Pith Number

pith:7OQ7IOPF

pith:2019:7OQ7IOPFKOLEMJCAKSU5WALNGF

not attested not anchored not stored refs pending

Leader Election Requires Logarithmic Time in Population Protocols

Toshimitsu Masuzawa, Yuichi Sudo

arxiv:1906.11121 v4 · 2019-06-25 · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OQ7IOPFKOLEMJCAKSU5WALNGF}

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	2026-07-05T00:16:35.422550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba1f439e5539646244054a9db016d31713d4dc8fcf777e6354a86dbd6b737ab

Aliases

arxiv: 1906.11121 · arxiv_version: 1906.11121v4 · doi: 10.48550/arxiv.1906.11121 · pith_short_12: 7OQ7IOPFKOLE · pith_short_16: 7OQ7IOPFKOLEMJCA · pith_short_8: 7OQ7IOPF

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/7OQ7IOPFKOLEMJCAKSU5WALNGF \
  | 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: fba1f439e5539646244054a9db016d31713d4dc8fcf777e6354a86dbd6b737ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "046cf024fbb89b8e41a55cbb01b1d868b29e9ce9534147084f466a960348e3ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2019-06-25T14:50:19Z",
    "title_canon_sha256": "f78d57e85000cdbd217b6eafb5b4d3e85a5a8cd2bd71922005a561e065397a8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11121",
    "kind": "arxiv",
    "version": 4
  }
}