Pith Number

pith:YP2UUKFQ

pith:2012:YP2UUKFQJN2BPKILIJ5AH6YMBS

not attested not anchored not stored refs pending

Operadic construction of the renormalization group

Jean-Louis Loday, Nikolay M. Nikolov

arxiv:1202.1206 v1 · 2012-02-06 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YP2UUKFQJN2BPKILIJ5AH6YMBS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:02:54.900805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f54a28b04b7417a90b427a03fb0c0cacf0b9f8a2b458af5bad356adf8b6e65

Aliases

arxiv: 1202.1206 · arxiv_version: 1202.1206v1 · doi: 10.48550/arxiv.1202.1206 · pith_short_12: YP2UUKFQJN2B · pith_short_16: YP2UUKFQJN2BPKIL · pith_short_8: YP2UUKFQ

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/YP2UUKFQJN2BPKILIJ5AH6YMBS \
  | 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: c3f54a28b04b7417a90b427a03fb0c0cacf0b9f8a2b458af5bad356adf8b6e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e97568d797f083fe0b07aae51d76c9549f002a9115070c017a1bb037350fb7",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-06T17:06:08Z",
    "title_canon_sha256": "692b4e745fc04c78c06aa22a5aa3fdf94f47673e36491e8d43b2f2583903e265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1206",
    "kind": "arxiv",
    "version": 1
  }
}