Pith Number

pith:CXX5OZHS

pith:2015:CXX5OZHS2E7R5ASERUWCOKDLYS

not attested not anchored not stored refs pending

The Modelling of Random Phenomena

Aureli Alabert

arxiv:1508.06612 v1 · 2015-08-26 · 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{CXX5OZHS2E7R5ASERUWCOKDLYS}

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	2026-05-18T01:34:42.563706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15efd764f2d13f1e82448d2c27286bc492476bbec1347b71dea4b4632ad76128

Aliases

arxiv: 1508.06612 · arxiv_version: 1508.06612v1 · doi: 10.48550/arxiv.1508.06612 · pith_short_12: CXX5OZHS2E7R · pith_short_16: CXX5OZHS2E7R5ASE · pith_short_8: CXX5OZHS

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/CXX5OZHS2E7R5ASERUWCOKDLYS \
  | 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: 15efd764f2d13f1e82448d2c27286bc492476bbec1347b71dea4b4632ad76128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845ab18d5a6b9f5be2cd06c716f3ab3a026cce29b77de92fd287b6d66961f220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-26T19:18:44Z",
    "title_canon_sha256": "c018b6cfd5f90bc9c91543c1c9873578c5d5b519a1188aecd82e4291d2483cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06612",
    "kind": "arxiv",
    "version": 1
  }
}