Pith Number

pith:VF57BQW4

pith:2000:VF57BQW4MS2DDLDGTKHAPF2PWS

not attested not anchored not stored refs pending

Noncommutative geometry and physics: a review of selected recent results

Leonardo Castellani

arxiv:hep-th/0005210 v2 · 2000-05-23 · 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{VF57BQW4MS2DDLDGTKHAPF2PWS}

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	2026-07-04T16:20:47.084822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97bf0c2dc64b431ac669a8e07974fb490d8c92a8f1ff7d6d45cc82db22576d9

Aliases

arxiv: hep-th/0005210 · arxiv_version: hep-th/0005210v2 · doi: 10.48550/arxiv.hep-th/0005210 · pith_short_12: VF57BQW4MS2D · pith_short_16: VF57BQW4MS2DDLDG · pith_short_8: VF57BQW4

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/VF57BQW4MS2DDLDGTKHAPF2PWS \
  | 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: a97bf0c2dc64b431ac669a8e07974fb490d8c92a8f1ff7d6d45cc82db22576d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aef90d9858a375997ec5df5f93689ba53269d8f8b8f6b1823016ffb2fb41693",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-05-23T16:19:28Z",
    "title_canon_sha256": "fe0c6ba5048bc4a363fc6f1ad6e88b5c33e0fc206e3cc2394bb96d0010963125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0005210",
    "kind": "arxiv",
    "version": 2
  }
}