Pith Number

pith:E5BBZ4BM

pith:2011:E5BBZ4BM3A72LOPHC7QR5HMH2L

not attested not anchored not stored refs pending

Weak Lie 2-bialgebra

Mathieu Stienon, Ping Xu, Zhuo Chen

arxiv:1109.2290 v3 · 2011-09-11 · math-ph · math.MP · 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{E5BBZ4BM3A72LOPHC7QR5HMH2L}

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	2026-05-18T03:30:03.092957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27421cf02cd83fa5b9e717e11e9d87d2f803b110e5639ed977ef773d62d751ef

Aliases

arxiv: 1109.2290 · arxiv_version: 1109.2290v3 · doi: 10.48550/arxiv.1109.2290 · pith_short_12: E5BBZ4BM3A72 · pith_short_16: E5BBZ4BM3A72LOPH · pith_short_8: E5BBZ4BM

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/E5BBZ4BM3A72LOPHC7QR5HMH2L \
  | 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: 27421cf02cd83fa5b9e717e11e9d87d2f803b110e5639ed977ef773d62d751ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad3b6f68b601f1f2778d5417bea65b382b98595a32d3aedfe06bdf670af37bf",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-11T07:48:59Z",
    "title_canon_sha256": "d9f6d237c6e4fbc639952fe8d0d899149953e021be3bf7f9a0aebd29d6c081be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2290",
    "kind": "arxiv",
    "version": 3
  }
}