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Paper Citation Record · LEDGER

On preservation of relative resolutions for poset representations

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.537924Z digest=sha256:4f5b9eb2ade5e05e5135f69c25e5b7f3cdce4b650ba39d5884fbeacafb671c16

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.617753Z digest=sha256:649def472f7e478e268200f99f1600dcd612771fd2423342fcb95d92c5e7de62

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.659307Z digest=sha256:d9203956d39d825877c78224f2a31120d5b713c29c0edfb94c4607d849cb7712

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.782516Z digest=sha256:1d916b1b8b954a8d94a705a0dbcee08c9556974fe7dc400355b6925808e09cb7

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:21.892649Z digest=sha256:36ccc971e7f6b02a9c407367d0aece3bf1517ed3e555eac39f63d53f9ae9ab4a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.013406Z digest=sha256:15eeee73c06c6f38f0c1ea1a5f9bed578861f3c852f64b7f8b0c609a685215dc

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.114177Z digest=sha256:466b17b5e9d9611e919f9fa965aea40eaec1119b3f235f2d8e3add035ba88abb

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.185788Z digest=sha256:7fef5e7adb413798773054cb79a8058836fc5690c1864c3ebd1e11b8b028865c

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=sha256:5ef96eea575a794df95a22b24c385bbe3e0ad8c81b651055e59a557268647f5a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.342434Z digest=sha256:8f37a925d4282762afa44e1c92fbe3f6016d41ceb7caea2eecd3ede192cc04eb

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.428710Z digest=sha256:596cd0238a7644bb401f4ba039c86d82c668301931f05d2019e1982ea5e01c46

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.503843Z digest=sha256:75a23d94e7d0060d1cb07e89abd463d1c66d72e3d474a7ac8030531e81719e31

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.569381Z digest=sha256:506bdf8af8dd6dbc49df418cb9ecca8cddf90adc63990b890568ebf9b72e781a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.672495Z digest=sha256:2b179a30d37d641ad7219e5c61deb4e0b63509e1ad481b3f1fd8ecaa2c419b5f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.789711Z digest=sha256:b121817737e5495900364a60d2b135022661fc1172ec1377fbed3da560422d97

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:22.906373Z digest=sha256:089b1162d2ba45acfbf60a03c810d8166c337bbf0842b5a489fa21168fb1b167

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.002124Z digest=sha256:5e1ba106bf21bfb86757e71ae93fc1ea99bcbd06a3a69bc373bb9362aa685bc4

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.132962Z digest=sha256:290e28178915c5d05b69647c8c035bac934da7803b770b41ade503382125f0d4

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.215909Z digest=sha256:3543b05746b4567ae3e749b0109ae83f82ff7ac5a4d3566aca5313f44dcb3f73

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.334203Z digest=sha256:518b6b53c0d155408db4a578a8f79ea9538da911272edda07ad3a6f91262752b

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=sha256:7b8dac436004e91d9c876f0263cb57ed549c2028eb719bca73a06d14be6ad346

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.547826Z digest=sha256:435dd25b274a875f8124d3e07d46deac11eca9373d1e334b2200f98a001cd8b4

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.644647Z digest=sha256:98f9f320ff717d4c97fad8978e1e6e2b809e6735835ad98b74db024b858cc28b

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=sha256:60bf3db53ba29552372fc45a743d7b3073c19520712cdcb1633408438cba1d2c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.868834Z digest=sha256:51088ee51739950c6fc22eb4fe8de07d746936c865a04bdf3e847ad89aefffb5

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:23.993748Z digest=sha256:8edb1e6ab55ce10e0a3eb55fbfef34e38a77d83f7bff01f552cb00c5b5163a2b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:24.095724Z digest=sha256:4ec78897194db9efa24c0e9d8855e72680d799109167dc1c0e37299066a71cc5

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:b29277882b243c238e2d8b3c9c87989865b03b285ab4fb50c5d21875b70ce450

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=sha256:59040544fc4ecaa9190a584d7ab855053eca509c74d494e82fa28c205cc0f80a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T22:44:24.439317Z digest=sha256:27445b9e27cbedb1ef2003c8c9eadc9271a812c94d76e30f69f90d2868f8bc2f

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=sha256:8591ec94b77c4e3c31dbee7acb91507fca2e656ffcb6fe8c3f365b6471c3d3ab

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-10T17:58:09.021250Z digest=sha256:ec989be707819e28c9b96d6e531eee8bdb94fb8196e908b9be86238f9e7f00aa