Pith. sign in

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.537924Z digest=sha256:bebb095b9276d5ee80cd89ca941c8fc11b314cf2fb1428dfcc73fcbe6f39fc2f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.617753Z digest=sha256:edca7fe12cfd45401c5f2cf6cf792e19b16c00200e65851fecee8ca7da6ca4f3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.659307Z digest=sha256:10aa9a86510eace3711c5d17fe86344a65f244bd9918a962db6721d8e5328b3d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.782516Z digest=sha256:a9feed8902d4cedc022ca16fe42969213d2ada68f8da284e4cd562368b1a3a77

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.892649Z digest=sha256:2ae7f582a386a2965857c2d80abefa09076f0a683cc69e2393062f834f851546

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.013406Z digest=sha256:42ad8cc1c6efee676c0fa5b4a9bffff4cc743c87de89af80f56067d7bba12483

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.114177Z digest=sha256:fbbf31e4d4fd5cdddbf6536a7349abc0e13caf5d1a56a7179efcb44616df2923

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.185788Z digest=sha256:66739c475d70bc97743a81a245976a7ef1d94718dc512c29e31578c30991066e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.342434Z digest=sha256:24ddff015c589f0a422e52b58a59884e8206a578b196cf1120275da6d2ab8962

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.428710Z digest=sha256:907ddc9fd548409bd592ee333ee17a3fe98ca4c64a27191280ba85888af80b57

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.503843Z digest=sha256:fa2676fe68e708ac8f99744623aad7c826c0bbbef80cba8317458835fe98311d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.569381Z digest=sha256:43147a511516f3020268a933dcf173767bee5b198ea83ed8616afa607cb68b5e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.672495Z digest=sha256:becb9ccacad8fdef37e0f530f95a3bd01b6a58aeec40c2df0ef5c596366b4b06

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.789711Z digest=sha256:2926153b38c4adedd2ac1ba0dd91a622de9453671ca20e7c88ba0159537688a8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.906373Z digest=sha256:e7eb110681cd3dccf168b7f570efd2b76785795ccd070ed8b35a803166f0fa75

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.002124Z digest=sha256:2c873917043adf95edfbb473b433ec5dd0105681d2f512ba94b25e7be3763103

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.132962Z digest=sha256:8f6e2e5a6e23060bb9ab3c983d5f1c30a18d8ad4dc921718b1cd3114594d5124

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.215909Z digest=sha256:4768111e73e3d8f4db844847eccfbbe21cb8f9d98676f27827d3ec53ffe7db9e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.334203Z digest=sha256:ffaae7f5c87ee818c93b7a987912e29470836eeafb2e22c6f14f5db3bcea0fde

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.547826Z digest=sha256:42fbf23c925aa8f2901f2380af4960f5e28b0215cb686d00be0685036442dc77

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.644647Z digest=sha256:d4c2f9f2032687c24988c55ab29aa587ec7531355a64ae137a0fe1d43bec61ae

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.868834Z digest=sha256:14f5a17abd768af0047eb8ae2edebde872f27f07eb1177597865a100e19e8b39

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.993748Z digest=sha256:9441d21e4b0a3b91f5f6647f573ce378e672a91f70e256ad353359380fa573bd

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:24.095724Z digest=sha256:22d575f30a7c6ec72647f57c764702e0b9bd6ad6b491b72040806c50183fd890

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:44:24.439317Z digest=sha256:e09b33b23335e3a916512b4c7a23d8c12d7569101cd0087fbefd1526029758da

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-10T17:58:09.021250Z digest=sha256:2e7e09311643d71bb91d56e15311fe1446cb024fcb46fd0c50045eeebcbfd893