Pith Number

pith:Z3WIBL7W

pith:2011:Z3WIBL7WEDZQAKW23W35WPSJR4

not attested not anchored not stored refs pending

Law of large numbers for non-elliptic random walks in dynamic random environments

Frank den Hollander, Renato S. dos Santos, Vladas Sidoravicius

arxiv:1103.2805 v3 · 2011-03-14 · 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{Z3WIBL7WEDZQAKW23W35WPSJR4}

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	2026-05-18T03:29:51.322740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceec80aff620f3002adaddb7db3e498f1bc336ace7964f8bdd73bc05a517f78d

Aliases

arxiv: 1103.2805 · arxiv_version: 1103.2805v3 · doi: 10.48550/arxiv.1103.2805 · pith_short_12: Z3WIBL7WEDZQ · pith_short_16: Z3WIBL7WEDZQAKW2 · pith_short_8: Z3WIBL7W

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/Z3WIBL7WEDZQAKW23W35WPSJR4 \
  | 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: ceec80aff620f3002adaddb7db3e498f1bc336ace7964f8bdd73bc05a517f78d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "630d2833e157c5dde7d41955f958c40082af0dd6fcd8ee74bc31e69d00d89960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-14T22:48:54Z",
    "title_canon_sha256": "46e8ebf16b1c3ef1bcb2293299ce2f12f7dd2fc22f22a2d62ded773da16b89a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2805",
    "kind": "arxiv",
    "version": 3
  }
}