Pith Number

pith:B7EMQHAK

pith:2018:B7EMQHAKVAX4QEOCC4Z2J2V46D

not attested not anchored not stored refs pending

Bernoulli property for homogeneous systems

Adam Kanigowski

arxiv:1812.03209 v1 · 2018-12-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7EMQHAKVAX4QEOCC4Z2J2V46D}

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	2026-05-17T23:58:46.904286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc8c81c0aa82fc811c21733a4eabcf0da37fb33a46325ab898fe14a3355fcc0

Aliases

arxiv: 1812.03209 · arxiv_version: 1812.03209v1 · doi: 10.48550/arxiv.1812.03209 · pith_short_12: B7EMQHAKVAX4 · pith_short_16: B7EMQHAKVAX4QEOC · pith_short_8: B7EMQHAK

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/B7EMQHAKVAX4QEOCC4Z2J2V46D \
  | 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: 0fc8c81c0aa82fc811c21733a4eabcf0da37fb33a46325ab898fe14a3355fcc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b223c3da984f63a1b5469d3a83385ae0a6ec18fffdfcb40afdaadf6d81ef5b9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-07T20:36:52Z",
    "title_canon_sha256": "a857fe11741e7918f7f6208cabe579f107d5afe8114dad29f1074ee0261ba553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03209",
    "kind": "arxiv",
    "version": 1
  }
}