Pith Number

pith:Z2UUV6SA

pith:2012:Z2UUV6SA7QKNXG7WXV7HDANI37

not attested not anchored not stored refs pending

Hopf algebras---Variant notions and reconstruction theorems

Joost Vercruysse

arxiv:1202.3613 v1 · 2012-02-16 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2UUV6SA7QKNXG7WXV7HDANI37}

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	2026-05-18T04:02:12.753824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea94afa40fc14db9bf6bd7e7181a8dfc1870e68a854f75ef9f3474431be2f43

Aliases

arxiv: 1202.3613 · arxiv_version: 1202.3613v1 · doi: 10.48550/arxiv.1202.3613 · pith_short_12: Z2UUV6SA7QKN · pith_short_16: Z2UUV6SA7QKNXG7W · pith_short_8: Z2UUV6SA

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/Z2UUV6SA7QKNXG7WXV7HDANI37 \
  | 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: cea94afa40fc14db9bf6bd7e7181a8dfc1870e68a854f75ef9f3474431be2f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651ef57fa4511a86fa020c4e3f8968b0d2cbe32a8c556b1756d9578075fe7ea6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-02-16T15:06:56Z",
    "title_canon_sha256": "766ec4a3d139e0a4554535f3785f8f2df00f542f2848eb1b596ed52ff8b5d9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3613",
    "kind": "arxiv",
    "version": 1
  }
}