Pith Number

pith:6RRJUVYO

pith:2014:6RRJUVYOS42A4JEBQ3EHW67DHW

not attested not anchored not stored refs pending

An exposition to information percolation for the Ising model

Allan Sly, Eyal Lubetzky

arxiv:1501.00128 v1 · 2014-12-31 · 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{6RRJUVYOS42A4JEBQ3EHW67DHW}

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	2026-05-18T02:30:10.059769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4629a570e97340e248186c87b7be33d811aac2189da71ef0f527c7db1377d74

Aliases

arxiv: 1501.00128 · arxiv_version: 1501.00128v1 · doi: 10.48550/arxiv.1501.00128 · pith_short_12: 6RRJUVYOS42A · pith_short_16: 6RRJUVYOS42A4JEB · pith_short_8: 6RRJUVYO

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/6RRJUVYOS42A4JEBQ3EHW67DHW \
  | 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: f4629a570e97340e248186c87b7be33d811aac2189da71ef0f527c7db1377d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a5eb933e802aea8b8d32f1433cc1cd8d57926f7bfae769189810e594ad227d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-31T12:59:23Z",
    "title_canon_sha256": "7a51b8f59a202936ec143a4a6c61104d3c8032c631b6326b219dd8330bdeacf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00128",
    "kind": "arxiv",
    "version": 1
  }
}