Pith Number

pith:B24BFSY4

pith:2016:B24BFSY4X66WTLVFJT74ENS3AL

not attested not anchored not stored refs pending

Time and Space Optimal Counting in Population Protocols

Devan Sohier, James Aspnes (YALE), Janna Burman (LRI), Joffroy Beauquier (LRI)

arxiv:1611.07238 v1 · 2016-11-22 · cs.DC · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B24BFSY4X66WTLVFJT74ENS3AL}

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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

Broadcast Distributed Voting Algorithm in Population Protocols

Receipt and verification

First computed	2026-05-18T00:57:24.481993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb812cb1cbfbd69aea54cffc2365b02f3ba05b58c12344562dc2ced3a545aeb

Aliases

arxiv: 1611.07238 · arxiv_version: 1611.07238v1 · doi: 10.48550/arxiv.1611.07238 · pith_short_12: B24BFSY4X66W · pith_short_16: B24BFSY4X66WTLVF · pith_short_8: B24BFSY4

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/B24BFSY4X66WTLVFJT74ENS3AL \
  | 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: 0eb812cb1cbfbd69aea54cffc2365b02f3ba05b58c12344562dc2ced3a545aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce5f4ea34517820c355fa8d5b187cd678ec1fd3282b8cc512f51b1159ccf73b",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2016-11-22T10:35:28Z",
    "title_canon_sha256": "b4296f1f06f2e6d800c75337188cf12524331310226556be78fff6d7f8309a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07238",
    "kind": "arxiv",
    "version": 1
  }
}