Pith Number

pith:MOUY764R

pith:2006:MOUY764RJQ5AGHLXZ37BJFCWA6

not attested not anchored not stored refs pending

Bicrossproduct approach to the Connes-Moscovici Hopf algebra

Shahn Majid, Tom Hadfield

arxiv:math/0601581 v2 · 2006-01-24 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOUY764RJQ5AGHLXZ37BJFCWA6}

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	2026-05-18T04:42:14.803137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63a98ffb914c3a031d77cefe149456078b93b9dba21b05748b01d8c08dda0244

Aliases

arxiv: math/0601581 · arxiv_version: math/0601581v2 · doi: 10.48550/arxiv.math/0601581 · pith_short_12: MOUY764RJQ5A · pith_short_16: MOUY764RJQ5AGHLX · pith_short_8: MOUY764R

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/MOUY764RJQ5AGHLXZ37BJFCWA6 \
  | 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: 63a98ffb914c3a031d77cefe149456078b93b9dba21b05748b01d8c08dda0244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf68ecee7956331c5189e54237d437031caac574e103c1a994bd0e336a3adea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-01-24T12:41:55Z",
    "title_canon_sha256": "a4272fb01df5e7f6aab05f4a57a647e06d16823c9ffa4d8cf3df11fcb9970011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601581",
    "kind": "arxiv",
    "version": 2
  }
}