Pith Number

pith:ZMFDS4CU

pith:2023:ZMFDS4CUNXWCSMMEN5LQJGX5UP

not attested not anchored not stored refs pending

A Survey on the Munthe-Kaas-Wright Hopf Algebra

Kurusch Ebrahimi-Fard, Ludwig Rahm

arxiv:2306.04381 v3 · 2023-06-07 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMFDS4CUNXWCSMMEN5LQJGX5UP}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

On the sub-adjacent Hopf algebra of the universal enveloping algebra of a post-Lie algebra

Receipt and verification

First computed	2026-07-05T09:09:52.399842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0a3970546dec2931846f57049afda3f7f8201f758c7b50e71da256d8d53d61

Aliases

arxiv: 2306.04381 · arxiv_version: 2306.04381v3 · doi: 10.48550/arxiv.2306.04381 · pith_short_12: ZMFDS4CUNXWC · pith_short_16: ZMFDS4CUNXWCSMME · pith_short_8: ZMFDS4CU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZMFDS4CUNXWCSMMEN5LQJGX5UP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cb0a3970546dec2931846f57049afda3f7f8201f758c7b50e71da256d8d53d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e015e700fde11b62c95c71e20fc3651be62b60fc9f72d602c2caab36f4a877af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2023-06-07T12:25:38Z",
    "title_canon_sha256": "90124fbed649823c00a0cbe1c386c9993b25f507bb9194814472cf0dbc4da34b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.04381",
    "kind": "arxiv",
    "version": 3
  }
}