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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:36:37.013719Z digest=sha256:577fc8cf7806ae454b6c2c38f966e328494cafe1fc34705ca46325877ee9fcfa

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

source=pdf_text observed=2026-08-06T22:36:37.065507Z digest=sha256:6bee8b325517cc8990c71a6c09d7c097416bbdbbf51861c96d2d5e8e5002e4c1

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

source=pdf_text observed=2026-08-06T22:36:37.181213Z digest=sha256:5b343bbedc0cea1c451c2a135bfd8bd2c6b3687c45de397ada56f40dd536469d

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

source=pdf_text observed=2026-08-06T22:36:37.233802Z digest=sha256:28b4c629519fb0136d229020dd4bf7a946380b7bbfce4b84276250008240fe72

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

source=pdf_text observed=2026-08-06T22:36:37.320546Z digest=sha256:5d3bd124158d0b571ad0d4c80859be61e3effa9973a1ab3e45a3f85573856de9

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=sha256:0f558e832e37445090f542ece00fdd81bcd27f07cee96116f7ebfb84809f7562

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

source=pdf_text observed=2026-08-06T22:36:37.483052Z digest=sha256:312152f31cbdd375b950c982354b1a51ad3c17a3b6fa062d962f25858ac52375

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=sha256:5bea3d6312877f2d36316aacc2f434dd3cdff58e50b6bd85757729ae15c220b1

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

source=pdf_text observed=2026-08-06T22:36:37.578400Z digest=sha256:9276f4ed76829eee18fe2571355f81bb4556ee73b778fe2dc10dd38557f56556

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

source=pdf_text observed=2026-08-06T22:36:37.682528Z digest=sha256:2e0e9c62686205a2cc95a341b424b907bb16e45be49f7e687c19f2f231ffd5c5

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

source=pdf_text observed=2026-08-06T22:36:37.758437Z digest=sha256:e305d7f91a5b134bc3a2d68fb7823772da509ecbeba56b904cb5ce74aaf1d767

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

source=pdf_text observed=2026-08-06T22:36:37.845347Z digest=sha256:5631fc4c9c58ad7fc04f28e1c0ba1f13eebfb9a4224e1b3ba4e4a306b9dd43e4

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

source=pdf_text observed=2026-08-06T22:36:37.929240Z digest=sha256:08ecf6c1f89c25b622bbbb511792d5b5b0519d19f6adb568682d7a015203fd2a

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

source=pdf_text observed=2026-08-06T22:36:38.011103Z digest=sha256:d090830a4cc59d4361e3981b92a34fc186c0b4166a702aaf2adb22cb4176502e

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

source=pdf_text observed=2026-08-06T22:36:38.132429Z digest=sha256:40f9d0179698042ddd62af1fe6a512b801fec5d2585ad0b7c17b5ff6c98da87c

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

source=pdf_text observed=2026-08-06T22:36:38.191278Z digest=sha256:e1e55856aa8b4228958a38bf1c7df7bf92eefea4ced56f0e9ec79cd20d613fbc

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

source=pdf_text observed=2026-08-06T22:36:38.253134Z digest=sha256:f93e3c777d8ad321e227f3688bf6c6fc4e440002afa40d83c8303f7c80857936

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

source=pdf_text observed=2026-08-06T22:36:38.337921Z digest=sha256:dca629b5679029fb1190fcd6979bc17dd0b87ed1f3e649d454ef473292553120

Pith citing papers

No inbound Pith citation observations are available.