Pith Number

pith:WOETA22V

pith:2018:WOETA22VRIOJGWIATIFVPNWLEF

not attested not anchored not stored refs pending

Probabilistic Contraction Analysis of Iterated Random Operators

Abhishek Gupta, Peter Glynn, Rahul Jain

arxiv:1804.01195 v6 · 2018-04-04 · math.PR · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOETA22VRIOJGWIATIFVPNWLEF}

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	2026-07-05T06:53:01.794843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b389306b558a1c9359009a0b57b6cb214a4ef58646bbb0f8208cf979d06e7cb0

Aliases

arxiv: 1804.01195 · arxiv_version: 1804.01195v6 · doi: 10.48550/arxiv.1804.01195 · pith_short_12: WOETA22VRIOJ · pith_short_16: WOETA22VRIOJGWIA · pith_short_8: WOETA22V

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/WOETA22VRIOJGWIATIFVPNWLEF \
  | 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: b389306b558a1c9359009a0b57b6cb214a4ef58646bbb0f8208cf979d06e7cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6bb6eed1927ff4b54be4ca92886af7db50623312039d48cc0716e5a3f62d3d3",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-04T00:10:58Z",
    "title_canon_sha256": "8931bca237e5ddf3ff738e8990afdeca8c2e390bd4795de60dcc49681c0cc102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01195",
    "kind": "arxiv",
    "version": 6
  }
}