Pith Number

pith:7YE6BUO2

pith:2017:7YE6BUO2L6XD4DFKUFLBERN234

not attested not anchored not stored refs pending

Space-Optimal Majority in Population Protocols

Dan Alistarh, James Aspnes, Rati Gelashvili

arxiv:1704.04947 v5 · 2017-04-17 · cs.DC · 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{7YE6BUO2L6XD4DFKUFLBERN234}

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	2026-05-18T00:40:19.113708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe09e0d1da5fae3e0caaa1561245badf0a63fe9fa239bf5e847bd2f2456e2828

Aliases

arxiv: 1704.04947 · arxiv_version: 1704.04947v5 · doi: 10.48550/arxiv.1704.04947 · pith_short_12: 7YE6BUO2L6XD · pith_short_16: 7YE6BUO2L6XD4DFK · pith_short_8: 7YE6BUO2

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/7YE6BUO2L6XD4DFKUFLBERN234 \
  | 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: fe09e0d1da5fae3e0caaa1561245badf0a63fe9fa239bf5e847bd2f2456e2828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6235a91ed62b79c3db2eeda0dc7702b42aaebfbdc9082ccd8192cffb4599f20",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2017-04-17T12:53:02Z",
    "title_canon_sha256": "7a27dfea6bb3fcc87eac64230456835ca9424674314795b14cccbb0db8b275f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04947",
    "kind": "arxiv",
    "version": 5
  }
}