Pith Number

pith:SJZPPKFV

pith:2000:SJZPPKFVZ7PI3UA7NEMXG4YNWK

not attested not anchored not stored refs pending

Exact Renormalization Group Equations. An Introductory Review

C. Bagnuls, C. Bervillier

arxiv:hep-th/0002034 v2 · 2000-02-04 · hep-th · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJZPPKFVZ7PI3UA7NEMXG4YNWK}

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	2026-05-18T04:23:55.044121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9272f7a8b5cfde8dd01f691973730db29e0175d3eb822474c23432939360c1e7

Aliases

arxiv: hep-th/0002034 · arxiv_version: hep-th/0002034v2 · doi: 10.48550/arxiv.hep-th/0002034 · pith_short_12: SJZPPKFVZ7PI · pith_short_16: SJZPPKFVZ7PI3UA7 · pith_short_8: SJZPPKFV

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/SJZPPKFVZ7PI3UA7NEMXG4YNWK \
  | 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: 9272f7a8b5cfde8dd01f691973730db29e0175d3eb822474c23432939360c1e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c86c100910026d7f6489f2a746442af36ec530307b4f08b7494f61f31bceea5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-02-04T11:53:17Z",
    "title_canon_sha256": "baa2f366a1a5e5a2ba2d2bb359956380505a369094e552111a1a5bb8b5456915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0002034",
    "kind": "arxiv",
    "version": 2
  }
}