Pith Number

pith:J7N4X2VI

pith:2013:J7N4X2VIHMLHASPQ4F32NJH4LU

not attested not anchored not stored refs pending

On ergodic properties of nonlinear Markov chains and stochastic McKean-Vlasov equations

Oleg Butkovsky

arxiv:1311.6367 v1 · 2013-11-25 · 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{J7N4X2VIHMLHASPQ4F32NJH4LU}

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	2026-05-18T03:06:14.267091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fdbcbeaa83b167049f0e177a6a4fc5d167e5755542c0b561ebf8fc94b1936e9

Aliases

arxiv: 1311.6367 · arxiv_version: 1311.6367v1 · doi: 10.48550/arxiv.1311.6367 · pith_short_12: J7N4X2VIHMLH · pith_short_16: J7N4X2VIHMLHASPQ · pith_short_8: J7N4X2VI

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/J7N4X2VIHMLHASPQ4F32NJH4LU \
  | 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: 4fdbcbeaa83b167049f0e177a6a4fc5d167e5755542c0b561ebf8fc94b1936e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cbd92f90b542a289c0e89548ddce539a1a6747e3590306db6dfd58aad5b088c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-25T17:17:55Z",
    "title_canon_sha256": "975ef0ce7c45dbc576f5d7693dd50cd5a6d30030aef7fb17df61a0b4ad6f1402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6367",
    "kind": "arxiv",
    "version": 1
  }
}