Pith Number

pith:HX5EC6P2

pith:2013:HX5EC6P2V4IKE7DZH4MBPSA5OV

not attested not anchored not stored refs pending

The Wilson exact renormalization group equation and the anomalous dimension parameter

C. Bervillier

arxiv:1304.4131 v3 · 2013-04-15 · 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{HX5EC6P2V4IKE7DZH4MBPSA5OV}

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	2026-05-18T03:19:04.094767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dfa4179faaf10a27c793f1817c81d754929a573fb0fe5118d104939a921a7a2

Aliases

arxiv: 1304.4131 · arxiv_version: 1304.4131v3 · doi: 10.48550/arxiv.1304.4131 · pith_short_12: HX5EC6P2V4IK · pith_short_16: HX5EC6P2V4IKE7DZ · pith_short_8: HX5EC6P2

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/HX5EC6P2V4IKE7DZH4MBPSA5OV \
  | 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: 3dfa4179faaf10a27c793f1817c81d754929a573fb0fe5118d104939a921a7a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb49325f6f32ded7432d2187cfdb757c2b40cf0ac915ab2a5f0eeea4b8320292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-15T15:29:33Z",
    "title_canon_sha256": "f1df500dd78c1d651975a14c3da805c4603495d8b6974ac50d96e2519bde9026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4131",
    "kind": "arxiv",
    "version": 3
  }
}