Pith Number

pith:HNAC4BYF

pith:2013:HNAC4BYFUXFBAQJSEKXTCK4F2A

not attested not anchored not stored refs pending

Kolmogorov-Sinai entropy via separation properties of order-generated sigma-algebras

Alexandra Antoniouk, Karsten Keller, Sergiy Maksymenko

arxiv:1304.4450 v1 · 2013-04-16 · 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{HNAC4BYFUXFBAQJSEKXTCK4F2A}

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	2026-05-18T00:32:36.747114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b402e0705a5ca10413222af312b85d0145cc9814ec2a116c0c2d6f4da3930f3

Aliases

arxiv: 1304.4450 · arxiv_version: 1304.4450v1 · doi: 10.48550/arxiv.1304.4450 · pith_short_12: HNAC4BYFUXFB · pith_short_16: HNAC4BYFUXFBAQJS · pith_short_8: HNAC4BYF

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/HNAC4BYFUXFBAQJSEKXTCK4F2A \
  | 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: 3b402e0705a5ca10413222af312b85d0145cc9814ec2a116c0c2d6f4da3930f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512e4a053b83423d55c06146fdbf626f9717f61acbf9c3d0dd119103574bdbec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-16T13:55:41Z",
    "title_canon_sha256": "99f2623f6689b5bf02b76cf18bf594f8b33fcb2dce71a1e47751dcbc3376f080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4450",
    "kind": "arxiv",
    "version": 1
  }
}