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Paper Citation Record · LEDGER

Lie algebra type noncommutative phase spaces are Hopf algebroids

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1409.8188.

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

pith.paper-citation-record.v1
1409.8188 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:24:15.821379Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T22:50:49.241053Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

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

Examples of scalar extension Hopf algebroids over a universal enveloping algebra cites this paper.

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 27bae29d-5198-467f-ae06-1d922e3dcfd2 · inbound

Drinfeld-Xu bialgebroid 2-cocycles twist the antipode cites this paper.

Drinfeld-Xu bialgebroid 2-cocycles twist the antipode Lie algebra type noncommutative phase spaces are Hopf algebroids

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-04T21:37:42.416172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-10T19:32:34.445162Z digest=sha256:d0cba1d7c41c8a9a1fd4cdb87e080fd5119c00bb6afef6845a059d7f7f694e55