Pith Number

pith:RHCS2DX2

pith:2012:RHCS2DX2OO7KREAP3FDEOX7KPZ

not attested not anchored not stored refs pending

On Pythagoras' theorem for products of spectral triples

Francesco D'Andrea, Pierre Martinetti

arxiv:1203.3184 v2 · 2012-03-14 · math-ph · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RHCS2DX2OO7KREAP3FDEOX7KPZ}

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	2026-05-18T03:39:14.604086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c52d0efa73bea8900fd946475fea7e4a8451b7226f577ef68baee469969af4

Aliases

arxiv: 1203.3184 · arxiv_version: 1203.3184v2 · doi: 10.48550/arxiv.1203.3184 · pith_short_12: RHCS2DX2OO7K · pith_short_16: RHCS2DX2OO7KREAP · pith_short_8: RHCS2DX2

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/RHCS2DX2OO7KREAP3FDEOX7KPZ \
  | 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: 89c52d0efa73bea8900fd946475fea7e4a8451b7226f577ef68baee469969af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4ce07722338e0f809f9a8e2702b1bffceb63469742e4dd59fa89f7fb988f41",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-14T19:44:51Z",
    "title_canon_sha256": "18f007006fbf6981cbbf003a5870744baf349d9d8c748d9ce5254a3822d9d8d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3184",
    "kind": "arxiv",
    "version": 2
  }
}