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Paper Citation Record · LEDGER

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case

As of 19 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2506.21372.

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

pith.paper-citation-record.v1
2506.21372 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:36:38.337921Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7fe3b5f3-226b-4bcf-9855-99e08218b1f8 · outbound

This paper cites Adachi, O.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Adachi, O

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:41.040382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.013719Z digest=sha256:ee4c6a3b986e8847db203da95482d006fefa8d13f68798bebf3c03f1cb4259dd

Observation 130e87f7-f2f7-46e3-8267-a9f53a012df9 · outbound

This paper cites Assem, D.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Assem, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:40.713495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.065507Z digest=sha256:066faaba9e37b723242988e4619a52ffa0b50265e202b02765a4ac503773f4e9

Observation d72ba57b-4195-43ea-aad7-1637f0f76e6c · outbound

This paper cites Auslander, and S.O.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Auslander, and S.O

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:40.437313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.181213Z digest=sha256:3a4e8e922afa2747750ce155bc3cb0d8feeb6ec5ae2d07e8b1d719a8535b1289

Observation 122a6e9c-d79f-4675-9e61-dd9770934c5d · outbound

This paper cites Bondal, Representations of associative algebras and coherent sheaves , Math.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Bondal, Representations of associative algebras and coherent sheaves , Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:40.259168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.233802Z digest=sha256:fd72c4097b370e43bb37d450e34e962b8893fd0388548999a091727f67a55efb

Observation 380adcc6-7ad9-42db-a599-094a437b10ca · outbound

This paper cites Br¨ ustle, D.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Br¨ ustle, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:40.100558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.320546Z digest=sha256:a651134a1bbc1e0ac75f74ffcae2515d49c45e6917d64f0125c4ebf84c37eaaf

Observation 9ac78faf-f8fb-43f9-8376-daf6806b2050 · outbound

This paper cites Mutating ordered $\tau$-rigid modules with applications to Nakayama algebras.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Mutating ordered $\tau$-rigid modules with applications to Nakayama algebras

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T22:36:37.390574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:36:37.390574Z digest=sha256:9540b4b0851fa0edafff246630126f0593a63dfcc440343dec4bfc1e158a7c11

Observation 57fa25f0-9028-4d59-8bef-3db3a944fc00 · outbound

This paper cites an unresolved cited work.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:36:39.893174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.483052Z digest=sha256:1d0ec7f4c86ad55b0b08cf592c6f7d738f923abddab35bca39bf3dcc2aedd8f3

Observation 3cf4625c-ee6b-49b2-9459-f6386f648feb · outbound

This paper cites Mutation of {\tau}-exceptional pairs and sequences.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Mutation of {\tau}-exceptional pairs and sequences

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T22:36:37.539036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:36:37.539036Z digest=sha256:04845359850689a3365d1860723657b57ea47b38b98d6e5a371cd8a3877b9f9b

Observation 23a8864f-4f5a-4e48-ba78-37ee51d26fdf · outbound

This paper cites an unresolved cited work.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:36:39.771321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.578400Z digest=sha256:8dc1b7226f0e182fef992b336fef9b1b9070a1e1bcd8a90cfc785200c1fdc198

Observation 74b225d1-3032-4ba9-be58-78367e81859c · outbound

This paper cites an unresolved cited work.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:36:39.577714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.682528Z digest=sha256:5c783cc50cca51eff8ba78e8ab52f23c9b35b53a8559a58667a68fac5a0b54f5

Observation 3f8c9902-efd1-4193-b125-1d29394758f9 · outbound

This paper cites Crawley-Boevey, Exceptional sequences of representations of quivers , Representations of algebras (Ottawa, ON, 1992), CMS Conf.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Crawley-Boevey, Exceptional sequences of representations of quivers , Representations of algebras (Ottawa, ON, 1992), CMS Conf

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:39.475961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.758437Z digest=sha256:9319e4c0e8df17dce0e448a4c9bb244a47fea66bea12e5b9748fedd84ef131d5

Observation cf967bf2-225d-454c-b36f-b36c26582d65 · outbound

This paper cites Demonet, O.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Demonet, O

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:39.293904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.845347Z digest=sha256:bae1410deafe69f37976b021643a4eda9dfd4136a47f35513f5c24e3f697a909

Observation 3dbf3e2d-d47d-4270-b28a-7aa1dbba3eb4 · outbound

This paper cites Demonet, O.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Demonet, O

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:39.171204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:37.929240Z digest=sha256:bd8a11d3d649cc09842a981ab410387942dd27d65fefc392cbaf56fdf8447490

Observation 718833f6-0920-4a82-8a76-dff5cc485213 · outbound

This paper cites an unresolved cited work.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:36:38.984009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:38.011103Z digest=sha256:bfd8143271cd62b6899796386bf2d84f3943a4980c3b735d6b6ef4b2feec62ed

Observation bb43db5e-8961-4a96-8d4d-e887f6fbad8c · outbound

This paper cites Jasso, Reduction of τ -tilting modules and torsion pairs.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Jasso, Reduction of τ -tilting modules and torsion pairs

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:38.850272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:38.132429Z digest=sha256:6c8f59d2616bd90cd28b37e1167c0480cac3b47ca9d3d162ade74a567c0f1f93

Observation abdde3b0-1f72-4471-8f76-26c97eeb8083 · outbound

This paper cites Marks and J.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Marks and J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:36:38.730070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:38.191278Z digest=sha256:f1e89f92b785c5867817509ed05c8a4f2e7725086b5b8413e9ae9ca66c8bd454

Observation 3d72a0ff-cf39-4fdd-a665-f28c481b6429 · outbound

This paper cites an unresolved cited work.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:36:38.611371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:38.253134Z digest=sha256:36dbbe0fb0e42d66ea5c9d8580d0e9cfba4fb267879a60d7e3d0ada6cdc10987

Observation 7d9ef5ee-ea0f-4481-bc8a-e7967efbcb39 · outbound

This paper cites an unresolved cited work.

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:36:38.485518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:36:38.337921Z digest=sha256:7a615890bf05cdab7d7bbabeefe9f7cbe212b7f35043b72e7eb928857d583e99

Pith citing papers

No inbound Pith citation observations are available.