Pith Number

pith:OQHXB3XH

pith:2015:OQHXB3XHLZNOLBNZH4MZQVKMOV

not attested not anchored not stored refs pending

Ergodic Theorems for Lower Probabilities

Fabio Maccheroni, Massimo Marinacci, Simone Cerreia-Vioglio

arxiv:1508.01329 v1 · 2015-08-06 · math.FA · 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{OQHXB3XHLZNOLBNZH4MZQVKMOV}

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	2026-05-18T01:35:42.877546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740f70eee75e5ae585b93f1998554c754b30ea61590ddb6cfcbe5c969a17294d

Aliases

arxiv: 1508.01329 · arxiv_version: 1508.01329v1 · doi: 10.48550/arxiv.1508.01329 · pith_short_12: OQHXB3XHLZNO · pith_short_16: OQHXB3XHLZNOLBNZ · pith_short_8: OQHXB3XH

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/OQHXB3XHLZNOLBNZH4MZQVKMOV \
  | 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: 740f70eee75e5ae585b93f1998554c754b30ea61590ddb6cfcbe5c969a17294d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45d450d3d006ba3a60ab12bf9f37e365f293af23f6a97dbf3aacea3cd2261ac",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-06T09:02:27Z",
    "title_canon_sha256": "0e69360ebb43491a110371d86d3e83b7b5f3a23bc505770743c115ac00469d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01329",
    "kind": "arxiv",
    "version": 1
  }
}