Pith Number

pith:NKWR24YK

pith:2012:NKWR24YKYHPCYU7WZIIX3NAZG6

not attested not anchored not stored refs pending

Percolation of linear $k$-mers on square lattice: from isotropic through partially ordered to completely aligned state

Nikolai I. Lebovka, Valeri V. Laptev, Yuri Yu. Tarasevich

arxiv:1208.3602 v1 · 2012-08-17 · cond-mat.dis-nn · 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{NKWR24YKYHPCYU7WZIIX3NAZG6}

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	2026-05-18T03:38:34.287692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aad1d730ac1de2c53f6ca117db41937a4906d56774f1e6d28d16eb389aac778

Aliases

arxiv: 1208.3602 · arxiv_version: 1208.3602v1 · doi: 10.48550/arxiv.1208.3602 · pith_short_12: NKWR24YKYHPC · pith_short_16: NKWR24YKYHPCYU7W · pith_short_8: NKWR24YK

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/NKWR24YKYHPCYU7WZIIX3NAZG6 \
  | 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: 6aad1d730ac1de2c53f6ca117db41937a4906d56774f1e6d28d16eb389aac778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e944698f3b49cae7589bc8aa50fe2083c369619e8980fed63b9fea5865f23a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-08-17T14:03:39Z",
    "title_canon_sha256": "a1ac161d353722d73c0e7fbf6b0721e592f5163a54072d4ce00ee937f6daf9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3602",
    "kind": "arxiv",
    "version": 1
  }
}