Pith Number

pith:S2ANDRY4

pith:2016:S2ANDRY4D7JLZLHOMK6UC2W5TE

not attested not anchored not stored refs pending

Estimation error for occupation time functionals of stationary Markov processes

Jakub Chorowski, Randolf Altmeyer

arxiv:1610.05225 v1 · 2016-10-17 · math.PR · math.ST · 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{S2ANDRY4D7JLZLHOMK6UC2W5TE}

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	2026-05-18T01:02:05.809537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9680d1c71c1fd2bcacee62bd416add991bf8e7093b9895c0202042716dcc8ad2

Aliases

arxiv: 1610.05225 · arxiv_version: 1610.05225v1 · doi: 10.48550/arxiv.1610.05225 · pith_short_12: S2ANDRY4D7JL · pith_short_16: S2ANDRY4D7JLZLHO · pith_short_8: S2ANDRY4

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/S2ANDRY4D7JLZLHOMK6UC2W5TE \
  | 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: 9680d1c71c1fd2bcacee62bd416add991bf8e7093b9895c0202042716dcc8ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76105b5c08eda3cb9bac40c1f8889a639156af88f8823b273e72af02d9be6b4d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-17T17:44:23Z",
    "title_canon_sha256": "90d47952ebc05c77a88b4fd522d5858d5f98a8244f3472fe22779559ecd86128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05225",
    "kind": "arxiv",
    "version": 1
  }
}