Pith Number

pith:5HQT7UPT

pith:2018:5HQT7UPTQBHTHDFWR5P2WP27KA

not attested not anchored not stored refs pending

Mathematical Foundations of Probability Theory

Gane Samb Lo

arxiv:1808.01713 v1 · 2018-08-06 · 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{5HQT7UPTQBHTHDFWR5P2WP27KA}

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	2026-05-18T00:08:52.067142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e13fd1f3804f338cb68f5fab3f5f5014eae3c40ba067aad011e2b72aaf18db

Aliases

arxiv: 1808.01713 · arxiv_version: 1808.01713v1 · doi: 10.48550/arxiv.1808.01713 · pith_short_12: 5HQT7UPTQBHT · pith_short_16: 5HQT7UPTQBHTHDFW · pith_short_8: 5HQT7UPT

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/5HQT7UPTQBHTHDFWR5P2WP27KA \
  | 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: e9e13fd1f3804f338cb68f5fab3f5f5014eae3c40ba067aad011e2b72aaf18db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2491b6fc70ab800e77592d6b300f4c5e591b3e9a1fe60f84f8e0602eaec07b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-06T02:24:02Z",
    "title_canon_sha256": "5b3c3ff968f51fb3a982dba0ddcd6b5a91bd1e139319facd8d137e1a78f0fe87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01713",
    "kind": "arxiv",
    "version": 1
  }
}