0a75a3e7cf

Observation ed69c54a-d576-4142-b2a8-940816754d8b · outbound

This paper cites Size homotopy groups for computation of natural size distances.

Counts and end-curves in two-parameter persistence Size homotopy groups for computation of natural size distances

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.547254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.467647Z digest=sha256:7d178d64a248d6529b7a15dcfaf14651e29199f03ea35fa1d774c6a854e96417

Observation d1f9bff2-b463-43a6-8cc5-0d201bc659b0 · outbound

This paper cites Lagrangian intersection Floer theory: anomaly and obstruction.

Counts and end-curves in two-parameter persistence Lagrangian intersection Floer theory: anomaly and obstruction

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.533025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.471111Z digest=sha256:bef3ae9f11288771f2776c1a6e3e42071b3330315c31e8018844d65200ce3386

Observation 3c7f533c-ce0e-4207-8a83-4f27eadaab11 · outbound

This paper cites Displacement of polydisks and Lagrangian Floer theory.

Counts and end-curves in two-parameter persistence Displacement of polydisks and Lagrangian Floer theory

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.519781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.474746Z digest=sha256:1f2bfca4ccabe4052320d761e405ff6ea688662610d4ca1181721a0f1879c6a9

Observation a26a7edb-a800-4b48-aadc-511edcc6df7c · outbound

This paper cites Repr´ esentations ind´ ecomposables.

Counts and end-curves in two-parameter persistence Repr´ esentations ind´ ecomposables

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.506756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.479500Z digest=sha256:441ec3d50eac1bb8585f1656c68e730c0e1c803aa5211668ea569afc5075c031

Observation a5914d8e-731e-4687-8bcd-dfb4cbee4758 · outbound

This paper cites Toroidal topology of population activity in grid cells.

Counts and end-curves in two-parameter persistence Toroidal topology of population activity in grid cells

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-15T20:28:29.484169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:28:29.484169Z digest=sha256:8ad30387e1bc28594879802f5333a1c862d75eb1006315b6771fc80976ce46e6

Observation a4d99bb3-c95b-44bb-8fd4-11bab76a01ef · outbound

This paper cites Gay and Robion Kirby.

Counts and end-curves in two-parameter persistence Gay and Robion Kirby

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.484144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.488327Z digest=sha256:26e52a800829137bea3559bcbd4033ba910c4e8b298cdbf5900efb5b530a3799

Observation eff3a40b-070a-46d3-8d8b-e4dee037e5ea · outbound

This paper cites Global dimension of real-exponent polynomial rings.

Counts and end-curves in two-parameter persistence Global dimension of real-exponent polynomial rings

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.470747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.492318Z digest=sha256:771bc9e8779daf14cb3878910c59716bbbf2fad2e31eaf8d6ae9742992b310f7

Observation 9aa1d2f0-71ca-449f-8198-1111edea6f61 · outbound

This paper cites Recurrences reveal shared causal drivers of complex time series.

Counts and end-curves in two-parameter persistence Recurrences reveal shared causal drivers of complex time series

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.456174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.496225Z digest=sha256:c36d6340279951bb9752354e1ecd6e5c28e65bc0420faa9adfef105dba3e7d39

Observation d578d089-2d8e-453c-9d0a-280af90b0bb8 · outbound

This paper cites Pseudo-isotopies of compact manifolds , volume No.

Counts and end-curves in two-parameter persistence Pseudo-isotopies of compact manifolds , volume No

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.426635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.499710Z digest=sha256:d0bfdd3eb370e7b8ddc95c56dd152a0089b15172125402b19b86da6f60a6ffdd

Observation 1082ed0e-5902-401e-88e9-3565411f5b23 · outbound

This paper cites Biparametric persistence for smooth filtrations, 2021.

Counts and end-curves in two-parameter persistence Biparametric persistence for smooth filtrations, 2021

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.377497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.503863Z digest=sha256:5f5e0a3fdc2ac787ccd5748aa8e25f5fcfdb172c8281ecedf20a9cd8258ac4f1

Observation 7a256b71-b4a9-459b-8353-73936758bcb6 · outbound

This paper cites Persistent homology and microlocal sheaf theory.

Counts and end-curves in two-parameter persistence Persistent homology and microlocal sheaf theory

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.292102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.508076Z digest=sha256:18203705af16a6aeedba911036a6b510b4464b76b111425293ee8c1d54dd5e07

Observation b41d6a7e-3df1-443f-8e17-9b27f4431148 · outbound

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

Counts and end-curves in two-parameter persistence Fast minimal presentations of bi-graded persistence modules

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.267023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.511901Z digest=sha256:766e25a10c5748e360f4770fb373f16cfb0af1df398b032c752f9edef92234dc

Observation 3f94c660-f0f9-4181-b42a-fdb94be5d9d7 · outbound

This paper cites Super-polynomial growth of the generalized persistence diagram, 2025.

Counts and end-curves in two-parameter persistence Super-polynomial growth of the generalized persistence diagram, 2025

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.253250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.515659Z digest=sha256:365fa1574149cdce357d5416fb2e16563ed65183e3ed56cfa32db65de56c09e2

Observation 3e6cf25c-0ac8-4950-ac47-413a2722d9b5 · outbound

This paper cites Generalized persistence diagrams for persistence modules over posets.

Counts and end-curves in two-parameter persistence Generalized persistence diagrams for persistence modules over posets

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.238537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.519829Z digest=sha256:0ba06c63c0779ec188a3795c077e70417fecf3d8fc183c5831964bf9ae4f4e6d

Observation 5c661865-64c5-4e02-98f7-4b68beeb5122 · outbound

This paper cites A calculus for framed links in S3.

Counts and end-curves in two-parameter persistence A calculus for framed links in S3

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.223103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.524220Z digest=sha256:3e3614479feed51074854b56a4f7ce7b2e4e03b31b03d43b24f3f16054a21a65

Observation 5e16b1e7-0970-407e-bab4-e0ff2a58a327 · outbound

This paper cites Laubenbacher and Bernd Sturmfels.

Counts and end-curves in two-parameter persistence Laubenbacher and Bernd Sturmfels

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.209347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.528466Z digest=sha256:f3879fdd57d4feb2bf4bc1399bbab95899a55416cc284216884429313b37e379

Observation b5e12151-b07e-4dcc-bb9a-a00c7e42a9e0 · outbound

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

Counts and end-curves in two-parameter persistence The theory of the interleaving distance on multidimensional persistence modules

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.195720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.533214Z digest=sha256:8e79b7ed68e8c367e869ef234774c7724fbfb59d7821ad7239bde011fc023059

Observation 94173316-a57b-4a38-8cd6-30d2c7e67747 · outbound

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

Counts and end-curves in two-parameter persistence Computing minimal presentations and bigraded Betti numbers of 2- parameter persistent homology

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.181681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.537303Z digest=sha256:fc340841f10e0492e9a9d2267f6998f8d74c5601f2368641ccab0b27f1f7b2d8

Observation 7c1bbe86-b49e-43ba-ba06-cd70bb72d89e · outbound

This paper cites Vietoris-Rips persistent homology, injective metric spaces, and the filling radius.

Counts and end-curves in two-parameter persistence Vietoris-Rips persistent homology, injective metric spaces, and the filling radius

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.135565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.585914Z digest=sha256:6795076797c5baa27ae62662143f5f40ea6bd01d80a91d18a37b664ccc1d9d91

Observation 60b51416-8589-48d9-8b3c-7f46fe81c214 · outbound

This paper cites Categories for the working mathematician , volume 5 of Graduate Texts in Mathematics.

Counts and end-curves in two-parameter persistence Categories for the working mathematician , volume 5 of Graduate Texts in Mathematics

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-15T20:28:29.654588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:28:29.654588Z digest=sha256:73682bdb79890cc21c63c85b03fc08f9f95db07b2a5bab3ea4b473783ba4b218

Observation 581624be-ed2d-4d14-8a3c-bf0a9e0c5f8d · outbound

This paper cites Edit distance and persistence diagrams over lattices.

Counts and end-curves in two-parameter persistence Edit distance and persistence diagrams over lattices

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.056923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.734729Z digest=sha256:c911d561e6738f17925c8f9c7aaa7485961ba81babea80708ebb559a9139808a

Observation 6b9e0320-3cc4-46bb-a599-f21fea00d256 · outbound

This paper cites Resolutions and duality for monomial ideals.

Counts and end-curves in two-parameter persistence Resolutions and duality for monomial ideals

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:31.007933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.782941Z digest=sha256:3237bfedfec6eacd9891f6326fc3716bb6d25647c5fd1d51952f21c684d0e6ad

Observation 34a4eca6-eeee-4c8c-8d13-4d4ac06f466a · outbound

This paper cites Homological algebra of modules over posets, 2020.

Counts and end-curves in two-parameter persistence Homological algebra of modules over posets, 2020

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-15T20:28:29.787242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:28:29.787242Z digest=sha256:e0480723fa63969764ece8a07785e8b744ea6494d1e83d50f9f7a5276635559f

Observation 9931dac2-e47e-4e77-af43-af5fc2123e41 · outbound

This paper cites Stratifications of real vector spaces from constructible sheaves with conical microsupport.

Counts and end-curves in two-parameter persistence Stratifications of real vector spaces from constructible sheaves with conical microsupport

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.984441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.791431Z digest=sha256:10b086d10493198b992fd6401ea8dff2f1cff9715ddeec41aa16ccae5fc996ba

Observation 5c90fddc-bb52-43dd-b067-1bd7b9b34957 · outbound

This paper cites Combinatorial commutative algebra, volume 227 of Graduate Texts in Math- ematics.

Counts and end-curves in two-parameter persistence Combinatorial commutative algebra, volume 227 of Graduate Texts in Math- ematics

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.971266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.795687Z digest=sha256:da16fe589fd5323732d2af8a73077214848394da420fd0089ccc8184bc5e4a34

Observation ce817658-d534-41c9-950b-c0384ff0c931 · outbound

This paper cites Output-sensitive computation of generalized persistence diagrams for 2- filtrations, 2023.

Counts and end-curves in two-parameter persistence Output-sensitive computation of generalized persistence diagrams for 2- filtrations, 2023

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.957691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.799220Z digest=sha256:491366eb42934df5be6af9c809ac40f74d7bee540f8f86a778d794e25f654a74

Observation c193ab5a-9c88-41b3-bc72-8e72936d5fdb · outbound

This paper cites Computing Betti Tables and Minimal Presentations of Zero-Dimensional Persistent Homology.

Counts and end-curves in two-parameter persistence Computing Betti Tables and Minimal Presentations of Zero-Dimensional Persistent Homology

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.944040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.803047Z digest=sha256:0d2722d25ad73d4c6521c3119ff13e6998a1afb05180555c772fae07bdb4b4a0

Observation a4cf1874-21aa-446e-8a63-5733fc2c3feb · outbound

This paper cites Rank and span in functional topology.

Counts and end-curves in two-parameter persistence Rank and span in functional topology

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.931561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.807513Z digest=sha256:5477dfab74c199c5b783e6b1ba462519a39ca4b57699666271bc9b7e552fbc90

Observation 7aa23ada-e4dd-403d-aac0-a047837abea4 · outbound

This paper cites an unresolved cited work.

Counts and end-curves in two-parameter persistence Unresolved cited work

Reference 85

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:28:30.917876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.811793Z digest=sha256:51524596f36491a1d4de86cf09b3b5bb67087a5ebaad05cf2d64ec632568ba53

Observation 9b4f707c-cf7c-4f0e-a99e-20d4e6426a15 · outbound

This paper cites Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds.

Counts and end-curves in two-parameter persistence Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.895447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.815354Z digest=sha256:261025585919130fe9ee3248c51fd1da28a3a0b89c2861ff90d72de93e165d8a

Observation 751bfc77-9d48-44d4-9a88-806102e93d4f · outbound

This paper cites On the stability of multigraded betti numbers and hilbert functions.

Counts and end-curves in two-parameter persistence On the stability of multigraded betti numbers and hilbert functions

Reference 87

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.802198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.818986Z digest=sha256:a2bce0601097749ac32ac626d5890e699b966468fbbecc2c286cc6cff42d2b07

Observation ba02efbb-630f-45a3-8647-d9c708f1a562 · outbound

This paper cites an unresolved cited work.

Counts and end-curves in two-parameter persistence Unresolved cited work

Reference 88

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:28:30.737160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.823297Z digest=sha256:3dcf5219c6f187ea062ad0f0cf05a66fe210ce96dda5201034a88e32ce199f60

Observation 647e68b0-319b-449f-b98a-aac87581100c · outbound

This paper cites Generalized persistence diagrams.

Counts and end-curves in two-parameter persistence Generalized persistence diagrams

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.723530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.827397Z digest=sha256:a17704907ac848f1db5aaf49df5db3522eddf3dac7be828357d9c03713f7dc59

Observation 8dfb78e9-2a1d-4079-8b9a-2aedf428efe7 · outbound

This paper cites Topological persistence in geometry and analysis, volume 74.

Counts and end-curves in two-parameter persistence Topological persistence in geometry and analysis, volume 74

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.710058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.831684Z digest=sha256:81ef56a6de097bdf5daa36201c509260fcba8594d461e9464c6b79a117334c22

Observation 688dd8a8-3f84-4db8-a8de-601446421ce2 · outbound

This paper cites Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules.

Counts and end-curves in two-parameter persistence Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.695681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.835923Z digest=sha256:725fe0fc74da2088036bad4250ea2bf822b0cea8ad74c90d4300bc3155129832

Observation 25288a77-7609-4643-addc-6660727d933a · outbound

This paper cites Single-cell topological rna-seq analysis reveals insights into cellular differentiation and development.

Counts and end-curves in two-parameter persistence Single-cell topological rna-seq analysis reveals insights into cellular differentiation and development

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.681167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.840160Z digest=sha256:364f30ee8fac37bd5aac31edf8ecec9846ec4c0e97bfac5f79354466ebabe71a

Observation 64f30f33-2430-4ea3-b855-b9c35a38b87c · outbound

This paper cites Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology.

Counts and end-curves in two-parameter persistence Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.664839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.844052Z digest=sha256:102a918d5633a3a7bea620eb6363241e9aa0a92b97d8a414c7e6cce107c0c9bc

Observation d207eb60-6db0-4b52-a8b7-4ff0a817a1dd · outbound

This paper cites Learnable latent embeddings for joint be- havioural and neural analysis.

Counts and end-curves in two-parameter persistence Learnable latent embeddings for joint be- havioural and neural analysis

Reference 94

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.549642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.848029Z digest=sha256:2d84267d3f72b3c9fdd01ce155d3a094c38dc3ce1fe2c6a273a3c5c9dccc7022

Observation c2de88e2-733e-45f8-a077-665ddf70362c · outbound

This paper cites On the action spectrum for closed symplectically aspherical manifolds.

Counts and end-curves in two-parameter persistence On the action spectrum for closed symplectically aspherical manifolds

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.534848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.852278Z digest=sha256:91648cc99a3a6e9aa2a55553a9af52ac511c17c78f62606f0bd6f32109630b48

Observation e8c8360c-5739-4379-bc70-3fa696b6f8d7 · outbound

This paper cites Fractal dimension and the persistent homology of random geometric complexes.

Counts and end-curves in two-parameter persistence Fractal dimension and the persistent homology of random geometric complexes

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.520429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.856416Z digest=sha256:e17be4d803ec3067801f5420293885f8bd9424a655062beee0cbbbbf4ca975af

Observation 6e5b008f-3ab8-4d79-ad0c-d8f01177c93e · outbound

This paper cites Multi- dimensional persistence and noise.

Counts and end-curves in two-parameter persistence Multi- dimensional persistence and noise

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.506451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.860234Z digest=sha256:8ce5d61e87a63ad01bb23186faff25961b7123f5bffa6e387a5e0c3178f98ad8

Observation 89246c2b-5484-448b-8ede-f7e4e51c9ced · outbound

This paper cites On the Hofer-Zehnder conjecture.

Counts and end-curves in two-parameter persistence On the Hofer-Zehnder conjecture

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-15T20:28:29.864415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:28:29.864415Z digest=sha256:96c2147d07302aaf2f249460135513cc56e3423cea462ac618d10f1cd296182f

Observation 0d8340ac-231e-4a56-bf9c-509b6eba8066 · outbound

This paper cites Linear representations of partially ordered sets and vector space categories, volume 4 of Algebra, Logic and Applications.

Counts and end-curves in two-parameter persistence Linear representations of partially ordered sets and vector space categories, volume 4 of Algebra, Logic and Applications

Reference 99

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.484517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.925060Z digest=sha256:3febaf674f74c1c9fe04a9eb90125b6e1510b44d0217cb69fb9f7225e4268f54

Observation 073915d2-1c65-4454-975e-b4d44eb61cfb · outbound

This paper cites Global analysis and economics.

Counts and end-curves in two-parameter persistence Global analysis and economics

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:28:30.437416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:28:29.972551Z digest=sha256:355c6384f86463a768589bd0f55483d5e9dd045ffad6b0582c04c43191e28b0e

Pith citing papers

Observation 8436f0a5-9d24-4f6b-b7ff-485dc86c6a82 · inbound

Stabilization of the Spread-Global Dimension cites this paper.

Stabilization of the Spread-Global Dimension Counts and end-curves in two-parameter persistence

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T11:47:49.716088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:47:49.716088Z digest=sha256:46acb8dac7cb53a1229f515ebb63c3e0f454f7cc7b6c69064bba048ad954aa5e

Observation 4305db61-a2e0-4bb7-be75-c8cd7ef8e75b · inbound

An Algebraic Introduction to Persistence cites this paper.

An Algebraic Introduction to Persistence Counts and end-curves in two-parameter persistence

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-05-11T05:45:57.321171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-10T17:58:09.021250Z digest=sha256:5183bc2aac117a4813669319a6f0ea8f85c3fd6312e2f318e2c34b00cadb32dc

Observation 12ed1e66-1ee6-4d14-a651-7358abbf76e8 · inbound

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

The fiber of multiparameter persistent homology for simplicial complexes Counts and end-curves in two-parameter persistence

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T20:17:31.071757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:17:31.071757Z digest=sha256:32c02345dca505f7dcf7934e60ebb03be23fe9eb7632f2e6836e2f92a085b44d