Pith Number

pith:GM5T3E6Y

pith:2020:GM5T3E6YI4QGCCTY5SBRAK6EH3

not attested not anchored not stored refs pending

Lagrangian and Hamiltonian Mechanics for Probabilities on the Statistical Manifold

Giovanni Pistone, Goffredo Chirco, Luigi Malag\`o

arxiv:2009.09431 v2 · 2020-09-20 · math.ST · cs.IT · hep-th · math.IT · math.OC · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GM5T3E6YI4QGCCTY5SBRAK6EH3}

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	2026-07-05T05:02:22.500168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333b3d93d84720610a78ec83102bc43ecaf15c494c4f1ee00e58be8c5aad4e2f

Aliases

arxiv: 2009.09431 · arxiv_version: 2009.09431v2 · doi: 10.48550/arxiv.2009.09431 · pith_short_12: GM5T3E6YI4QG · pith_short_16: GM5T3E6YI4QGCCTY · pith_short_8: GM5T3E6Y

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/GM5T3E6YI4QGCCTY5SBRAK6EH3 \
  | 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: 333b3d93d84720610a78ec83102bc43ecaf15c494c4f1ee00e58be8c5aad4e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e28f2612aa6eb6af18b7d4c054dd030aa7c257c9279d7f7f3e4bbfb3712aae",
    "cross_cats_sorted": [
      "cs.IT",
      "hep-th",
      "math.IT",
      "math.OC",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-09-20T14:03:13Z",
    "title_canon_sha256": "4381000fef3380ee1e8d156e288646c20575d3a3ab9419ce143cb3d454bdd8ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09431",
    "kind": "arxiv",
    "version": 2
  }
}