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Paper Citation Record · LEDGER

Jordan types commuting with a hook partition

As of 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2605.27692.

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

pith.paper-citation-record.v1
2605.27692 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T14:02:20.031770Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T11:54:35.118566Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T01:26:25.054864Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8071bfc4-26d0-4f49-9615-a4f10e4840a5 · outbound

This paper cites Baranovsky,The variety of pairs of commuting nilpotent matrices is irreducible,Transform.

Jordan types commuting with a hook partition Baranovsky,The variety of pairs of commuting nilpotent matrices is irreducible,Transform

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:7da2fad60fba2f10e69f2820e3c53a154101d2d36e4fa20ff0d675fd437a5f5d

Observation b647bf54-ca09-476d-8f71-af6075cd37a0 · outbound

This paper cites Basili.On the irreducibility of commuting varieties of nilpotent ma- trices.J.

Jordan types commuting with a hook partition Basili.On the irreducibility of commuting varieties of nilpotent ma- trices.J

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:faa7fa526f6e3a740bd7658d417805c62c03b5edd3c939c20b66c9e9e11073ea

Observation 754a732f-1dd0-4c33-b62a-8271aa3e516b · outbound

This paper cites Basili.On the maximal nilpotent orbit that intersects the centralizer of a matrix.Transform.

Jordan types commuting with a hook partition Basili.On the maximal nilpotent orbit that intersects the centralizer of a matrix.Transform

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:1fb8cdcee5b232a7d98320b59acb044a04103c18f7f8803afe504c83b39e5fb6

Observation 406b919a-2bb4-472f-800e-a67d27115dad · outbound

This paper cites Basili, A.

Jordan types commuting with a hook partition Basili, A

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:591c3473f32c42c18ef008dcc7656ae7fa4517034193cc9f3316fb7b7f2a602c

Observation 1fc1491c-ca29-4b75-a755-12dd783123a3 · outbound

This paper cites Basili, A.

Jordan types commuting with a hook partition Basili, A

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:25eed8e5ffee7377c2ad760bcc555534e72d39a0daf74b2e3401c10b2c0a2ea0

Observation 996603fe-f453-4729-936d-fc7997335624 · outbound

This paper cites an unresolved cited work.

Jordan types commuting with a hook partition Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:2069b3c97db387b20b0d1840b76b77ad800b3d3469bacc82aacff14290114cb8

Observation 9cdd2af0-59d7-4df2-92a7-135df8bacc04 · outbound

This paper cites Bogdani´ c, A.

Jordan types commuting with a hook partition Bogdani´ c, A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:7aab6da9767978d1b7d49fe24e0eb98e33e0c9e6dc36ae076891380574432302

Observation 67a4b41b-1097-46ad-a5d0-facbd41b30f1 · outbound

This paper cites an unresolved cited work.

Jordan types commuting with a hook partition Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:0840e9ee2803b0f0a0e5c3017a85f3311505062dc0bd1938cec37518699d5b0c

Observation 90016053-0131-4589-a298-a65db873ad8b · outbound

This paper cites an unresolved cited work.

Jordan types commuting with a hook partition Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:457fac0b59691d52f91709b9e99700464fce6f7494731212fc5b6ea588c6651e

Observation aa07b998-775e-4e5f-9fed-e2b4a7a8d36e · outbound

This paper cites Iarrobino, L.

Jordan types commuting with a hook partition Iarrobino, L

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:43f8293b58a06f2c2b466464012b26697d3714f16f793b1e6681b1639e183c97

Observation 284f1b31-3df9-491b-b01b-b6f5fe24ab5b · outbound

This paper cites Iarrobino, L.

Jordan types commuting with a hook partition Iarrobino, L

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:9cc95bc355f4d89319440e5e27dc39a8c3cc67ca784251e90b12cb2ee43ff804

Observation 74e31eae-2b21-42a5-b54d-230dbe45d1a3 · outbound

This paper cites A Proof of the Box Conjecture for Commuting Pairs of Matrices.

Jordan types commuting with a hook partition A Proof of the Box Conjecture for Commuting Pairs of Matrices

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-06-29T14:03:29.384321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:b83454a195b72c8e7e429aaddcc17214c5fa60038ec9edf59d1519d1d9b52fd4

Observation 75ee6f10-6351-4db4-8461-b977fec9eff8 · outbound

This paper cites Khatami.The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix.J.

Jordan types commuting with a hook partition Khatami.The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix.J

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:066da246bc508d95f7da811043728f0d6ff3c652af3a7500fea44611ce17d0c2

Observation 73fda169-bf91-4801-9910-b2a40f8208a9 · outbound

This paper cites Khatami.Commuting Jordan types: a survey.Contemp.

Jordan types commuting with a hook partition Khatami.Commuting Jordan types: a survey.Contemp

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:3d6ac626fec8ae0667c726c12029606e4554b79944ddb62365c1197134fb467e

Observation 1ec47a22-2c43-4c11-b7c2-2b4fed7718f3 · outbound

This paper cites Koˇ sir.Jordan types for pairs of commuting nilpotent matrices: A survey.Preprint at https://arxiv.org/abs/.

Jordan types commuting with a hook partition Koˇ sir.Jordan types for pairs of commuting nilpotent matrices: A survey.Preprint at https://arxiv.org/abs/

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:651881093a2ff2de7e9e9965a5ee7b4c8ebbbaa79306359fb517af9fd0466f5f

Observation 5aa3e347-4a9c-4a34-9d26-e09fad1952c6 · outbound

This paper cites Koˇ sir, P.

Jordan types commuting with a hook partition Koˇ sir, P

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:2d172f3bda9c1988116884995d400d8c217b2ce4d7a2d467c9850e1ca5c1ed45

Observation a475a87f-63b4-4e26-b3c5-8b6eb8f3cc26 · outbound

This paper cites Oblak.The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix.Lin.

Jordan types commuting with a hook partition Oblak.The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix.Lin

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:69f5b7774bb0d9bce9f4178ac9d931f195b9d7d0141ce535d1b9d608585677a8

Observation 6042e5d5-89f1-4962-8b50-54bbcc624301 · outbound

This paper cites Oblak.On the nilpotent commutator of a nilpotent matrix.Lin.

Jordan types commuting with a hook partition Oblak.On the nilpotent commutator of a nilpotent matrix.Lin

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:aef5d650a903394783e835446cff2bb5fd619d5bd0f8b8e013a7f7543dcc1883

Observation 1e5ce539-8e63-45c4-b67a-b73814cf95cb · outbound

This paper cites an unresolved cited work.

Jordan types commuting with a hook partition Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-29T14:02:20.031770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:02:20.031770Z digest=sha256:c12a6c4eca1513878164985afc00027569937a2a1c4bda976b4683ccde04a6a1

Pith citing papers

Observation a6c436a0-b3d2-4c68-a3bd-ed4b18260f15 · inbound

Jordan types for pairs of commuting nilpotent matrices: A survey cites this paper.

Jordan types for pairs of commuting nilpotent matrices: A survey Jordan types commuting with a hook partition

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-07-02T01:26:25.056110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T11:54:35.118566Z digest=sha256:46ee5bed1df1c45dc9bb60de6089bbdffa2662f09aeafc6eab8927b748633e39