Pith Number

pith:W44TZA3M

pith:2015:W44TZA3MAMCRZUDMKNLW2E5FWN

not attested not anchored not stored refs pending

Fast $L_2$-approximation of integral-type functionals of Markov processes

Iurii Ganychenko

arxiv:1508.02847 v1 · 2015-08-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W44TZA3MAMCRZUDMKNLW2E5FWN}

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	2026-05-18T01:35:23.670184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7393c836c03051cd06c53576d13a5b35284d888f17730b1d0f9a5c08238a122

Aliases

arxiv: 1508.02847 · arxiv_version: 1508.02847v1 · doi: 10.48550/arxiv.1508.02847 · pith_short_12: W44TZA3MAMCR · pith_short_16: W44TZA3MAMCRZUDM · pith_short_8: W44TZA3M

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/W44TZA3MAMCRZUDMKNLW2E5FWN \
  | 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: b7393c836c03051cd06c53576d13a5b35284d888f17730b1d0f9a5c08238a122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "385477408400df2a3fb22e9233f3e19e9a13e39c252db302990c76ba3f5e6715",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-12T08:40:02Z",
    "title_canon_sha256": "0072ea772c2c257737fc57e28ae4569436d85170bcace21c86c591f911a33fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02847",
    "kind": "arxiv",
    "version": 1
  }
}