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Paper Citation Record · LEDGER

On preservation of relative resolutions for poset representations

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.537924Z digest=sha256:b7761395fec0bdc62c6d2942093cbffae597b646e05798b439b9787ed697f4d5

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.617753Z digest=sha256:39c5af75e91a972858224f83dc48eecd186896af5a84e67bfca36304dcc2cfa3

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.659307Z digest=sha256:68967697288190166c6b19caea65dcaea93ba103015e9f8e8e1e923b210b5ee9

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.782516Z digest=sha256:c3286f03031373c37c5f6f3aa7f0845badf1bca36edcf2aa13ebc7b9a38c7717

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.892649Z digest=sha256:1cdc6771195f316f408e870a4765d3368159c62e7fa7799396641006a7b9d08b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.013406Z digest=sha256:24a7704d9134d460b107d00b38e5b878a53ae86bb6e05e4b4f7c280ebc67bc2b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.114177Z digest=sha256:46bab6b9f60bca2e840a487d044390dc46e237b93125df931a31381a5d5d2cb7

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.185788Z digest=sha256:6e6ffbe905a3453c3de2d1f89d80c7ffbd4d61579fdc874a999fad34b0133623

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:c95a1d54551858489c7f850ee5322e3e1c59a6ca017061b9ea220572573bb2b7

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.342434Z digest=sha256:3e97ce726a102fc1990e009d8ef165d403bc26a5f23a5ac847a9e8c82f76055e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.428710Z digest=sha256:c8b4488d527822cf054d82156adc36d6aa01d202f7f2f109bf409c9058d1c614

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.503843Z digest=sha256:3d260b2ca7fafa1b5cb210425c864876d62b5104e0ab3d7ed4e465b36c27b0ef

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.569381Z digest=sha256:f6722d777b101e3d73d129e6db3ae635521539e7e1f9ec8d864df80862794ccb

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.672495Z digest=sha256:780a3fa7bccdcec1bf33bb7d2f2971d223085ea0b2d87b5add5a759d8ea1f236

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.789711Z digest=sha256:735d1cc470f2abf3792fceeef0aabd6db95bcfef4dd79dbf2a6f02354674ae15

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.906373Z digest=sha256:a9c2e677430c04c97ab2925978fccdd45ca9647ec8e78553b7b758a6f16c1730

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.002124Z digest=sha256:007cbbd3f859949e5d5f8633a9753b03dcbf51e5b8f758c5211da59675f2b636

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.132962Z digest=sha256:1a1a47f93165451080aeea4d49a36e9e92909af5cb15af7e90a17d5aa4e89dcf

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.215909Z digest=sha256:f1164f8448830265912029d70690967dfb134ed633fc0af7c8e06041e9f4c83b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.334203Z digest=sha256:ebd4fdeccd0ef8a436e0aed94e3a0c5ea76d9f94a82bca3481fa903c928f2fea

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:d842fefacbd05a8abf35a265269840c2fc3cbbd799909690f8e1b18db5408717

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.547826Z digest=sha256:8ef478ccf154271ce054ba36183be02ff152ca39577d12f984524265072695a2

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.644647Z digest=sha256:02552a9a7b84ffa03e99fbcf6931da5e706ba135d54e4df75d0b35e219ed6b11

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=sha256:73048480c2350f918714c74e13a3957a0280f43d6f3a454449e6033c2c6de94b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.868834Z digest=sha256:d4541b91395daa7c50259ac3d661baacce0d1902170994b1e5d8dff357ad58c1

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.993748Z digest=sha256:1c392d81f1763e91a119478674ca0d0ddf2dac0f5f7c8ec7aa348016b64b9710

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:24.095724Z digest=sha256:592bba5d6d6e116fc68ef92f8879d2734313d214ea17f59cdc0c0f1ed743bd56

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=sha256:6aeca719a9a1499169be8ce46cd745dcb4e7099442733d67b765a6bb40899042

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=sha256:9ff91105340e21c41a0cef5ee09efe265bd1298e2323f3d62c7b1a14b67be82f

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T22:44:24.439317Z digest=sha256:54b686a17bc760d0c0147e7e122a528ca1ef5e05508278692226697de77e5e16

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:c1feb6552b417b42e2182090e0e0048ac48ac41c1cf664148c0fb657d23049ce

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-05-10T17:58:09.021250Z digest=sha256:0757cf0a7be0b1b6493a24211dbedddfeac13ed1ff65dd16a903a69c33ec2b6c