Pith Number

pith:FWRE6N7T

pith:2012:FWRE6N7T2SBKGMMKWDZNSPVPXJ

not attested not anchored not stored refs pending

A nondiagrammatic description of the Connes-Kreimer Hopf algebra

Alastair Hamilton

arxiv:1203.2686 v1 · 2012-03-13 · math.QA · hep-th · 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{FWRE6N7T2SBKGMMKWDZNSPVPXJ}

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	2026-05-18T04:00:14.953599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2da24f37f3d482a3318ab0f2d93eafba645e699b370e66727d356a643de24e00

Aliases

arxiv: 1203.2686 · arxiv_version: 1203.2686v1 · doi: 10.48550/arxiv.1203.2686 · pith_short_12: FWRE6N7T2SBK · pith_short_16: FWRE6N7T2SBKGMMK · pith_short_8: FWRE6N7T

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/FWRE6N7T2SBKGMMKWDZNSPVPXJ \
  | 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: 2da24f37f3d482a3318ab0f2d93eafba645e699b370e66727d356a643de24e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8d9a94af35b49716ae196cd7e26ab33ae9b6341270349eac20ed38204775fb",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-13T01:22:12Z",
    "title_canon_sha256": "25d406cbd3627d1e2671b9eee5631d3d7ae3d5c2b99de005ebf23d6576fc0b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2686",
    "kind": "arxiv",
    "version": 1
  }
}