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Paper Citation Record · LEDGER

On preservation of relative resolutions for poset representations

As of 9 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 2 inbound Pith citation observations for arXiv:2506.21227.

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

pith.paper-citation-record.v1
2506.21227 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:44:24.439317Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:00.599902Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T05:45:57.378179Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy20
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 312b0c2d-c87c-4169-8797-4440a7352c03 · outbound

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

On preservation of relative resolutions for poset representations Escolar, Ken Nakashima, and Michio Yoshiwaki

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:30.137869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.537924Z digest=sha256:85f7738380cf2f92b375287c5ae0de117ee07f495df9d821af3fbaa2dd7df47d

Observation 5315ce2c-99b1-4dd7-8a8f-fef103ffa73f · outbound

This paper cites Escolar, and Shunsuke Tada.

On preservation of relative resolutions for poset representations Escolar, and Shunsuke Tada

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:29.986517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.617753Z digest=sha256:0f1ac04d401d6e1231d9c75db9dd77d27e6c30ad18d7763a8ed42773ace8eaf6

Observation 049ce1dd-20c1-48f2-8ed5-b0822b128562 · outbound

This paper cites Interval replacements of persistence modules.

On preservation of relative resolutions for poset representations Interval replacements of persistence modules

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-06T22:44:25.142072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.659307Z digest=sha256:92033971f1ff7531dc5ab2256591bdea19a9e9390099f3ed460ef45c94ef27c8

Observation fbe7ec76-7a04-44cf-baae-7baad25e4020 · outbound

This paper cites Bipath Persistence as Zigzag Persistence.

On preservation of relative resolutions for poset representations Bipath Persistence as Zigzag Persistence

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:44:24.697494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.782516Z digest=sha256:51c9c413497f951cd2c7a9ce9b12a431051f574b011b2fffc0d7186028ae0c8b

Observation e0ef4b26-57d3-4772-8a96-ee8266090648 · outbound

This paper cites Relative K oszul coresolutions and relative B etti numbers.

On preservation of relative resolutions for poset representations Relative K oszul coresolutions and relative B etti numbers

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:29.731543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.892649Z digest=sha256:081d134ac2439c9aa9303926ad0b95e12404f93199e82d62c4f488bd6e1558ea

Observation c94df496-7a49-4389-9c63-d507463494b8 · outbound

This paper cites Elements of the representation theory of associative algebras: V ol.

On preservation of relative resolutions for poset representations Elements of the representation theory of associative algebras: V ol

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:29.494116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.013406Z digest=sha256:ece41b33d1256241344247562dd3cef9f20d59ca81e4c10d4aa46afc167b1cec

Observation 48a34913-3568-4106-a679-36e04aeb5a8d · outbound

This paper cites Faisceaux pervers.

On preservation of relative resolutions for poset representations Faisceaux pervers

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:29.208635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.114177Z digest=sha256:dc29d05a564c22ae04decde0ffd9e3199cf2362ce4b3f767cf34f1a11e19c063

Observation 492165ec-ecf7-4890-ab22-1ecd883cdad9 · outbound

This paper cites an unresolved cited work.

On preservation of relative resolutions for poset representations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:44:28.904799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.185788Z digest=sha256:a507ef14c45b1ff03b14e67dd3cd7f386392f7d44f84dc9cf617bd8313781004

Observation 48de8ea6-9145-4ac0-afa0-aa3fd53f571e · outbound

This paper cites Exact structures for persistence modules.

On preservation of relative resolutions for poset representations Exact structures for persistence modules

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T22:44:22.268233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:44:22.268233Z digest=sha256:ec6cfbd0b6c7ba7ee0ba97d7378f4b428e2d763039836e23f4804bc58585a955

Observation 2fd0c407-dd16-47a7-8f26-e8eda22d9682 · outbound

This paper cites Computing the interleaving distance is np-hard.

On preservation of relative resolutions for poset representations Computing the interleaving distance is np-hard

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:28.628128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.342434Z digest=sha256:8ab7c4a4a061a8ca1c17d256a082fb65bd424dc76163ae926e3aef36cb35d9e7

Observation 70f49ded-1688-4379-aaf2-fbfedd152b1b · outbound

This paper cites Decomposition of persistence modules.

On preservation of relative resolutions for poset representations Decomposition of persistence modules

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:28.462790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.428710Z digest=sha256:bb0246d3b15ad1e4ae59019d74ec4cdff31ea8da40421e191c41d89b69896da6

Observation d3f0c1d0-5ae0-43a1-b372-7c6d6b03fbd1 · outbound

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

On preservation of relative resolutions for poset representations On the bottleneck stability of rank decompositions of multi-parameter persistence modules

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:28.319247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.503843Z digest=sha256:56272e45d03c7be3f845f5fb5de59f492a47881e8c9546c5c483d4365b8ca2e4

Observation a5af4e93-dc16-436a-a7ac-609cb56b1f50 · outbound

This paper cites an unresolved cited work.

On preservation of relative resolutions for poset representations Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:44:28.104683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.569381Z digest=sha256:aaa7f83ba3f30e60ee93b9920c74aa284f3f88f8d362434aef208d0b1af48f34

Observation f266d995-1aee-4f37-a85d-ed36a7c0512b · outbound

This paper cites Koszul complexes and relative homological algebra of functors over posets.

On preservation of relative resolutions for poset representations Koszul complexes and relative homological algebra of functors over posets

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:27.954847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.672495Z digest=sha256:3fa93084988aa0ee75d6a71d07a50f3ee43bd2bf62830fc8d6a7845a0e20716c

Observation f3c3df87-aa6c-4c8e-832b-93824b45d3a4 · outbound

This paper cites Topological Data Analysis with Applications.

On preservation of relative resolutions for poset representations Topological Data Analysis with Applications

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:27.767756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.789711Z digest=sha256:8a38c507f142ee2a2f2527215e0636a360c66075cf3055a77a4e3f1fe1256ae3

Observation ece6e789-4284-4a35-bd98-e7298cf61e3c · outbound

This paper cites The theory of multidimensional persistence.

On preservation of relative resolutions for poset representations The theory of multidimensional persistence

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:27.537121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.906373Z digest=sha256:c2db330edfb0772ec585915f233ae503cee71347e70a2e4c099f57d059d248af

Observation ff88a32b-fda2-463f-92c6-a0b76e026c62 · outbound

This paper cites Ern\'e, J.

On preservation of relative resolutions for poset representations Ern\'e, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:27.386017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.002124Z digest=sha256:1c35d2979889ee01bd42ae23631078e0f524cda9795573ab6f35171de15a39f0

Observation e2ab4c51-7c63-4779-9c4c-bec0c4f02232 · outbound

This paper cites Topological persistence and simplification.

On preservation of relative resolutions for poset representations Topological persistence and simplification

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:27.207668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.132962Z digest=sha256:384369d785ec995889d28214f2d3ac04faa11993fca661d299eef326b0d33405

Observation 9f4aff5a-dd76-495b-b114-11d7e207dcb6 · outbound

This paper cites Blocks of tame representation type and related algebras , volume 1428 of Lecture Notes in Mathematics.

On preservation of relative resolutions for poset representations Blocks of tame representation type and related algebras , volume 1428 of Lecture Notes in Mathematics

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:27.065294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.215909Z digest=sha256:3c48959afaa900b6b6a834213dfdd38db6f7288e6e414651ac0aeb4ec9acb8c4

Observation 209250a4-a924-42e2-82d6-62c84f1467f9 · outbound

This paper cites an unresolved cited work.

On preservation of relative resolutions for poset representations Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:44:26.826153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.334203Z digest=sha256:a7376ece7e03f0c635eb418487d0d0b65b2a146d6a18ee6c4e21063957e42141

Observation 4fc96794-a12c-4f97-8219-dd96a412e14d · outbound

This paper cites Galois Connections in Persistent Homology.

On preservation of relative resolutions for poset representations Galois Connections in Persistent Homology

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T22:44:23.442436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:44:23.442436Z digest=sha256:eb6936574dc35dede63075b9da93e2ab5f0c9d17efe7d31878b25fbc20183560

Observation 47cc2961-2787-4e79-9718-e4609375f6a4 · outbound

This paper cites Escolar, Kaname Matsue, and Yasumasa Nishiura.

On preservation of relative resolutions for poset representations Escolar, Kaname Matsue, and Yasumasa Nishiura

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:26.585348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.547826Z digest=sha256:475dc9712944890a403eea26dea729f66aec1b90cd6effd9b1acc0ddc7d84d72

Observation 8056db0f-2462-4d85-bf94-7548ab660775 · outbound

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

On preservation of relative resolutions for poset representations Generalized persistence diagrams for persistence modules over posets

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:26.428567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.644647Z digest=sha256:563b7460a9bd2f96ac6b962c0ba39f0a3c2e6c52bfe688faab5ef4da7b48f64a

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

This paper cites Interactive Visualization of 2-D Persistence Modules.

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.

source=arxiv_source observed=2026-08-06T22:44:23.786856Z digest=sha256:9b5bd08c3e95f15c0c0fdd1c07118f386d90f32bd5c15575a07a4bbed231fd74

Observation 5ff7b95f-e14b-4533-bc2e-4b1af703c175 · outbound

This paper cites Categories for the Working Mathematician.

On preservation of relative resolutions for poset representations Categories for the Working Mathematician

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:26.259265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.868834Z digest=sha256:c8679281c1307a8bfc48ac4c5335df6a3a16a579fbd72079d01c01ea8473fea8

Observation ad1b4823-fe27-414e-b3b6-d0946d16f22f · outbound

This paper cites Galois connections and computer science applications.

On preservation of relative resolutions for poset representations Galois connections and computer science applications

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:26.000098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.993748Z digest=sha256:748921d9fad3fc6b0112d9bd6c47e9745fd896e4984033a9c2b118335aecf6aa

Observation 6c8fe760-d186-43b4-a3c0-04dc446cda76 · outbound

This paper cites Topological data analysis of zebrafish patterns.

On preservation of relative resolutions for poset representations Topological data analysis of zebrafish patterns

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:25.743501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:24.095724Z digest=sha256:d8a36973f669051013af16c8ec6c39fe601dd0618973eba1f14355d39700c786

Observation 2475ce64-5360-45a1-85b3-3d1b518cb473 · outbound

This paper cites Category theory in context.

On preservation of relative resolutions for poset representations Category theory in context

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-06T22:44:24.200408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:44:24.200408Z digest=sha256:4e128da8143fd530e8226a8a7688d48f38b628cd075d30875e91a0b2bf83c6cd

Observation 47ec2fdc-65ba-41d1-b129-858f7e8da5e7 · outbound

This paper cites an unresolved cited work.

On preservation of relative resolutions for poset representations Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-06T22:44:24.331898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:44:24.331898Z digest=sha256:19bcabce896f8a20828ec60be688bb77d752dfa40db1a371c3d21bbcb8be6a78

Observation 9d39c06b-14d7-432c-b692-a0fb49fad358 · outbound

This paper cites Computing persistent homology.

On preservation of relative resolutions for poset representations Computing persistent homology

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:44:25.474247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T22:44:24.439317Z digest=sha256:3b9ca1c661445167284ab712a3ce3018260a3a607ae5abbc48585df8251ef013

Pith citing papers

Observation ef3decca-efd7-42ba-a39b-b110e7704111 · inbound

Stabilization of the Spread-Global Dimension cites this paper.

Stabilization of the Spread-Global Dimension On preservation of relative resolutions for poset representations

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T11:47:00.599902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:47:00.599902Z digest=sha256:a796decdf62c1bffdb225ab352acd850097bbc56c0b581794b2424ad232a1dc6

Observation 2eb19f4c-bc75-4afd-923d-e5a75beb84ba · inbound

An Algebraic Introduction to Persistence cites this paper.

An Algebraic Introduction to Persistence On preservation of relative resolutions for poset representations

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-11T05:45:57.380665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-10T17:58:09.021250Z digest=sha256:42b8b8f326e16e2b5237adaa0a93a558e74dfa21b02aac2be94e454e02056e66