Pith Number

pith:LQWMPD6Y

pith:2012:LQWMPD6YGNLUL7DKDRUVO4NEC3

not attested not anchored not stored refs pending

Some Exact Results on Bond Percolation

Robert Shrock, Shu-Chiuan Chang

arxiv:1208.4767 v1 · 2012-08-23 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQWMPD6YGNLUL7DKDRUVO4NEC3}

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	2026-05-18T02:21:00.538369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c2cc78fd8335745fc6a1c695771a416c7150bdb6b2b094663a27b214d216b93

Aliases

arxiv: 1208.4767 · arxiv_version: 1208.4767v1 · doi: 10.48550/arxiv.1208.4767 · pith_short_12: LQWMPD6YGNLU · pith_short_16: LQWMPD6YGNLUL7DK · pith_short_8: LQWMPD6Y

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/LQWMPD6YGNLUL7DKDRUVO4NEC3 \
  | 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: 5c2cc78fd8335745fc6a1c695771a416c7150bdb6b2b094663a27b214d216b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abbbf264ea7dbee86b1b3ba907238a0b86478e84646ec2233c8cac3e550e011a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-08-23T14:29:14Z",
    "title_canon_sha256": "4235c2e9fdb72c46b936262c890f37567b859d6e1683f70e2db9c19888673f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4767",
    "kind": "arxiv",
    "version": 1
  }
}