Pith Number

pith:BN57ZVNT

pith:2016:BN57ZVNT7TZUUYP5NYWK2B5ZVC

not attested not anchored not stored refs pending

The quantum-to-classical transition: contraction of associative products

A. Ibort, A. Simoni, C. Stornaiolo, F. Ventriglia, G. Marmo, V.I. Man'ko

arxiv:1603.01108 v1 · 2016-03-03 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BN57ZVNT7TZUUYP5NYWK2B5ZVC}

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	2026-05-18T01:16:40.148917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7bfcd5b3fcf34a61fd6e2cad07b9a8bcd61ea03d284860e81768cae2273e5f

Aliases

arxiv: 1603.01108 · arxiv_version: 1603.01108v1 · doi: 10.48550/arxiv.1603.01108 · pith_short_12: BN57ZVNT7TZU · pith_short_16: BN57ZVNT7TZUUYP5 · pith_short_8: BN57ZVNT

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/BN57ZVNT7TZUUYP5NYWK2B5ZVC \
  | 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: 0b7bfcd5b3fcf34a61fd6e2cad07b9a8bcd61ea03d284860e81768cae2273e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3387aba8a4f1174ab3d41db57c5f1601d653594d5f032217bbfe9c6d788db7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-03T14:36:20Z",
    "title_canon_sha256": "852067f77f5d2bc1714c80a1e6d348082c0425edd7278a265deeb2a4a79d0c34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01108",
    "kind": "arxiv",
    "version": 1
  }
}