Pith Number

pith:JLKQ4SV3

pith:2025:JLKQ4SV3XJHHCTVFPFY4TRPXFY

not attested not anchored not stored refs pending

Efficient Stable Population Protocols for Parity and Beyond

Grzegorz Stachowiak, Jakub Kowalski, Leszek G\k{a}sieniec, Tomasz Jurdzi\'nski, Tytus Grodzicki

arxiv:2512.20163 v4 · 2025-12-23 · 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{JLKQ4SV3XJHHCTVFPFY4TRPXFY}

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	2026-06-09T01:05:12.106885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad50e4abbba4e714ea57971c9c5f72e1f1a46577767e918f25c24cdbca5b339

Aliases

arxiv: 2512.20163 · arxiv_version: 2512.20163v4 · doi: 10.48550/arxiv.2512.20163 · pith_short_12: JLKQ4SV3XJHH · pith_short_16: JLKQ4SV3XJHHCTVF · pith_short_8: JLKQ4SV3

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/JLKQ4SV3XJHHCTVFPFY4TRPXFY \
  | 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: 4ad50e4abbba4e714ea57971c9c5f72e1f1a46577767e918f25c24cdbca5b339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76ad3f704e110ade9955e83a606db50dd19ea6dfe0ca0aba929a403458b30197",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2025-12-23T08:41:10Z",
    "title_canon_sha256": "43af72eb0558c2d8aac8bba356381893f1c2d88e4806fdf3e5fc35a28ea32f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.20163",
    "kind": "arxiv",
    "version": 4
  }
}