Pith Number

pith:Y4OPBUYV

pith:2014:Y4OPBUYVIW2XOO7MJSLWXMDAH5

not attested not anchored not stored refs pending

Information percolation and cutoff for the stochastic Ising model

Allan Sly, Eyal Lubetzky

arxiv:1401.6065 v3 · 2014-01-23 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4OPBUYVIW2XOO7MJSLWXMDAH5}

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	2026-05-18T02:00:59.173090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71cf0d31545b5773bec4c976bb0603f7a345c804545d26f18606531cf561e60

Aliases

arxiv: 1401.6065 · arxiv_version: 1401.6065v3 · doi: 10.48550/arxiv.1401.6065 · pith_short_12: Y4OPBUYVIW2X · pith_short_16: Y4OPBUYVIW2XOO7M · pith_short_8: Y4OPBUYV

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/Y4OPBUYVIW2XOO7MJSLWXMDAH5 \
  | 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: c71cf0d31545b5773bec4c976bb0603f7a345c804545d26f18606531cf561e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c080512b8bb318df0c77f08796112c42914dd4fe20b4ce7827db40c6e4fbfa7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-23T17:31:16Z",
    "title_canon_sha256": "39fe7a2705747d96de2a353dcb5400dbcca5b3b7723b8c9c323a867f982b6223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6065",
    "kind": "arxiv",
    "version": 3
  }
}