Pith Number

pith:LZ4BTFAU

pith:2010:LZ4BTFAUOAOKVC7WZQKQM5TIZI

not attested not anchored not stored refs pending

Computational limits to nonparametric estimation for ergodic processes

Hayato Takahashi

arxiv:1002.1559 v2 · 2010-02-08 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZ4BTFAUOAOKVC7WZQKQM5TIZI}

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	2026-05-18T00:57:57.898470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e78199414701caa8bf6cc15067668ca2f38ce5e6e3eba4153aff78f48dad0de

Aliases

arxiv: 1002.1559 · arxiv_version: 1002.1559v2 · doi: 10.48550/arxiv.1002.1559 · pith_short_12: LZ4BTFAUOAOK · pith_short_16: LZ4BTFAUOAOKVC7W · pith_short_8: LZ4BTFAU

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/LZ4BTFAUOAOKVC7WZQKQM5TIZI \
  | 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: 5e78199414701caa8bf6cc15067668ca2f38ce5e6e3eba4153aff78f48dad0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5601a4d716ec93d90cd8a355fd343861b76925c29d8e98b1f229afd92cc3a7c6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-02-08T09:56:37Z",
    "title_canon_sha256": "d8275d83b0989247130fb6a54d0211b0494d1ee7fc62764cdb2f9dfb396728a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1559",
    "kind": "arxiv",
    "version": 2
  }
}