Pith Number

pith:TO7DA7CP

pith:2000:TO7DA7CPLJHP3A7HXE6ZACI242

not attested not anchored not stored refs pending

Renormalization of QED with planar binary trees

Alessandra Frabetti, Christian Brouder

arxiv:hep-th/0003202 v1 · 2000-03-22 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TO7DA7CPLJHP3A7HXE6ZACI242}

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	2026-05-18T04:40:46.637948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bbe307c4f5a4efd83e7b93d90091ae6bd3be1381f4af4013877fe86ec45781f

Aliases

arxiv: hep-th/0003202 · arxiv_version: hep-th/0003202v1 · doi: 10.48550/arxiv.hep-th/0003202 · pith_short_12: TO7DA7CPLJHP · pith_short_16: TO7DA7CPLJHP3A7H · pith_short_8: TO7DA7CP

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/TO7DA7CPLJHP3A7HXE6ZACI242 \
  | 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: 9bbe307c4f5a4efd83e7b93d90091ae6bd3be1381f4af4013877fe86ec45781f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66891fc5c10abde0ff0249ed91cce504967470700acd34f9467ca5b305b63e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-03-22T18:53:24Z",
    "title_canon_sha256": "00303b74353bd0bd2a46c062fac376aa83f910cc58a68a875d019f2acd71846a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0003202",
    "kind": "arxiv",
    "version": 1
  }
}