Paper Citation Record · LEDGER

Dual canonical bases and embeddings of symmetric spaces

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2505.01173.

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

pith.paper-citation-record.v1
2505.01173 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:34:09.418664Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:30:36.357282Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T00:46:23.573283Z

Reference resolution

26 of 26 outbound references displayed

verified exact7
verified fuzzy7
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e0957de-5fcd-4fcf-9b22-0babff3b94ab · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T04:34:09.116321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0816686a-9560-421f-8127-0678b8ef2a19 · outbound

This paper cites Symmetric subgroup schemes, Frobenius splittings, and quantum symmetric pairs.

Dual canonical bases and embeddings of symmetric spaces Symmetric subgroup schemes, Frobenius splittings, and quantum symmetric pairs

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T04:34:09.127364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a995b9a7-7454-4395-8f00-48c5ebc1fd9e · outbound

This paper cites Coordinate rings on symmetric spaces.

Dual canonical bases and embeddings of symmetric spaces Coordinate rings on symmetric spaces

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T04:34:09.142562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfc94f75-7f64-45cb-9c07-7c56e7fa472c · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T04:34:09.154055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a7c0a47-b102-4643-8c5d-af97bbebb965 · outbound

This paper cites Cox, John B.

Dual canonical bases and embeddings of symmetric spaces Cox, John B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:34:10.719425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e83d857-f52f-46d8-ba96-2dd00f22f495 · outbound

This paper cites Mumford, J.

Dual canonical bases and embeddings of symmetric spaces Mumford, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:34:10.677882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7cb9c317-3563-4777-9816-af4c61b7030a · outbound

This paper cites De Concini and C.

Dual canonical bases and embeddings of symmetric spaces De Concini and C

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T04:34:09.185524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbe3bbbd-94b3-4d9b-972d-267894cd999b · outbound

This paper cites De Concini and T.

Dual canonical bases and embeddings of symmetric spaces De Concini and T

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T04:34:09.198529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 057ff585-ba79-4a16-8531-49559c89b222 · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-16T04:34:09.905174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation acab446b-4bc6-4ae5-8b91-38d3dbf4e834 · outbound

This paper cites Grosshans, Contractions of the actions of reductive algebraic groups in arbi- trary characteristic, Invent.

Dual canonical bases and embeddings of symmetric spaces Grosshans, Contractions of the actions of reductive algebraic groups in arbi- trary characteristic, Invent

Reference 10

Resolution: verified exact; doi, observed 2026-08-16T04:34:09.835029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 543d5af6-1659-4cf6-a0f7-a1d77d76d142 · outbound

This paper cites Groups 6 (2001), no.

Dual canonical bases and embeddings of symmetric spaces Groups 6 (2001), no

Reference 11

Resolution: verified exact; doi, observed 2026-08-16T04:34:09.787383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f1d4b47e-1f1b-4931-832e-1c48cfa53cc3 · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:34:10.644970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 734dcb8b-aa1a-4363-8fb2-00143e632536 · outbound

This paper cites Kac, Infinite-dimensional Lie algebras, 3rd ed., Cambridge University Press, Cam- bridge, 1990.

Dual canonical bases and embeddings of symmetric spaces Kac, Infinite-dimensional Lie algebras, 3rd ed., Cambridge University Press, Cam- bridge, 1990

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:34:10.615345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d54fe3a2-bd6b-49aa-ae28-28d6dc3b5a6f · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:34:10.546368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f73c7df4-9a60-4e8d-9320-a98ca929b728 · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-16T04:34:09.758452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7c0429c2-bcc0-44c8-a69c-b7d9916e8274 · outbound

This paper cites 8, Cambridge University Press, Cambridge, 1989.

Dual canonical bases and embeddings of symmetric spaces 8, Cambridge University Press, Cambridge, 1989

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:34:10.494674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e454bacd-ceaa-438d-9f56-c1c23abcad58 · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T04:34:09.293322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9336c8a-9294-482b-b9bc-2b6bf9913c6e · outbound

This paper cites 6–10 avril 2009, 2010, pp.

Dual canonical bases and embeddings of symmetric spaces 6–10 avril 2009, 2010, pp

Reference 18

Resolution: verified exact; doi, observed 2026-08-16T04:34:09.652534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5224f71e-3104-44b7-a675-259ef5debea8 · outbound

This paper cites Rittatore, Algebraic monoids and group embeddings, Transform.

Dual canonical bases and embeddings of symmetric spaces Rittatore, Algebraic monoids and group embeddings, Transform

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T04:34:09.330213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2781a418-cab1-4c92-b4a3-94ec119cb3ab · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:34:10.436650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4ae536e6-504e-498a-89bd-59a63053c547 · outbound

This paper cites MR3764130.

Dual canonical bases and embeddings of symmetric spaces MR3764130

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:34:10.395497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9052d068-36e4-40f8-8689-552d4455ed0d · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:34:10.343131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 13985eaa-4c2b-445d-bdf1-103bb99fe0fc · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-16T04:34:09.590254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3699c0f9-61b8-47c5-a838-c00c58a9b1d0 · outbound

This paper cites an unresolved cited work.

Dual canonical bases and embeddings of symmetric spaces Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-08-16T04:34:09.507896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8cc2e126-7216-4521-a989-e1ece08d015a · outbound

This paper cites Math., vol.

Dual canonical bases and embeddings of symmetric spaces Math., vol

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:34:10.282471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 41e998bc-fa12-4129-9b89-841647e61d60 · outbound

This paper cites Scuola Norm.

Dual canonical bases and embeddings of symmetric spaces Scuola Norm

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:34:10.232293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 5cc64439-7485-4af0-9485-173aa2a43658 · inbound

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ cites this paper.

Toroidal embedding of Chevalley groups over $\mathbb{Z}$ Dual canonical bases and embeddings of symmetric spaces

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-07T11:30:36.357282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8f2baf7-0c8c-40aa-869a-f4d86c6c90d8 · inbound

Reductive monoids over general base cites this paper.

Reductive monoids over general base Dual canonical bases and embeddings of symmetric spaces

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-02T00:46:23.575275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.