Pith Number

pith:4U45YRAB

pith:2008:4U45YRABEUC3YFWVGC46RXMOCT

not attested not anchored not stored refs pending

The structure of renormalization Hopf algebras for gauge theories I: Representing Feynman graphs on BV-algebras

Walter D. van Suijlekom

arxiv:0807.0999 v2 · 2008-07-07 · math-ph · hep-th · 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{4U45YRABEUC3YFWVGC46RXMOCT}

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	2026-05-18T02:15:45.574643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e539dc44012505bc16d530b9e8dd8e14e0591290ab09a9b6f5360c6cefdc8dd7

Aliases

arxiv: 0807.0999 · arxiv_version: 0807.0999v2 · doi: 10.48550/arxiv.0807.0999 · pith_short_12: 4U45YRABEUC3 · pith_short_16: 4U45YRABEUC3YFWV · pith_short_8: 4U45YRAB

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/4U45YRABEUC3YFWVGC46RXMOCT \
  | 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: e539dc44012505bc16d530b9e8dd8e14e0591290ab09a9b6f5360c6cefdc8dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a92dd5518d9b1e74063e4830c710494b471acae9ff9e55544d2b3d277911943",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-07-07T12:14:44Z",
    "title_canon_sha256": "39df34321c774ba5ee006c757924da12656088a7edc433b3c4e81d016d6daa1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0999",
    "kind": "arxiv",
    "version": 2
  }
}