Pith Number

pith:S23HJNAY

pith:2004:S23HJNAYL7VHXI4R4KDILKW6G3

not attested not anchored not stored refs pending

The \beta-function in duality-covariant noncommutative \phi^4-theory

Harald Grosse (Vienna), Raimar Wulkenhaar (Leipzig)

arxiv:hep-th/0402093 v1 · 2004-02-12 · 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{S23HJNAYL7VHXI4R4KDILKW6G3}

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	2026-07-04T16:48:41.540296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b674b4185fea7ba391e28685aade36ed8ee5e1e197b1a66a1baf8ac618c021

Aliases

arxiv: hep-th/0402093 · arxiv_version: hep-th/0402093v1 · doi: 10.48550/arxiv.hep-th/0402093 · pith_short_12: S23HJNAYL7VH · pith_short_16: S23HJNAYL7VHXI4R · pith_short_8: S23HJNAY

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/S23HJNAYL7VHXI4R4KDILKW6G3 \
  | 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: 96b674b4185fea7ba391e28685aade36ed8ee5e1e197b1a66a1baf8ac618c021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dab1bd2d3dcb37390a08807a2f784a827c6c54c1e0998fbee872e07e76c7e1ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-02-12T15:31:44Z",
    "title_canon_sha256": "4131ac221284a16bdbb4556d88aa487d51548fe94cbe4e6ae01d6e288da38cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0402093",
    "kind": "arxiv",
    "version": 1
  }
}