Pith Number

pith:WEP3LQGS

pith:2019:WEP3LQGS4WVGBGK34PM377D6SL

not attested not anchored not stored refs pending

Fixed points with finite mean of the smoothing transform in random environments

Wenming Hong, Xiaoyue Zhang

arxiv:1908.01552 v1 · 2019-08-05 · 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{WEP3LQGS4WVGBGK34PM377D6SL}

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	2026-07-04T23:51:31.598285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11fb5c0d2e5aa60995be3d9bffc7e92ca6f4b233b2de847b18c74ce1dde1254

Aliases

arxiv: 1908.01552 · arxiv_version: 1908.01552v1 · doi: 10.48550/arxiv.1908.01552 · pith_short_12: WEP3LQGS4WVG · pith_short_16: WEP3LQGS4WVGBGK3 · pith_short_8: WEP3LQGS

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/WEP3LQGS4WVGBGK34PM377D6SL \
  | 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: b11fb5c0d2e5aa60995be3d9bffc7e92ca6f4b233b2de847b18c74ce1dde1254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "302648a842e754106a5d7d7f50f95888a6d674d08d84fce4433bd1fba51244d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-05T10:31:40Z",
    "title_canon_sha256": "e2beecba6dd31ba0097b8af949122f2d2943a37c22624299e9141cc86bdb2a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01552",
    "kind": "arxiv",
    "version": 1
  }
}