Pith Number

pith:S6N7TAGJ

pith:2025:S6N7TAGJQJ3NZ3CGVIFNILLBW4

not attested not anchored not stored refs pending

Non-ergodicity for the noisy majority vote process on trees

Fenglin Huang, Jian Ding

arxiv:2501.16202 v1 · 2025-01-27 · 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{S6N7TAGJQJ3NZ3CGVIFNILLBW4}

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	2026-07-05T10:05:56.617394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979bf980c98276dcec46aa0ad42d61b734b0046a52b36dedcb3415839b0d14e8

Aliases

arxiv: 2501.16202 · arxiv_version: 2501.16202v1 · doi: 10.48550/arxiv.2501.16202 · pith_short_12: S6N7TAGJQJ3N · pith_short_16: S6N7TAGJQJ3NZ3CG · pith_short_8: S6N7TAGJ

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/S6N7TAGJQJ3NZ3CGVIFNILLBW4 \
  | 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: 979bf980c98276dcec46aa0ad42d61b734b0046a52b36dedcb3415839b0d14e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dfb312f09782594e592802ef17619bfdd26ec2eb5b1cd042bbdb32855f8df75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-27T16:55:49Z",
    "title_canon_sha256": "1fa0b5025315b8f6dac7c93fb62135aeba0e41a8cb5e29bb63cdb58a5cf29ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16202",
    "kind": "arxiv",
    "version": 1
  }
}