Pith Number

pith:K3AOUNUU

pith:2025:K3AOUNUUYUMO6OAJNICARMSHBI

not attested not anchored not stored refs pending

Majority dynamics on finite trees

Georgii Zakharov, Itai Benjamini, Maksim Zhukovskii

arxiv:2507.04714 v1 · 2025-07-07 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3AOUNUUYUMO6OAJNICARMSHBI}

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	2026-07-05T11:32:52.676110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c0ea3694c518ef38096a0408b2470a3e864284e0eecad50f76ed4ac6e25259

Aliases

arxiv: 2507.04714 · arxiv_version: 2507.04714v1 · doi: 10.48550/arxiv.2507.04714 · pith_short_12: K3AOUNUUYUMO · pith_short_16: K3AOUNUUYUMO6OAJ · pith_short_8: K3AOUNUU

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/K3AOUNUUYUMO6OAJNICARMSHBI \
  | 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: 56c0ea3694c518ef38096a0408b2470a3e864284e0eecad50f76ed4ac6e25259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd5aa701579cfa6dbafe86c49228754943ba9909c173d744980b68b8a4abde0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-07T07:11:40Z",
    "title_canon_sha256": "3660d5b2d4a5dea97e60f0cfef5b4c607b2987a6d99c2120b24bd8c18306c6b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04714",
    "kind": "arxiv",
    "version": 1
  }
}