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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=sha256:6e7697368bc32725df6ae23decbf371af245f4d6eb59646a115ef0d2149b47f2

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:a31ed423c8b8552aafde3badb5d73bf8a7acc390073cc9a98af1c8f2ad4af760

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:b12057048489edb0f1911738bcba3cc10ec81acf13950ba3e133e01a71f04199

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:bd536110cdd317d5abef28edad340da975427ccb223208d4485dff09769fe0f0

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:e099178d77e0566d95bb5340016997e2e1742c61a23845cff22abeba9a8c0efa

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=sha256:8e9c1253cbad1b2eb61bdb6b3ffabe935eb39fd8340481d32e11c050d96d9616

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=sha256:82b2448421bbb6cfa6a4f6dcd46caa7ef485e33dbfa1f0625db59c941bba08a0

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=sha256:681a487b13a18290f06a2d7380cb1a61f7dc4998ff014c483156d4ee2ab86432

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:e632a9c65fac9c90120a301bcf43bf547979127d155e84ee00ad7112914ed67e

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:c975521915929177d41132653547f2f42926c3efef654883edcd0601aa1801e6

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=sha256:6b01ef3ad38bc8b2b8f094be061cd94106630ec30b616f27b44648896d79b1b4

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:cbd0c7a9fc2272ccc33e01886dd6c25d9590c060e33f0b3aa45fd0c127c047ef

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=sha256:9edd5e72d38e051648efa6c308020bc8d965e0af2909dc097ee8cfb24376624e

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:ad0f96302f89371eac1bd70bd11327294c2a51ebbdbc293d4b336c33a2206f86

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=sha256:867662f3781c710fb06a7072e4f5cd5b6ad8d01cdbb3a08732da30c588df2f10

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=sha256:41fe974d3e923b10c407131bcd32c605455fdb046a740f0afb71664b1c3ffeec

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:f86561f20d761123e6443ed3a0ba7e86ddae8ec02cb1e064b6bfb53d73685640

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:b51ea4018890cd33d4bdc2daddc51b2b8cc39caea27a753d9d85619c1f7a8bc9

Pith citing papers

No inbound Pith citation observations are available.