Pith Number

pith:XQDXXPQZ

pith:2016:XQDXXPQZIQ4GUMLMUDDRIKYOSE

not attested not anchored not stored refs pending

On uniform closeness of local times of Markov chains and i.i.d. sequences

Christophe Gallesco, Diego F. de Bernardini, Serguei Popov

arxiv:1610.02532 v3 · 2016-10-08 · 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{XQDXXPQZIQ4GUMLMUDDRIKYOSE}

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	2026-05-17T23:50:42.981526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc077bbe1944386a316ca0c7142b0e9130e0d82250414542b8e2966baa9ec64b

Aliases

arxiv: 1610.02532 · arxiv_version: 1610.02532v3 · doi: 10.48550/arxiv.1610.02532 · pith_short_12: XQDXXPQZIQ4G · pith_short_16: XQDXXPQZIQ4GUMLM · pith_short_8: XQDXXPQZ

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/XQDXXPQZIQ4GUMLMUDDRIKYOSE \
  | 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: bc077bbe1944386a316ca0c7142b0e9130e0d82250414542b8e2966baa9ec64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d56e5719dd3db3408fe722019ed1cf732cff3821bc1bc5bd18fb35b166cafb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-08T13:48:51Z",
    "title_canon_sha256": "cd70c8a51fc1ce9dea24d073453014b15f12ebad75a26e0d707c7658b27b25b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02532",
    "kind": "arxiv",
    "version": 3
  }
}