Pith Number

pith:QHSP56ZK

pith:2002:QHSP56ZKZKMVPOJUPH6GQBXPIW

not attested not anchored not stored refs pending

Structures in Feynman Graphs -Hopf Algebras and Symmetries

Dirk Kreimer

arxiv:hep-th/0202110 v3 · 2002-02-18 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHSP56ZKZKMVPOJUPH6GQBXPIW}

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	2026-05-18T04:23:55.008792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e4fefb2aca9957b93479fc6806ef458c2b8981c52a4d5545340f238c796d29

Aliases

arxiv: hep-th/0202110 · arxiv_version: hep-th/0202110v3 · doi: 10.48550/arxiv.hep-th/0202110 · pith_short_12: QHSP56ZKZKMV · pith_short_16: QHSP56ZKZKMVPOJU · pith_short_8: QHSP56ZK

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/QHSP56ZKZKMVPOJUPH6GQBXPIW \
  | 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: 81e4fefb2aca9957b93479fc6806ef458c2b8981c52a4d5545340f238c796d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73acde77dbc26a18d1ba01ad7d3e328fea4913dffa8e0cd8b02c1159e40564b7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-02-18T18:10:22Z",
    "title_canon_sha256": "a9c6fb4e6e47d33836977119ed522cc443e9364c2c58fc789b41dfb65ec11a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0202110",
    "kind": "arxiv",
    "version": 3
  }
}