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Paper Citation Record · LEDGER

Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2512.21971.

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

pith.paper-citation-record.v1
2512.21971 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T00:26:06.539289Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T14:27:04.326427Z

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 623dd0f8-ed79-4cfa-9c7e-06c866cf3992 · inbound

Aromatic and clumped multi-indices: algebraic structure and Hopf embeddings cites this paper.

Aromatic and clumped multi-indices: algebraic structure and Hopf embeddings Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-08-10T02:12:38.725947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-15T11:48:41.883090Z digest=sha256:4b89ae7bba71c0eb9aa9f24a764664bb9b831e60a1b20b9ddfe43a0a31fde2a3

Observation a2f9ffb5-4763-46e8-9954-448b160de39c · inbound

The free tracial post-Lie-Rinehart algebra of planar aromatic trees for the design of divergence-free Lie-group methods cites this paper.

The free tracial post-Lie-Rinehart algebra of planar aromatic trees for the design of divergence-free Lie-group methods Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-08-10T02:12:38.725947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-14T00:46:18.615439Z digest=sha256:7bc01594208f94d89f6f436d955ebcd4b58c126f1d865bddc7d7898261ff7e46

Observation c114cbc7-902e-4762-9d09-64ad86c7ccc7 · inbound

Post-processed frozen-flow methods for the long time sampling of ergodic dynamics on Riemannian manifolds cites this paper.

Post-processed frozen-flow methods for the long time sampling of ergodic dynamics on Riemannian manifolds Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-08-10T02:12:38.725947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-28T00:26:06.539289Z digest=sha256:22dba82dc31af3826a1dd229c0a0215d3acafb805acfb051a714ae5de2cc53e2