Pith Number

pith:O36EAZOJ

pith:2015:O36EAZOJJR7XWOWF7NO4F7VTYL

not attested not anchored not stored refs pending

Disagreement percolation for the hard-sphere model

Christoph Hofer-Temmel

arxiv:1507.02521 v7 · 2015-07-09 · math.PR · 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{O36EAZOJJR7XWOWF7NO4F7VTYL}

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	2026-05-17T23:41:58.478647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76fc4065c94c7f7b3ac5fb5dc2feb3c2d8ec10ec6aa5b245368c47fd8caa50ef

Aliases

arxiv: 1507.02521 · arxiv_version: 1507.02521v7 · doi: 10.48550/arxiv.1507.02521 · pith_short_12: O36EAZOJJR7X · pith_short_16: O36EAZOJJR7XWOWF · pith_short_8: O36EAZOJ

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/O36EAZOJJR7XWOWF7NO4F7VTYL \
  | 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: 76fc4065c94c7f7b3ac5fb5dc2feb3c2d8ec10ec6aa5b245368c47fd8caa50ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12db5a5926c4c175cf0dfc943fa250462c25c274b0c6ae8bd687de23a6a8e75",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-09T14:17:15Z",
    "title_canon_sha256": "9d22fe7c422c7020d9deffe8d6f72c26d52ecba554fae4946e8288c43448e0d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02521",
    "kind": "arxiv",
    "version": 7
  }
}