Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T14:06:14.456706Z
Paper Citation Record · LEDGER
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes
As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2501.15756.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
- verified exact14
- verified fuzzy8
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cf957947-d0b0-4b21-9aaa-638c2af6a4b0 · outbound
This paper cites Auslander S.O.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Auslander S.O
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:06:15.153149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8679f617-9072-408f-b910-d208faa2fd2b · outbound
This paper cites Brenner M.C.R.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Brenner M.C.R
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:06:15.139842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b71e3846-c8cd-427e-92aa-020be5dc5fff · outbound
This paper cites Tilting theory and cluster combinatorics.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Tilting theory and cluster combinatorics
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:15.017014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ef22d0b0-7484-4c6a-a225-5d25a52ce626 · outbound
This paper cites Introduction to coherent sheaves on weighted projective lines.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Introduction to coherent sheaves on weighted projective lines
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.860273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5419b05b-8553-4a17-9f5f-e87378808a60 · outbound
This paper cites an unresolved cited work.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Unresolved cited work
Reference 5
- Resolution
- verified exact
- doi, observed 2026-08-10T14:06:14.509938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3790009d-8e5d-4805-8579-cb893c3d1575 · outbound
This paper cites an unresolved cited work.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T14:06:15.126080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6a57b2e5-9a12-41fe-9d34-aebb406ec250 · outbound
This paper cites Cluster algebras and triangulated surfaces. Part I: Cluster complexes.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Cluster algebras and triangulated surfaces. Part I: Cluster complexes
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:06:14.348257Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ee4ed9f-4fb7-4df0-9ff5-17817e0c9744 · outbound
This paper cites Geigle H.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Geigle H
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:06:15.111593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d7e6b042-01ca-4433-aaef-d74a7422547e · outbound
This paper cites an unresolved cited work.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Unresolved cited work
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-10T14:06:14.494107Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8236faa4-5b52-4d8e-8a8d-33d72b7bf058 · outbound
This paper cites Happel Triangulated categories in the representation theory of finite dimension algebras Cambrigde University Press 1988 43 56.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Happel Triangulated categories in the representation theory of finite dimension algebras Cambrigde University Press 1988 43 56
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:06:15.094783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 63db8a97-a881-451c-b2c1-3093ad368946 · outbound
This paper cites Harer The virtual cohomological djoimension of the mapping class group of an orientable surface Invent.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Harer The virtual cohomological djoimension of the mapping class group of an orientable surface Invent
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:06:15.079939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 888ac466-a72b-4e82-a466-451d04bcdcf8 · outbound
This paper cites Hatcher On triangulations of surfaces Topology Appl.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Hatcher On triangulations of surfaces Topology Appl
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:06:15.064317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7f0e101b-d12c-443d-92b5-791587c2770c · outbound
This paper cites Cluster Complexes via Semi-Invariants.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Cluster Complexes via Semi-Invariants
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.825543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 164cb641-271c-46e1-bcef-153bad69801e · outbound
This paper cites Mutation in triangulated categories and rigid Cohen-Macaulay modules.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Mutation in triangulated categories and rigid Cohen-Macaulay modules
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.805069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 78e14c95-5feb-46b8-9097-df0ec8abfb0f · outbound
This paper cites On triangulated orbit categories.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes On triangulated orbit categories
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:06:14.385331Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7af517e4-7ac8-4b9a-8f45-0b8592996592 · outbound
This paper cites On cluster theory and quantum dilogarithm identities.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes On cluster theory and quantum dilogarithm identities
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:06:14.390146Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3698cdcf-7b4c-476e-a01a-7184f8b2c262 · outbound
This paper cites Cluster algebras and derived categories.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Cluster algebras and derived categories
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:06:14.394304Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation faca2d16-9620-4d48-aead-f2f3b0857a73 · outbound
This paper cites Cluster-tilted algebras are Gorenstein and stably Calabi-Yau.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.741018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a3118d52-f216-49a3-a39c-669d8212c018 · outbound
This paper cites Exchange graphs and Ext quivers.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Exchange graphs and Ext quivers
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.720031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9f978aeb-def0-4c46-afa9-b09aa39debd4 · outbound
This paper cites Cluster exchange groupoids and framed quadratic differentials.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Cluster exchange groupoids and framed quadratic differentials
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.700329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 568aabd3-d5ab-497c-8e00-9105d3f37979 · outbound
This paper cites Lenzing I.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Lenzing I
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:06:15.048721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 527eb73f-5adf-4da8-bd81-7adad011ed43 · outbound
This paper cites Cluster Algebras and Scattering Diagrams, Part II. Cluster Patterns and Scattering Diagrams.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Cluster Algebras and Scattering Diagrams, Part II. Cluster Patterns and Scattering Diagrams
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.680220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ab78d6b0-5ee8-4f8e-a953-b1c561cbe187 · outbound
This paper cites On tropical dualities in cluster algebras.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes On tropical dualities in cluster algebras
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.658874Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f76f3403-6005-4a35-8b20-31fc962ca0ba · outbound
This paper cites Cluster algebras via cluster categories with infinite-dimensional morphism spaces.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Cluster algebras via cluster categories with infinite-dimensional morphism spaces
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.637483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9adcc080-02b3-4685-ab15-5d30d0bcc87d · outbound
This paper cites Stability conditions and quantum dilogarithm identities for Dynkin quivers.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Stability conditions and quantum dilogarithm identities for Dynkin quivers
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:06:14.430734Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2086b300-878c-4c61-bfbd-fd7a96dedcb1 · outbound
This paper cites C-sortable words as green mutation sequences.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes C-sortable words as green mutation sequences
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.600495Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 51bf293b-cb2e-4dbf-a489-37e30b540c11 · outbound
This paper cites Decorated marked surfaces: spherical twists versus braid twists.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Decorated marked surfaces: spherical twists versus braid twists
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:06:14.439529Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7ff0e55-b71d-495b-b300-b0a4b31f1885 · outbound
This paper cites Moduli spaces of quadratic differentials: Abel-Jacobi map and deformation.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Moduli spaces of quadratic differentials: Abel-Jacobi map and deformation
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:06:14.444084Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 055e2b19-3f2e-4ef5-a1c5-da05a085924e · outbound
This paper cites Qiu Decorated marked surfaces (part B): topological realizations Math.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Qiu Decorated marked surfaces (part B): topological realizations Math
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T14:06:15.033311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5d717ec7-1756-4b8c-aed9-c671f93f9419 · outbound
This paper cites Contractible stability spaces and faithful braid group actions.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Contractible stability spaces and faithful braid group actions
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T14:06:14.452596Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfbe3673-7806-4c74-a5b4-f21b510ad507 · outbound
This paper cites Cluster categories for marked surfaces: punctured case.
From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes Cluster categories for marked surfaces: punctured case
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:06:14.532189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.