Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:43:15.669766Z
Paper Citation Record · LEDGER
Lower bounds for levels of complexes by resolution dimensions
As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2501.12109.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T18:56:36.652765Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-10T23:40:52.604630Z
Reference resolution
24 of 24 outbound references displayed
- verified exact1
- verified fuzzy17
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3c2ceca8-7176-4c79-b6ea-5d4cece56464 · outbound
This paper cites Aihara; R.
Lower bounds for levels of complexes by resolution dimensions Aihara; R
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:16.056978Z
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.
Observation 0138170c-869e-493f-862d-4bbf58618d14 · outbound
This paper cites Aihara; R.
Lower bounds for levels of complexes by resolution dimensions Aihara; R
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:16.042240Z
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.
Observation 375a2fe0-120f-444a-8f1f-7b9f3c16d260 · outbound
This paper cites Altmann; E.
Lower bounds for levels of complexes by resolution dimensions Altmann; E
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:16.026712Z
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.
Observation ad6a7211-c47c-46c9-9258-8e45f1b2f3ba · outbound
This paper cites Auslander; I.
Lower bounds for levels of complexes by resolution dimensions Auslander; I
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:16.004212Z
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.
Observation dae0ae82-8ad1-439c-9143-3c8acfbab9b3 · outbound
This paper cites an unresolved cited work.
Lower bounds for levels of complexes by resolution dimensions Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:43:15.989196Z
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.
Observation 464675bb-162a-4041-8c63-55e0662d71c0 · outbound
This paper cites A w adalla; T.
Lower bounds for levels of complexes by resolution dimensions A w adalla; T
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.975586Z
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.
Observation 0e6c4725-d723-49b4-acf2-a2a94b7f89b2 · outbound
This paper cites Bondal; M.
Lower bounds for levels of complexes by resolution dimensions Bondal; M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.961372Z
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.
Observation 8aac6fab-93ac-4f51-aacd-1322c3082e68 · outbound
This paper cites Bruns; J.
Lower bounds for levels of complexes by resolution dimensions Bruns; J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.947472Z
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.
Observation db6b978b-468a-4520-aa72-dadc6d5db727 · outbound
This paper cites an unresolved cited work.
Lower bounds for levels of complexes by resolution dimensions Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:43:15.931690Z
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.
Observation 0429c078-6ee7-445f-b8e5-06dacddbfeed · outbound
This paper cites an unresolved cited work.
Lower bounds for levels of complexes by resolution dimensions Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:43:15.911806Z
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.
Observation b96fa840-e144-4f1c-a1b1-f50724b428ea · outbound
This paper cites an unresolved cited work.
Lower bounds for levels of complexes by resolution dimensions Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:43:15.897986Z
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.
Observation 875cade8-50ab-4d0b-8b08-681e5c576a2a · outbound
This paper cites Christensen; A.
Lower bounds for levels of complexes by resolution dimensions Christensen; A
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.883787Z
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.
Observation dea6b081-720d-4e38-a33d-86ee7c58e5f2 · outbound
This paper cites Christensen; S.
Lower bounds for levels of complexes by resolution dimensions Christensen; S
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.870427Z
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.
Observation e4a598ed-2e1e-4cc2-8602-00f89f29c3a5 · outbound
This paper cites an unresolved cited work.
Lower bounds for levels of complexes by resolution dimensions Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:43:15.856475Z
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.
Observation a21ed22b-a655-4e91-b55f-31612c370c2b · outbound
This paper cites an unresolved cited work.
Lower bounds for levels of complexes by resolution dimensions Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:43:15.842747Z
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.
Observation 90bfe00f-50c3-47d6-823b-fcc34359895c · outbound
This paper cites Happel , Selforthogonal modules, Abelian groups and modules, Math.
Lower bounds for levels of complexes by resolution dimensions Happel , Selforthogonal modules, Abelian groups and modules, Math
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.829222Z
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.
Observation 7dc08cf0-8a4d-4da4-9893-f6a651d109ce · outbound
This paper cites Krause; D.
Lower bounds for levels of complexes by resolution dimensions Krause; D
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.815197Z
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.
Observation a0e434c1-8eb5-4969-b77a-dce5137b1b42 · outbound
This paper cites On the vanishing of Ext modules over a local unique factorization domain with an isolated singularity.
Lower bounds for levels of complexes by resolution dimensions On the vanishing of Ext modules over a local unique factorization domain with an isolated singularity
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T17:43:15.711837Z
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.
Observation c3324a8d-7a5a-4409-b036-b53e21ca6aba · outbound
This paper cites Matsui; R.
Lower bounds for levels of complexes by resolution dimensions Matsui; R
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.801337Z
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.
Observation 8eb89092-b576-4ee9-8343-9c70bac1a6c4 · outbound
This paper cites Rouquier , Dimensions of triangulated categories, J.
Lower bounds for levels of complexes by resolution dimensions Rouquier , Dimensions of triangulated categories, J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.786204Z
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.
Observation 5c5b244c-e97e-4411-b9c8-d0cc1f87edfa · outbound
This paper cites Takahashi , Classifying thick subcategories of the stable category of Cohen–Macaulay modules, Adv.
Lower bounds for levels of complexes by resolution dimensions Takahashi , Classifying thick subcategories of the stable category of Cohen–Macaulay modules, Adv
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.771062Z
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.
Observation e66b069b-c01f-414f-b30a-9298794c6246 · outbound
This paper cites White , Gorenstein projective dimension with respect to a semidua lizing module, J.
Lower bounds for levels of complexes by resolution dimensions White , Gorenstein projective dimension with respect to a semidua lizing module, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.756766Z
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.
Observation 90d4a8c8-a0bc-48ae-be81-aa260bca4758 · outbound
This paper cites Xu , Flat covers of modules, Lect.
Lower bounds for levels of complexes by resolution dimensions Xu , Flat covers of modules, Lect
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.741371Z
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.
Observation 42a20630-c005-492b-ae41-625a8136bbaf · outbound
This paper cites Yassemi, G-dimension, Math.
Lower bounds for levels of complexes by resolution dimensions Yassemi, G-dimension, Math
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:43:15.726839Z
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.
Pith citing papers
Observation 54827711-38dc-47da-8857-f0109f835cfa · inbound
A characterization of Cohen-Macaulay rings in terms of levels of perfect complexes cites this paper.
A characterization of Cohen-Macaulay rings in terms of levels of perfect complexes Lower bounds for levels of complexes by resolution dimensions
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T23:40:52.607243Z
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.