Pith Number

pith:RGQHJUAG

pith:2010:RGQHJUAGISU3WENQNWEGBAQKZ7

not attested not anchored not stored refs pending

Connection between the renormalization groups of St\"uckelberg-Petermann and Wilson

Michael Duetsch

arxiv:1012.5604 v2 · 2010-12-27 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGQHJUAGISU3WENQNWEGBAQKZ7}

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	2026-05-18T03:56:46.306869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89a074d00644a9bb11b06d8860820acfd510307528174df8c473aa735f86467a

Aliases

arxiv: 1012.5604 · arxiv_version: 1012.5604v2 · doi: 10.48550/arxiv.1012.5604 · pith_short_12: RGQHJUAGISU3 · pith_short_16: RGQHJUAGISU3WENQ · pith_short_8: RGQHJUAG

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/RGQHJUAGISU3WENQNWEGBAQKZ7 \
  | 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: 89a074d00644a9bb11b06d8860820acfd510307528174df8c473aa735f86467a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "286535da5b5db650590e9db807dee359728bb91030cafaa3a9a5c734660aad24",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-27T12:31:30Z",
    "title_canon_sha256": "c7fb7eb9903fc04fd12a793d1553299d25e2b6d1dc20200519abfc4aedcbae8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5604",
    "kind": "arxiv",
    "version": 2
  }
}