Pith Number

pith:EZRRLS73

pith:2009:EZRRLS73AXKXGKEDRO5FXCQIP6

not attested not anchored not stored refs pending

Braided cofree Hopf algebras and quantum multi-brace algebras

Marc Rosso, Run-Qiang Jian

arxiv:0904.2964 v4 · 2009-04-20 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZRRLS73AXKXGKEDRO5FXCQIP6}

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	2026-05-18T03:52:51.748484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

266315cbfb05d57328838bba5b8a087fbb48715c58146359d4467e548399a9db

Aliases

arxiv: 0904.2964 · arxiv_version: 0904.2964v4 · doi: 10.48550/arxiv.0904.2964 · pith_short_12: EZRRLS73AXKX · pith_short_16: EZRRLS73AXKXGKED · pith_short_8: EZRRLS73

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/EZRRLS73AXKXGKEDRO5FXCQIP6 \
  | 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: 266315cbfb05d57328838bba5b8a087fbb48715c58146359d4467e548399a9db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71652128e4655a304b07d6ef744304fffe9c96d47da50e556ae798853d835b4b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-04-20T08:08:25Z",
    "title_canon_sha256": "97abad3722ab27c58b08b84f340074ffad791f6b4b99c858f419df5d85d619ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2964",
    "kind": "arxiv",
    "version": 4
  }
}