Pith Number

pith:JC2FOATR

pith:2012:JC2FOATREAEY5KUSH2RTBTSKPR

not attested not anchored not stored refs pending

Renormalization and Mellin transforms

Dirk Kreimer, Erik Panzer

arxiv:1207.6321 v1 · 2012-07-26 · hep-th · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JC2FOATREAEY5KUSH2RTBTSKPR}

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	2026-05-18T03:01:56.576198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b457027120098eaa923ea330ce4a7c6a16ac3bc6707f2286157f5b48018b93

Aliases

arxiv: 1207.6321 · arxiv_version: 1207.6321v1 · doi: 10.48550/arxiv.1207.6321 · pith_short_12: JC2FOATREAEY · pith_short_16: JC2FOATREAEY5KUS · pith_short_8: JC2FOATR

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/JC2FOATREAEY5KUSH2RTBTSKPR \
  | 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: 48b457027120098eaa923ea330ce4a7c6a16ac3bc6707f2286157f5b48018b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af432eea1802c005b7a7354d4fb3308e80e5005602ffbbf01c34a87f17dc88a3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-26T16:31:39Z",
    "title_canon_sha256": "8025ff464ed9289cf399e5111ac065203291af1aa4dd6008d5bbd0d5bb9bc485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6321",
    "kind": "arxiv",
    "version": 1
  }
}