Pith Number

pith:5VYTPBMN

pith:2017:5VYTPBMNQQ7E3PVSBHXQBD7AA2

not attested not anchored not stored refs pending

Geometrical Structures for Classical and Quantum Probability Spaces

Alberto Ibort, Florio M. Ciaglia, Giuseppe Marmo

arxiv:1711.09774 v1 · 2017-11-27 · 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{5VYTPBMNQQ7E3PVSBHXQBD7AA2}

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	2026-05-18T00:24:15.180008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7137858d843e4dbeb209ef008fe006a833736f6cbe4d7e8770ae386d0a8b0e

Aliases

arxiv: 1711.09774 · arxiv_version: 1711.09774v1 · doi: 10.48550/arxiv.1711.09774 · pith_short_12: 5VYTPBMNQQ7E · pith_short_16: 5VYTPBMNQQ7E3PVS · pith_short_8: 5VYTPBMN

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/5VYTPBMNQQ7E3PVSBHXQBD7AA2 \
  | 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: ed7137858d843e4dbeb209ef008fe006a833736f6cbe4d7e8770ae386d0a8b0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "423ae00423d97d207cb98c6d3abe5b511dd47788bf8b6274c5453f4f445f9157",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-27T15:43:14Z",
    "title_canon_sha256": "9164a75b15977e093fad3129c7e612d944aaab1ed2981b50eeb683efefe297b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09774",
    "kind": "arxiv",
    "version": 1
  }
}