Pith. sign in

Paper Citation Record · LEDGER

Examples of scalar extension Hopf algebroids over a universal enveloping algebra

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.03125.

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

pith.paper-citation-record.v1
2506.03125 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:24:16.875940Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact7
  • verified fuzzy11
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f91e3579-82ea-4b43-aeae-ebfdc70e9e78 · outbound

This paper cites Abe, Hopf algebras, Cambridge Univ.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Abe, Hopf algebras, Cambridge Univ

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:21.370458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:14.366674Z digest=sha256:d9bb60bf078daad81d7ac622f5f8493082f7f43f05b2315da38643e0c30d24cd

Observation 5f0eaa7b-b703-4aa5-94b5-be0fc50a10c8 · outbound

This paper cites Hopf Algebroids.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Hopf Algebroids

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T11:24:14.462848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:24:14.462848Z digest=sha256:b7996ef65ff304ed37bb509cad91cc2107e0e901a856991ade57926f8aa10052

Observation 1906a9a8-bfec-4639-8bcf-a41526e2f214 · outbound

This paper cites Hopf algebroids with bijective antipodes: axioms, integrals and duals.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Hopf algebroids with bijective antipodes: axioms, integrals and duals

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:24:18.876643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:14.584094Z digest=sha256:a5421e05a57745450b2030e207c8771e031b2790a1a3a49ce063cd2a257f090b

Observation 089d9d9c-2776-4d9e-b1cf-a0186970acdf · outbound

This paper cites Borel, Sur quelques points de la th´ eorie des fonctions, Annales scientifiques de l’ ´Ecole Normale Sup´ erieure, S´ er.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Borel, Sur quelques points de la th´ eorie des fonctions, Annales scientifiques de l’ ´Ecole Normale Sup´ erieure, S´ er

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:21.237086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:14.678601Z digest=sha256:e24d6625754b6caad7f2bb021a0867dcd92577cdd74bc5f8a80eb36dc704bccf

Observation 5a8c9601-ed02-484c-9c06-8961729e759d · outbound

This paper cites Bourbaki, Lie groups and algebras, Ch.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Bourbaki, Lie groups and algebras, Ch

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:21.106260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:14.743256Z digest=sha256:f660c0977149bbcdd63b1b7750ffdc696e50283054ca4dfcd76f5ddec428d32a

Observation 007aeed1-fcf6-4648-8f26-3f843abe1dcd · outbound

This paper cites Bialgebroids, $\times_{A}$-bialgebras and duality.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Bialgebroids, $\times_{A}$-bialgebras and duality

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:24:18.619356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:14.853586Z digest=sha256:e60f7bfb820a131732e7071aeb7944591d79cb568e0163b7ea28b8b8a32f0e34

Observation 621caf2d-b6f8-4538-9685-b879dd144d4b · outbound

This paper cites Brzezi ´nski, R.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Brzezi ´nski, R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:21.002127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:14.963126Z digest=sha256:fadacb1cc71ae132b69b8b5abe9b4fd04c0c1a86a48f2ee2bdfb833f7330337f

Observation fc7b4b6d-b9f5-40f3-b19d-53051b70de9b · outbound

This paper cites Cartier, A primer of Hopf algebras , Frontiers in number theory, physics, and geometry II, 537–615, Springer 2007.; preprint IH ´ES 2006.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Cartier, A primer of Hopf algebras , Frontiers in number theory, physics, and geometry II, 537–615, Springer 2007.; preprint IH ´ES 2006

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:20.891394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:15.056166Z digest=sha256:bb7402a2c75e89a1f732fa79ca3cbefd77c754ce6c4a511773b1201ccf0b4cf7

Observation 59ab1f9d-9a28-4332-8f77-f952b3a3bfa7 · outbound

This paper cites Cannas da Silva, A.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Cannas da Silva, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:20.764214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:15.155067Z digest=sha256:f3f892d5efb9d267b4c8b7c424e6396109e24ba1d5b7946111036b249c740dd0

Observation a5793548-6b03-411f-86a7-40c03330faef · outbound

This paper cites Helgason , Differential geometry, Lie groups and symmetric spaces , Acad.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Helgason , Differential geometry, Lie groups and symmetric spaces , Acad

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:20.626053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:15.243171Z digest=sha256:48f35b7ff4c696bafed9471bef0e55415e22a95f305efcf1fe9e2ca482a3ae8f

Observation 0a241df7-ac1b-4917-95c6-996e1141aa37 · outbound

This paper cites an unresolved cited work.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:24:20.506655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:15.371147Z digest=sha256:4422b5358f31bdceb3250451fa78657c48c3cfea492daa24b801597962045962

Observation 2c662c1d-e30c-49f4-818c-4a7931c2d985 · outbound

This paper cites Hochschild, G.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Hochschild, G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:20.339393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:15.462947Z digest=sha256:4053ff41f230c472de8a25dbd8b67557e3739a6fa0e49a2daa245e399cd4f9a6

Observation 8d12190c-6efa-4a33-a530-135d4496dc58 · outbound

This paper cites an unresolved cited work.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:24:20.196759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:15.516491Z digest=sha256:4ec56bb9783bb3357b8520da9b1c523d587aa3343fd8341636e13e0b765f71e1

Observation 37f2ca2c-b715-4b1a-8eb5-c76f50ecc2f1 · outbound

This paper cites Hopf algebroids and quantum groupoids.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Hopf algebroids and quantum groupoids

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T11:24:15.617292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:24:15.617292Z digest=sha256:700c20c55bf6d89b7da9d7d6092fd95b60474f605f9643be13b82141cd2f0f3a

Observation 08f8fa6b-2fb8-4e49-8f29-9689a824de93 · outbound

This paper cites Majid , Foundations of quantum group theory , Cambridge University Press 1995.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Majid , Foundations of quantum group theory , Cambridge University Press 1995

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:20.037268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:15.716740Z digest=sha256:4da4c33db7aae93ef8f46d13a6cbad01f55160d0a3748a8d706bd9aec09a17a5

Observation cc77b8a2-6a11-4cb7-baec-c29e4cac8cc8 · outbound

This paper cites Lie algebra type noncommutative phase spaces are Hopf algebroids.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Lie algebra type noncommutative phase spaces are Hopf algebroids

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T11:24:15.821379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:24:15.821379Z digest=sha256:9bdc549a16cdc0a84ef02a0b13f5051a991e6b6fcaffe27453aa1ee3e6ac38df

Observation 0dabac1a-99fc-4beb-8921-ac9bf5087339 · outbound

This paper cites Montgomery, Some remarks on filtrations of Hopf algebras , Comm.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Montgomery, Some remarks on filtrations of Hopf algebras , Comm

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:19.791834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:15.930591Z digest=sha256:49e6a2e49d0e857568fe0e8cc734f0c8ace3e58d75c9a2507fb9626b3bfe0317

Observation fe6da66e-7b75-4fb9-9302-6a2a3540ebce · outbound

This paper cites an unresolved cited work.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:24:19.569494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:16.065061Z digest=sha256:5786e7e726f04a3f18cd1df6a8df9b6bb88a6e6be88e0ea76bb89eef3ce073c3

Observation 9cdd18a5-4dab-4c20-9b75-b0a53af67674 · outbound

This paper cites Twisted exterior derivatives for universal enveloping algebras I.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Twisted exterior derivatives for universal enveloping algebras I

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:24:18.274585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:16.179086Z digest=sha256:9845d458ecb8840363c7d1d26a0e371133be293d0f1e8dec2e1dc8175392dfa0

Observation d31c3ef9-baf4-4baf-b178-481c836bea9c · outbound

This paper cites ˇSkoda, M.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra ˇSkoda, M

Reference 20

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:24:18.026871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:16.253628Z digest=sha256:686ef57320feaf6ebbb57992c2d3ebc979168b3cfc116ca9b7f90a1f4e077bc4

Observation 4c562a13-738b-4d74-9b16-2485da0c9206 · outbound

This paper cites Enveloping algebra is a Yetter--Drinfeld module algebra over Hopf algebra of regular functions on the automorphism group of a Lie algebra.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Enveloping algebra is a Yetter--Drinfeld module algebra over Hopf algebra of regular functions on the automorphism group of a Lie algebra

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:24:17.634635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:16.364974Z digest=sha256:340f9c5494404a5a9503137d4d579bf8d9899846aa7c91194348eadf5c3f7399

Observation 051254a2-479f-4786-9c4b-7ee3708de120 · outbound

This paper cites Scalar extension Hopf algebroids.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Scalar extension Hopf algebroids

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T11:24:16.475123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:24:16.475123Z digest=sha256:8249cc5127c3e21533e71ad6485399c1f56cbeef146c28f1c12f59d246e1a68d

Observation 245ea0c8-6f54-4b56-80da-3b0edc82af55 · outbound

This paper cites an unresolved cited work.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:24:19.396623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:16.582034Z digest=sha256:aee4df1a06db9267b88f01284c4ad654adeabb602a2fd24a0416b0b7316c70c1

Observation 7af8248b-4388-4b16-966a-1e1549bd0e6b · outbound

This paper cites Internal Hopf algebroid.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Internal Hopf algebroid

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:24:17.366181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:16.653348Z digest=sha256:32fdd9e4ebeb34fafaff8dc6ee9c6daed559c441d6e46cb984de99d7c184d286

Observation 48feace1-4fc1-43f0-8ff5-9f469ece9146 · outbound

This paper cites Timmermann , An invitation to quantum groups and duality , Eur.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Timmermann , An invitation to quantum groups and duality , Eur

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:24:19.173741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:16.730106Z digest=sha256:86a91517e59ecd74ba6cce33b5f3c31e9199f6b8eaf0cea3d5609d2891b261ce

Observation 2d26bc55-b6c0-4a90-bf6e-b7eb4a41186b · outbound

This paper cites Quantum groupoids.

Examples of scalar extension Hopf algebroids over a universal enveloping algebra Quantum groupoids

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:24:17.112648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:24:16.875940Z digest=sha256:7d9134f3e4d4523ad5b2a2d6be0ca9b282fdf0075bb66b432c49800b58d59b94

Pith citing papers

No inbound Pith citation observations are available.