Pith Number

pith:QB427JKJ

pith:2014:QB427JKJ72KYBODYB7KTD4TQVH

not attested not anchored not stored refs pending

Learning the ergodic decomposition

Eran Shmaya, Nabil Al-Najjar

arxiv:1406.6670 v1 · 2014-06-25 · math.ST · math.PR · 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{QB427JKJ72KYBODYB7KTD4TQVH}

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	2026-05-18T02:49:02.247676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8079afa549fe9580b8780fd531f270a9e8dab7ea2d7285c165644e5c27af6b9e

Aliases

arxiv: 1406.6670 · arxiv_version: 1406.6670v1 · doi: 10.48550/arxiv.1406.6670 · pith_short_12: QB427JKJ72KY · pith_short_16: QB427JKJ72KYBODY · pith_short_8: QB427JKJ

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/QB427JKJ72KYBODYB7KTD4TQVH \
  | 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: 8079afa549fe9580b8780fd531f270a9e8dab7ea2d7285c165644e5c27af6b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883bda2eca0bed97db622cac528a2b64741bec8c496650aa46d4edb09d677345",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-06-25T19:07:52Z",
    "title_canon_sha256": "354d4e48a1eb1b84961c8b738ab5de8965e430ab70066ecd7745a884b187ea35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6670",
    "kind": "arxiv",
    "version": 1
  }
}