Pith Number

pith:LS45FNDY

pith:2011:LS45FNDYWR5UEN7FVVX4O44Q33

not attested not anchored not stored refs pending

Non-Local Product Rules for Percolation

A. A. Moreira, J. S. Andrade Jr, S. D. S. Reis

arxiv:1112.0557 v1 · 2011-12-02 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LS45FNDYWR5UEN7FVVX4O44Q33}

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	2026-05-18T01:59:17.710945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb9d2b478b47b4237e5ad6fc77390deee73542ac03c43d38b1daaa634d4673d

Aliases

arxiv: 1112.0557 · arxiv_version: 1112.0557v1 · doi: 10.48550/arxiv.1112.0557 · pith_short_12: LS45FNDYWR5U · pith_short_16: LS45FNDYWR5UEN7F · pith_short_8: LS45FNDY

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/LS45FNDYWR5UEN7FVVX4O44Q33 \
  | 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: 5cb9d2b478b47b4237e5ad6fc77390deee73542ac03c43d38b1daaa634d4673d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90f56601174c741cec988f854e5ae237c1a4998a2d9c7d1f963c782857ade6f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-02T20:34:16Z",
    "title_canon_sha256": "5537a46a080fbfd8fa2d1d8039e7620286dbe40bb67082e4fbeb87c78f82ee56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0557",
    "kind": "arxiv",
    "version": 1
  }
}