Pith Number

pith:ZPOO2JJB

pith:2002:ZPOO2JJB334AD4PZFU5XKNUJTQ

not attested not anchored not stored refs pending

Perturbative Renormalization by Flow Equations

Volkhard F. M\"uller

arxiv:hep-th/0208211 v5 · 2002-08-29 · 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{ZPOO2JJB334AD4PZFU5XKNUJTQ}

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	2026-07-04T16:34:52.751377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbdced2521def801f1f92d3b7536899c28e614ba4badf6ffed1351b07307e9db

Aliases

arxiv: hep-th/0208211 · arxiv_version: hep-th/0208211v5 · doi: 10.48550/arxiv.hep-th/0208211 · pith_short_12: ZPOO2JJB334A · pith_short_16: ZPOO2JJB334AD4PZ · pith_short_8: ZPOO2JJB

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/ZPOO2JJB334AD4PZFU5XKNUJTQ \
  | 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: cbdced2521def801f1f92d3b7536899c28e614ba4badf6ffed1351b07307e9db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f1eb8f42b0cb509cb523541029225cba3b4b283f84073f9355c499d57c4f55f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2002-08-29T10:51:41Z",
    "title_canon_sha256": "ee41bf368fca2afc689842d8479c6802a54cbbb6e5dcfbabbe7412ec7098797b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0208211",
    "kind": "arxiv",
    "version": 5
  }
}