Pith Number

pith:VKRQ6WUB

pith:2005:VKRQ6WUBJOARS6O7QBHLMBBXLV

not attested not anchored not stored refs pending

The Topological Non-connectivity Threshold in quantum long-range interacting spin systems

F.Borgonovi, G.L.Celardo, R.Trasarti-Battistoni

arxiv:cond-mat/0510079 v2 · 2005-10-04 · 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{VKRQ6WUBJOARS6O7QBHLMBBXLV}

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	2026-05-18T02:46:22.999835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa30f5a814b811979df804eb604375d5d7c089fd383d348979b574abe03ecb4

Aliases

arxiv: cond-mat/0510079 · arxiv_version: cond-mat/0510079v2 · doi: 10.48550/arxiv.cond-mat/0510079 · pith_short_12: VKRQ6WUBJOAR · pith_short_16: VKRQ6WUBJOARS6O7 · pith_short_8: VKRQ6WUB

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/VKRQ6WUBJOARS6O7QBHLMBBXLV \
  | 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: aaa30f5a814b811979df804eb604375d5d7c089fd383d348979b574abe03ecb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4e410d3cfc122c11543dcb727fe2c9ae3e76e8b83b8a43dde1780c97d6b874",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-10-04T12:48:10Z",
    "title_canon_sha256": "0f2f018f1b52ae3beb908771776f01824f00f18e2641e9ee61bb97bed7c945d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0510079",
    "kind": "arxiv",
    "version": 2
  }
}