Pith Number

pith:LSYSLOH7

pith:2012:LSYSLOH7FWHQED4YZEKIM3XPGH

not attested not anchored not stored refs pending

Percolation of hard disks

David Aristoff

arxiv:1207.2136 v4 · 2012-07-09 · 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{LSYSLOH7FWHQED4YZEKIM3XPGH}

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	2026-05-18T02:45:12.803081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb125b8ff2d8f020f98c914866eef31d96d50837c3afc24547edfc975c6acbf

Aliases

arxiv: 1207.2136 · arxiv_version: 1207.2136v4 · doi: 10.48550/arxiv.1207.2136 · pith_short_12: LSYSLOH7FWHQ · pith_short_16: LSYSLOH7FWHQED4Y · pith_short_8: LSYSLOH7

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/LSYSLOH7FWHQED4YZEKIM3XPGH \
  | 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: 5cb125b8ff2d8f020f98c914866eef31d96d50837c3afc24547edfc975c6acbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d66769a010a8d573bcedcc3062c4f449f78b5b6d6767d7cad5918b021eaf16f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-09T19:37:36Z",
    "title_canon_sha256": "e03668d20a0b30db68955bd401fb666bd7ab31208b07785b42977f350d21c91c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2136",
    "kind": "arxiv",
    "version": 4
  }
}