Pith Number

pith:7YUWI3GB

pith:1998:7YUWI3GBZEZEX3JB3YPQHFHMO5

not attested not anchored not stored refs pending

Exact renormalization group equation in presence of rescaling anomaly

C. Fusi, K. Yoshida, S. Arnone

arxiv:hep-th/9812022 v2 · 1998-12-02 · 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{7YUWI3GBZEZEX3JB3YPQHFHMO5}

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	2026-05-18T01:05:55.137163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe29646cc1c9324bed21de1f0394ec7773fc3d92ca4f25061cb56962be35bb75

Aliases

arxiv: hep-th/9812022 · arxiv_version: hep-th/9812022v2 · doi: 10.48550/arxiv.hep-th/9812022 · pith_short_12: 7YUWI3GBZEZE · pith_short_16: 7YUWI3GBZEZEX3JB · pith_short_8: 7YUWI3GB

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/7YUWI3GBZEZEX3JB3YPQHFHMO5 \
  | 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: fe29646cc1c9324bed21de1f0394ec7773fc3d92ca4f25061cb56962be35bb75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd9bb76ff8389bc6f8e1b2dcd772c3a7cbeaf0722b4d9867441f3474289ea49",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-12-02T14:17:45Z",
    "title_canon_sha256": "c61a4e856cc7b36195d2eb9992206095f1c787001fa83cdca273dadda94e6ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9812022",
    "kind": "arxiv",
    "version": 2
  }
}