Pith Number

pith:L653Y5GM

pith:2016:L653Y5GMATWSVDADX2YPPVDFWK

not attested not anchored not stored refs pending

An asymptotically optimal, online algorithm for weighted random sampling with replacement

Micha{\l} Startek

arxiv:1611.00532 v1 · 2016-11-02 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L653Y5GMATWSVDADX2YPPVDFWK}

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.

Cited by

1 paper in Pith

StreamSampling.jl: Efficient Sampling from Data Streams in Julia

Receipt and verification

First computed	2026-05-18T01:00:32.517480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbbbc74cc04ed2a8c03beb0f7d465b2a0ada87f12ccca2df902806293bb0972

Aliases

arxiv: 1611.00532 · arxiv_version: 1611.00532v1 · doi: 10.48550/arxiv.1611.00532 · pith_short_12: L653Y5GMATWS · pith_short_16: L653Y5GMATWSVDAD · pith_short_8: L653Y5GM

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/L653Y5GMATWSVDADX2YPPVDFWK \
  | 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: 5fbbbc74cc04ed2a8c03beb0f7d465b2a0ada87f12ccca2df902806293bb0972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f5354d89f366ef7bdaa0c3a51d8b0371e34bd8c3945ac9b79efbaa82b23dd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-02T10:20:21Z",
    "title_canon_sha256": "7b298cb88f6d46070f2d8a050cab7fc05fe0260908ab5b5aa7581c4df2a7fb3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00532",
    "kind": "arxiv",
    "version": 1
  }
}