Pith Number

pith:JLMXMYZT

pith:2017:JLMXMYZTFI752FVGTXDS5REILB

not attested not anchored not stored refs pending

Geometric Ergodicity in a Weighted Sobolev Space

Adithya Devraj, Ioannis Kontoyiannis, Sean Meyn

arxiv:1711.03652 v3 · 2017-11-09 · 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{JLMXMYZTFI752FVGTXDS5REILB}

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	2026-05-17T23:40:20.929582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad97663332a3fdd16a69dc72ec4885840aca4259bd211f7c3415b37b7d6c159

Aliases

arxiv: 1711.03652 · arxiv_version: 1711.03652v3 · doi: 10.48550/arxiv.1711.03652 · pith_short_12: JLMXMYZTFI75 · pith_short_16: JLMXMYZTFI752FVG · pith_short_8: JLMXMYZT

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/JLMXMYZTFI752FVGTXDS5REILB \
  | 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: 4ad97663332a3fdd16a69dc72ec4885840aca4259bd211f7c3415b37b7d6c159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9aa81412145e9a6536fc28558ebcbf5c2998aa02449ec8aa9ea0c79a3a7dc30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-09T23:55:42Z",
    "title_canon_sha256": "c949e282d9335186376e06ec15cad0ec426017bc21f9bcba7d47944020fcdc8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03652",
    "kind": "arxiv",
    "version": 3
  }
}