Pith Number

pith:CUV23QCE

pith:2018:CUV23QCEQVJDSYVRJJUYU4NJV7

not attested not anchored not stored refs pending

Markov chains with heavy-tailed increments and asymptotically zero drift

Andrew R. Wade, Dimitri Petritis, Mikhail V. Menshikov, Nicholas Georgiou

arxiv:1806.07166 v1 · 2018-06-19 · 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{CUV23QCEQVJDSYVRJJUYU4NJV7}

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	2026-05-17T23:42:48.966727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

152badc04485523962b14a698a71a9afda02083ec0ed9b81bc87b26ed933cd9c

Aliases

arxiv: 1806.07166 · arxiv_version: 1806.07166v1 · doi: 10.48550/arxiv.1806.07166 · pith_short_12: CUV23QCEQVJD · pith_short_16: CUV23QCEQVJDSYVR · pith_short_8: CUV23QCE

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/CUV23QCEQVJDSYVRJJUYU4NJV7 \
  | 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: 152badc04485523962b14a698a71a9afda02083ec0ed9b81bc87b26ed933cd9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee4489bb92d623728a25937acb88a89f63a1913b6c4d59e6861eb8f421e9f54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-19T11:42:01Z",
    "title_canon_sha256": "bb5144c6607d39c0bd9d0d8f1d6828f444307866a477d5c02880be8637aca853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07166",
    "kind": "arxiv",
    "version": 1
  }
}