Pith Number

pith:FX4OTK54

pith:2019:FX4OTK54HSYSG2IB63P3FNOJYO

not attested not anchored not stored refs pending

Quantitative Weak Convergence for Discrete Stochastic Processes

Michael I. Jordan, Peter L. Bartlett, Xiang Cheng

arxiv:1902.00832 v2 · 2019-02-03 · math.ST · cs.LG · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FX4OTK54HSYSG2IB63P3FNOJYO}

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	2026-05-17T23:41:45.185002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df8e9abbc3cb1236901f6dfb2b5c9c3b828fede9edbea970b8bf7462945b182

Aliases

arxiv: 1902.00832 · arxiv_version: 1902.00832v2 · doi: 10.48550/arxiv.1902.00832 · pith_short_12: FX4OTK54HSYS · pith_short_16: FX4OTK54HSYSG2IB · pith_short_8: FX4OTK54

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/FX4OTK54HSYSG2IB63P3FNOJYO \
  | 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: 2df8e9abbc3cb1236901f6dfb2b5c9c3b828fede9edbea970b8bf7462945b182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ae0048ba607f3decdb90677cf28ad922d1bb66131e6382dbd9af052341226d1",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-02-03T02:42:59Z",
    "title_canon_sha256": "0a465b6e5936e7c728a8a0f5104e3501090f6ab6d53eaf8979d722c4e4abff76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00832",
    "kind": "arxiv",
    "version": 2
  }
}