Pith Number

pith:4U6MPTGC

pith:2015:4U6MPTGCMC3BTCOGNDDHWTNNTD

not attested not anchored not stored refs pending

Weighted Sampling Without Replacement from Data Streams

Gregory Vorsanger, Rafail Ostrovsky, Vladimir Braverman

arxiv:1506.01747 v1 · 2015-06-04 · 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{4U6MPTGCMC3BTCOGNDDHWTNNTD}

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	2026-05-18T01:55:59.309849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e53cc7ccc260b61989c668c67b4dad98e496afcb991358fb0ffb71a651736687

Aliases

arxiv: 1506.01747 · arxiv_version: 1506.01747v1 · doi: 10.48550/arxiv.1506.01747 · pith_short_12: 4U6MPTGCMC3B · pith_short_16: 4U6MPTGCMC3BTCOG · pith_short_8: 4U6MPTGC

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/4U6MPTGCMC3BTCOGNDDHWTNNTD \
  | 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: e53cc7ccc260b61989c668c67b4dad98e496afcb991358fb0ffb71a651736687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8132bc0f21cd803e8756e907ca2aa55807d7e8a940caa8d9b188aabc36fb935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-06-04T23:19:04Z",
    "title_canon_sha256": "cf06f62c546a6364e1cd1bf59c200a433fbae94270e7e4a7cd01c0f21bac9c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01747",
    "kind": "arxiv",
    "version": 1
  }
}