Pith. sign in

Paper Citation Record · LEDGER

Real $C$-, $G$-structures and sign-coherence of cluster algebras

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2509.06486.

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

pith.paper-citation-record.v1
2509.06486 v3

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:37:35.914911Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-14T18:53:44.668608Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-14T18:57:50.180917Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact1
  • verified fuzzy23
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0c763dc9-374d-4574-8cf8-c669b4248e2f · outbound

This paper cites Akagi, Z.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Akagi, Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.509993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.759444Z digest=sha256:e2f8d63249a0b857c6be51f0ca31cb9261f5d28e13b3d9363d22b6448a4b688c

Observation 6c8f63a9-b7f6-43bf-a33d-44f2a035f61f · outbound

This paper cites Beineke, T.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Beineke, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.490669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.764838Z digest=sha256:691229888c66ee6d4998fc7fd13a61bc8752fa173d5beacb7033451e37c9b54f

Observation c277edb5-5687-4b71-ad27-8aacfdc40f62 · outbound

This paper cites Barot, C.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Barot, C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.472469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.770121Z digest=sha256:381db20a09cd49e57d93236455e6b8ff66635fe5d086092f03617373017d7634

Observation ace9570e-9136-4db7-a9cb-30ef8339a53f · outbound

This paper cites Br \"u stle, S.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Br \"u stle, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.455757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.775622Z digest=sha256:ba3138556c1b380597f5ecef261b0ad14dabc5129af7a9d15f18f691d298683d

Observation 9af2e1ee-7a39-417d-b93b-226feb3adecd · outbound

This paper cites an unresolved cited work.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:37:36.437599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.781845Z digest=sha256:06d5f8934aa42b4a4e40cb113153ed09ff561d8e85068ac9f7d07948aff100b0

Observation 055ba4ed-5eb4-47a6-8aa3-c306d7f5d2bf · outbound

This paper cites an unresolved cited work.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:37:36.418792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.787037Z digest=sha256:1391d89df17917509b7d56d3db0e1c1ad316ef868a130733f806b4cecac5a0fc

Observation aa7a7a0b-ff1c-4db7-a0e3-48cb5f961a67 · outbound

This paper cites Derksen, J.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Derksen, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.402734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.792851Z digest=sha256:a491a12825136ab1d2fa49b01b684e01d4b66575e665cc23564a5f1cc3b914f6

Observation 669ff240-db96-44f6-ad1a-41c1ee981bf9 · outbound

This paper cites Geometry of $C$-vectors and $C$-Matrices for Mutation-Infinite Quivers.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Geometry of $C$-vectors and $C$-Matrices for Mutation-Infinite Quivers

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T23:37:35.797433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:37:35.797433Z digest=sha256:bbf766ae274f410b95b34517bb0fb975021ca0eb8092576a5f82c3e92846e9b8

Observation 9e57916b-d783-440f-93d0-ea2168f376d0 · outbound

This paper cites Gross, P.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Gross, P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.386086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.802610Z digest=sha256:536ea0e505bdb8c4329bd5d01da1de44d4f5e791d6448d34614855064fd93e55

Observation fad4f686-4e5a-4beb-b5b7-3686d54f72d7 · outbound

This paper cites Fujiwara and Y.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Fujiwara and Y

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.368671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.808026Z digest=sha256:3b6440910e991326a7d7ca5024aaf97f573dd2827f8a6f41ec73aeaffb8bd60d

Observation 24033d94-dc4e-4349-84bb-4fe1608d4131 · outbound

This paper cites Felikson, M.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Felikson, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.352868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.812673Z digest=sha256:2fb951f1682d74fee53c2f113d1f448d1e6a6ac63947078421a381663d3a4136

Observation d01d5bd9-b531-4534-86ca-3c658f654da1 · outbound

This paper cites Felikson, P.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Felikson, P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.335849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.817354Z digest=sha256:1f6acb9e0105499487e96420b006f3c1cbafbbeef14126bc1a4a22b176b08a3c

Observation 82b83524-13dd-4308-beb2-14a7e532b10c · outbound

This paper cites Introduction to Cluster Algebras. Chapters 4-5.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Introduction to Cluster Algebras. Chapters 4-5

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T23:37:35.821976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:37:35.821976Z digest=sha256:922c81d4991475c48dad7b9734edd9c4b4d91428fa1317dd3a0ef7956aa04df6

Observation 5fa4310c-979a-4788-9626-e5a37190acdb · outbound

This paper cites Fomin, A.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Fomin, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.318558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.826797Z digest=sha256:4af59fc44398dc3865468be2ae9f49b6e97762b3a36d8239b97d6d1c16f7bb61

Observation a4bc3909-5563-44c1-bac2-b7dc5acdb740 · outbound

This paper cites Fomin, A.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Fomin, A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.300375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.831291Z digest=sha256:e4984cc51f2b1631b972b0d44f93faf917ad742705eb3ceffaa6e6ea97887b56

Observation 98a92bb8-75d2-4d2e-9fd3-5e70c137e4d1 · outbound

This paper cites Fomin, A.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Fomin, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.282502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.836760Z digest=sha256:0e95a50a17518cbed80d0aaa3dab28cb692a5411e05e7a48861a1d61d650f36d

Observation 881b7334-c987-48c5-b6b2-d5893f3c5b28 · outbound

This paper cites an unresolved cited work.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:37:36.263269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.841769Z digest=sha256:e2463e9e2802f1c67df615c1ebcff235e11d27648213a2611536df9929c4bc76

Observation 734d31ce-3302-4f80-895e-0138647a140f · outbound

This paper cites an unresolved cited work.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:37:36.245467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.846274Z digest=sha256:906f736f6e230fe4172cee5692d25f295195ce43b2f67e4a28c5642ad95f6284

Observation 49721d26-1541-4ed5-9684-f8af30260285 · outbound

This paper cites an unresolved cited work.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:37:36.226542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.851005Z digest=sha256:0c74042c9d99827cc9ec00ae83fc323d364a4f1487903efd4d45e37f347fe5a5

Observation 582fb2c6-7e82-44dd-b691-a92d4cd78468 · outbound

This paper cites An unexpected property of $\mathbf{g}$-vectors for rank 3 mutation-cyclic quivers.

Real $C$-, $G$-structures and sign-coherence of cluster algebras An unexpected property of $\mathbf{g}$-vectors for rank 3 mutation-cyclic quivers

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-04T23:37:35.963428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.856163Z digest=sha256:13b0dc7d8e2b58d43cf14f78f298841126b6d3b481bf3ac4891cd845bf22e8ad

Observation d5983ef5-79ec-4096-8963-0903f8667422 · outbound

This paper cites Lee and R.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Lee and R

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.208357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.862129Z digest=sha256:71264e196b5f3a3fa594d76b33a9ba75c716259fe29f19ddd5ad4a5e755f5d13

Observation 33c64c60-ba54-4a13-9c4f-6d7f4fdb6755 · outbound

This paper cites Nagao Donaldson-Thomas theory and cluster algebras Duke Math.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Nagao Donaldson-Thomas theory and cluster algebras Duke Math

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.189024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.867146Z digest=sha256:93f76c8725c88168d57e062ed550c151afbefc76e32c0444a28d01b166cb6383

Observation 15059dbf-57fc-4e5c-b577-fea9ecc10000 · outbound

This paper cites Nakanishi Synchronicity phenomenon in cluster patterns J.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Nakanishi Synchronicity phenomenon in cluster patterns J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.169300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.873661Z digest=sha256:ca87b32d49e8b5540ed07bd3c2274ae77467a303e292aef61f30c0de55c4b514

Observation 0737eff5-2547-4003-b6cf-1617b4290063 · outbound

This paper cites Nakanishi Cluster algebras and scattering diagrams MSJ Mem.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Nakanishi Cluster algebras and scattering diagrams MSJ Mem

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.149974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.878970Z digest=sha256:95b5babfd143dcefe8a28d3e0e00bf13f18c46fa6380e4d5c68a49284596e82c

Observation 0b0fc6a2-b538-481e-abfe-d19b82ddd40c · outbound

This paper cites Nakanishi, A.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Nakanishi, A

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.130187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.883679Z digest=sha256:113f5926af4144444659beb5b87afcd7d3cd2cb625f6dc5fdee3e9eecb51a223

Observation 7bed3a08-fddc-4c7e-a4d0-5c88ac254cef · outbound

This paper cites Plamondon Cluster algebras via cluster categories with infinite-dimensional morphism spaces Compos.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Plamondon Cluster algebras via cluster categories with infinite-dimensional morphism spaces Compos

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.111129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.890468Z digest=sha256:3cd8a6f7fa00b775468dd1ef3c1d1360f9d916f0caea8b1fe3c01a71c1f7d2f1

Observation 7e06f076-83a2-4ec0-b973-1b58865059aa · outbound

This paper cites Reading Universal geometric cluster algebras Math.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Reading Universal geometric cluster algebras Math

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.090681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.895333Z digest=sha256:3c1b159c3c8ab3502962b4e362566d4d97591e0df694f38f9db1e5a207d47cda

Observation d3b0bf2d-16fe-41f8-92df-319b20208ef4 · outbound

This paper cites Seven Cluster algebras and semipositive symmetrizable matrices Trans.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Seven Cluster algebras and semipositive symmetrizable matrices Trans

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.070383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.900086Z digest=sha256:f846d40638d93b54ac393af9af63f20bfc79ac02738b8c85e85cb1819a67e3da

Observation f8cad33f-d0f9-45ab-aaf0-653d9f0981e5 · outbound

This paper cites Seven Maximal green sequences of skew-symmetrizable 3 3 matrices Linear Algebra Appl.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Seven Maximal green sequences of skew-symmetrizable 3 3 matrices Linear Algebra Appl

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.052846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.905399Z digest=sha256:a53ff2fc95edb788a060a4324198f7ce3de29b4f7fe211f1c19b52cb0124f3b4

Observation 0db0598b-a001-490d-ab51-9351949b9e98 · outbound

This paper cites Seven Cluster algebras and symmetric matrices Proc.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Seven Cluster algebras and symmetric matrices Proc

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.033856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.909799Z digest=sha256:ca6be8ffb31ca65170f2f5798fe96a9f318cf0c7cafa759581a0b583ce02a5a3

Observation 6bb0a3d0-27bc-4b7f-8169-2ffe014397c7 · outbound

This paper cites Warkentin Exchange graphs via quiver mutation Dissertation 2014 , 103.

Real $C$-, $G$-structures and sign-coherence of cluster algebras Warkentin Exchange graphs via quiver mutation Dissertation 2014 , 103

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:37:36.017154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-04T23:37:35.914911Z digest=sha256:2bd880ac0f0385d92e1cab5d9064f35111d2d78851aa6681328defaebaca6218

Pith citing papers

Observation 21d06b84-453c-4359-9984-928052cd3e40 · inbound

Eventual sign coherence cites this paper.

Eventual sign coherence Real $C$-, $G$-structures and sign-coherence of cluster algebras

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-06-09T02:06:06.129951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-14T18:53:44.668608Z digest=sha256:f8e48ee0937a5a100b3ad9114b6a64c92206c069a60c60431f1105c1a7d7799b