Pith Number

pith:AJUIZMJD

pith:1999:AJUIZMJDHEQJ5COWIOOJSFPLCV

not attested not anchored not stored refs pending

Wegner-Houghton equation and derivative expansion

A. Bonanno, D. Zappala', H. Mohrbach, V. Branchina

arxiv:hep-th/9903173 v1 · 1999-03-20 · 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{AJUIZMJDHEQJ5COWIOOJSFPLCV}

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	2026-07-04T16:14:47.464699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02688cb12339209e89d6439c9915eb154002e14a2fc1e5ae0a075910fabcc88c

Aliases

arxiv: hep-th/9903173 · arxiv_version: hep-th/9903173v1 · doi: 10.48550/arxiv.hep-th/9903173 · pith_short_12: AJUIZMJDHEQJ · pith_short_16: AJUIZMJDHEQJ5COW · pith_short_8: AJUIZMJD

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/AJUIZMJDHEQJ5COWIOOJSFPLCV \
  | 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: 02688cb12339209e89d6439c9915eb154002e14a2fc1e5ae0a075910fabcc88c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bcd8df1db4a0375fea310cd9ba26029e823565da3e633c7f4ebe0fe3d3d1028",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-03-20T11:30:41Z",
    "title_canon_sha256": "3afe91a54c823c9b9d601cb39dd44f423607dfca6a38bc86755a59200e416f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9903173",
    "kind": "arxiv",
    "version": 1
  }
}