Pith Number

pith:3JA2DL6R

pith:2016:3JA2DL6RTAI4UQLBHW6QZWCO6G

not attested not anchored not stored refs pending

A Gleason-type theorem for any dimension based on a gambling formulation of Quantum Mechanics

Alessandro Facchini, Alessio Benavoli, Marco Zaffalon

arxiv:1606.03615 v3 · 2016-06-11 · quant-ph · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JA2DL6RTAI4UQLBHW6QZWCO6G}

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	2026-05-18T00:43:39.705739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da41a1afd19811ca41613dbd0cd84ef1a873a41bd7ce9e15e528d80abd424778

Aliases

arxiv: 1606.03615 · arxiv_version: 1606.03615v3 · doi: 10.48550/arxiv.1606.03615 · pith_short_12: 3JA2DL6RTAI4 · pith_short_16: 3JA2DL6RTAI4UQLB · pith_short_8: 3JA2DL6R

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/3JA2DL6RTAI4UQLBHW6QZWCO6G \
  | 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: da41a1afd19811ca41613dbd0cd84ef1a873a41bd7ce9e15e528d80abd424778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e0235fc0be97f26955b32470a77db16fbdb535f9005335ed572a5045390d04",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-11T18:14:27Z",
    "title_canon_sha256": "a1bd40e3998d440fb6b4fad81860e86082ef2fd37e91628be3894320d21b6a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03615",
    "kind": "arxiv",
    "version": 3
  }
}