Pith Number

pith:SX5WW2IH

pith:1999:SX5WW2IHHPMEVMMRZGYHCBKBBQ

not attested not anchored not stored refs pending

Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem

Alain Connes, Dirk Kreimer

arxiv:hep-th/9912092 v1 · 1999-12-13 · hep-th · math-ph · math.MP · 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{SX5WW2IHHPMEVMMRZGYHCBKBBQ}

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.

Cited by

3 papers in Pith

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

Tropicalized quantum field theory and global tropical sampling

Graphical Functions by Examples

Receipt and verification

First computed	2026-07-04T16:15:04.639539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fb6b69073bd84ab191c9b07105410c24a9272695390a7069757d444c8365eb

Aliases

arxiv: hep-th/9912092 · arxiv_version: hep-th/9912092v1 · doi: 10.48550/arxiv.hep-th/9912092 · pith_short_12: SX5WW2IHHPME · pith_short_16: SX5WW2IHHPMEVMMR · pith_short_8: SX5WW2IH

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/SX5WW2IHHPMEVMMRZGYHCBKBBQ \
  | 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: 95fb6b69073bd84ab191c9b07105410c24a9272695390a7069757d444c8365eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "759a73dc570282bc0708a8adf6d0587422dd3ac1fe217bee80a849a89cecc1f2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-12-13T16:10:51Z",
    "title_canon_sha256": "481d5f21e6728e962da1c96cdf50fc87cf06683804bf67ed1ed3145affdc38dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9912092",
    "kind": "arxiv",
    "version": 1
  }
}