Pith Number

pith:E6GAMX47

pith:2024:E6GAMX47BDLXIZWEO6SI5JWG2Y

not attested not anchored not stored refs pending

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

Yunnan Li

arxiv:2408.01345 v1 · 2024-08-02 · math.RA · math-ph · math.CO · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6GAMX47BDLXIZWEO6SI5JWG2Y}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-25T02:02:05.693386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

278c065f9f08d77466c477a48ea6c6d6396c030305a92e0bc1f32c7402ae5209

Aliases

arxiv: 2408.01345 · arxiv_version: 2408.01345v1 · doi: 10.48550/arxiv.2408.01345 · pith_short_12: E6GAMX47BDLX · pith_short_16: E6GAMX47BDLXIZWE · pith_short_8: E6GAMX47

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/E6GAMX47BDLXIZWEO6SI5JWG2Y \
  | 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: 278c065f9f08d77466c477a48ea6c6d6396c030305a92e0bc1f32c7402ae5209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c7895d5d097ae835447e6375b181237956cea376bf9929795c9854b347ec40",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-08-02T15:41:52Z",
    "title_canon_sha256": "cf059e4a9fd8418f16429b287cdd79cfd6162f561f89cd1b0edcdb4066227db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01345",
    "kind": "arxiv",
    "version": 1
  }
}