Pith Number

pith:HVISIJGH

pith:2010:HVISIJGHZIRX7TWAR6DWP5HWJI

not attested not anchored not stored refs pending

Probability of graphs with large spectral gap by multicanonical Monte Carlo

Nen Saito, Yukito Iba

arxiv:1003.1023 v1 · 2010-03-04 · cond-mat.stat-mech · cond-mat.dis-nn · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVISIJGHZIRX7TWAR6DWP5HWJI}

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	2026-05-18T02:08:46.429925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d512424c7ca237fcec08f8767f4f64a38ae7c545fc94866b98a27f9ebf22ab2

Aliases

arxiv: 1003.1023 · arxiv_version: 1003.1023v1 · doi: 10.48550/arxiv.1003.1023 · pith_short_12: HVISIJGHZIRX · pith_short_16: HVISIJGHZIRX7TWA · pith_short_8: HVISIJGH

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/HVISIJGHZIRX7TWAR6DWP5HWJI \
  | 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: 3d512424c7ca237fcec08f8767f4f64a38ae7c545fc94866b98a27f9ebf22ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843af7326e4e61f5fa03ca0f525e860beb25f51477a823582dca755e1107467f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-03-04T12:03:06Z",
    "title_canon_sha256": "835fb7da29ce614113c06b9df117b9b81ea7e6ffbe7c14c00be874af63db671d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1023",
    "kind": "arxiv",
    "version": 1
  }
}