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Paper Citation Record · LEDGER

Hopf algebras, from basics to applications to renormalization

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:math/0408405.

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

pith.paper-citation-record.v1
math/0408405 v2

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 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T14:44:59.405734Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-18T13:41:25.463883Z

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 d26ae0b3-3e0d-4097-93ad-03970ac68d01 · inbound

Explicit and Effectively Symmetric Schemes for Neural SDEs on Lie Groups cites this paper.

Explicit and Effectively Symmetric Schemes for Neural SDEs on Lie Groups Hopf algebras, from basics to applications to renormalization

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:41:25.467046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-18T13:40:33.651916Z digest=sha256:8facbb353ffd2a1df9dbf8180b156acb263a104ade9b6aacceedb37acbf98d4d

Observation f068adb7-aba2-4b3b-964b-5c95a572c418 · inbound

Graphical Functions by Examples cites this paper.

Graphical Functions by Examples Hopf algebras, from basics to applications to renormalization

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.188237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:c4be61876615711e8e8eb73fc4062184f4fc867b2defb988c45d4cfcb5c10c2e

Observation c535b6f5-623a-45dc-9ab0-0181465ddba5 · inbound

Piecewise Symmetric Tensors cites this paper.

Piecewise Symmetric Tensors Hopf algebras, from basics to applications to renormalization

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-11T14:44:59.405734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T14:44:59.405734Z digest=sha256:d1358876309449e2d68e308734d20de9d7cdebaa1b6d45efe9f17b72d388d41a