Pith Number

pith:YZKE5GZZ

pith:2022:YZKE5GZZ52FR7VMH6C2EUMUSM4

not attested not anchored not stored refs pending

The Power of Small Coalitions under Two-Tier Majority on Regular Graphs

David Peleg, Pavel Chebotarev

arxiv:2210.03410 v4 · 2022-10-07 · math.CO · cs.DM · cs.MA · cs.SI · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZKE5GZZ52FR7VMH6C2EUMUSM4}

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	2026-07-05T06:35:45.876462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6544e9b39ee8b1fd587f0b44a32926704740f07cc4ad69017f32160c7d9e3ed

Aliases

arxiv: 2210.03410 · arxiv_version: 2210.03410v4 · doi: 10.48550/arxiv.2210.03410 · pith_short_12: YZKE5GZZ52FR · pith_short_16: YZKE5GZZ52FR7VMH · pith_short_8: YZKE5GZZ

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/YZKE5GZZ52FR7VMH6C2EUMUSM4 \
  | 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: c6544e9b39ee8b1fd587f0b44a32926704740f07cc4ad69017f32160c7d9e3ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e40b57ff708b505907291a6f2c9290ae633c513ea3f12a1d906c928cb36332",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.MA",
      "cs.SI",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-07T08:59:41Z",
    "title_canon_sha256": "7f751697e8df2dc6cdcdfa4e245bdc2be95f53f5db9dd1b26a794a408ea44b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.03410",
    "kind": "arxiv",
    "version": 4
  }
}