Pith Number

pith:F2A4525L

pith:2008:F2A4525LT3YTWOENAAASM2HHJO

not attested not anchored not stored refs pending

Renormalization of gauge fields using Hopf algebras

Walter D. van Suijlekom

arxiv:0801.3170 v1 · 2008-01-21 · 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{F2A4525LT3YTWOENAAASM2HHJO}

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	2026-05-18T02:16:01.721650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e81ceebab9ef13b388d00012668e74bb21b19a09a53656d7136ce32f7b59d86

Aliases

arxiv: 0801.3170 · arxiv_version: 0801.3170v1 · doi: 10.48550/arxiv.0801.3170 · pith_short_12: F2A4525LT3YT · pith_short_16: F2A4525LT3YTWOEN · pith_short_8: F2A4525L

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/F2A4525LT3YTWOENAAASM2HHJO \
  | 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: 2e81ceebab9ef13b388d00012668e74bb21b19a09a53656d7136ce32f7b59d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6112645aa6918761bb923ba3939fe6583a9ba83ab4b5b06e99f76323dcb0b4c3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2008-01-21T10:50:10Z",
    "title_canon_sha256": "c002cf2ee732b840655d62ed2cec799ecfe541c1e5773e163781f3d59ec7130d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3170",
    "kind": "arxiv",
    "version": 1
  }
}