Pith Number

pith:LL467GZ5

pith:2017:LL467GZ53HTYS3QQLF3XGS2YCI

not attested not anchored not stored refs pending

Exact number of ergodic invariant measures for Bratteli diagrams

J. Kwiatkowski, O. Karpel, S. Bezuglyi

arxiv:1709.00055 v3 · 2017-08-31 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LL467GZ53HTYS3QQLF3XGS2YCI}

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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	2026-05-17T23:48:06.887310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af9ef9b3dd9e7896e105977734b58120bf935779d9ac975b401b2086e4d6f36

Aliases

arxiv: 1709.00055 · arxiv_version: 1709.00055v3 · doi: 10.48550/arxiv.1709.00055 · pith_short_12: LL467GZ53HTY · pith_short_16: LL467GZ53HTYS3QQ · pith_short_8: LL467GZ5

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/LL467GZ53HTYS3QQLF3XGS2YCI \
  | 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: 5af9ef9b3dd9e7896e105977734b58120bf935779d9ac975b401b2086e4d6f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b995d048ac20c77e94cf81a3b983cd24a836fc729341b1a27abf5ffb32acbe",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-31T19:45:45Z",
    "title_canon_sha256": "edbbf017ec18e13e3113d67875c39614110fbe250cb199d65419c79ccc30a506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00055",
    "kind": "arxiv",
    "version": 3
  }
}