Pith Number

pith:THSJB4W7

pith:1998:THSJB4W7ANUZCVHS7G7ZVV2EEU

not attested not anchored not stored refs pending

On Kreimer's Hopf algebra structure of Feynman graphs

Raimar Wulkenhaar (CPT Luminy), Thomas Krajewski

arxiv:hep-th/9805098 v4 · 1998-05-16 · 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{THSJB4W7ANUZCVHS7G7ZVV2EEU}

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	2026-05-18T04:13:16.704333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e490f2df03699154f2f9bf9ad744252202700927224804f2352d3a9687587d

Aliases

arxiv: hep-th/9805098 · arxiv_version: hep-th/9805098v4 · doi: 10.48550/arxiv.hep-th/9805098 · pith_short_12: THSJB4W7ANUZ · pith_short_16: THSJB4W7ANUZCVHS · pith_short_8: THSJB4W7

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/THSJB4W7ANUZCVHS7G7ZVV2EEU \
  | 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: 99e490f2df03699154f2f9bf9ad744252202700927224804f2352d3a9687587d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d7c52e3967a3110ca9eda71193bfec4065fba005f46afd1e532818d14f1a177",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-05-16T19:30:03Z",
    "title_canon_sha256": "d3d8c41b48310dcea0719f6166546c4abc5db9c691836940b4a2a5ee5602fa13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9805098",
    "kind": "arxiv",
    "version": 4
  }
}