Pith Number

pith:7D3GK4MF

pith:2016:7D3GK4MF2RQAS66H56ARQL5PHV

not attested not anchored not stored refs pending

Quantum isometries, noncommutative spheres, and related integrals

Teodor Banica

arxiv:1601.02159 v2 · 2016-01-09 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7D3GK4MF2RQAS66H56ARQL5PHV}

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	2026-05-18T00:46:32.071372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f6657185d460097bc7ef81182faf3d682e94f30c033285d342419251e76cd1

Aliases

arxiv: 1601.02159 · arxiv_version: 1601.02159v2 · doi: 10.48550/arxiv.1601.02159 · pith_short_12: 7D3GK4MF2RQA · pith_short_16: 7D3GK4MF2RQAS66H · pith_short_8: 7D3GK4MF

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/7D3GK4MF2RQAS66H56ARQL5PHV \
  | 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: f8f6657185d460097bc7ef81182faf3d682e94f30c033285d342419251e76cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95838bb2993a9c86ae751b585508a0c59a9f665b85d02ec6a6457b1542754c3b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-01-09T21:38:04Z",
    "title_canon_sha256": "d778fc61b3674faa0e08331e8a47302c80e3baaa9450a6b30f5ad2dae0f59727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02159",
    "kind": "arxiv",
    "version": 2
  }
}