Pith Number

pith:5UN4D3SY

pith:2005:5UN4D3SYFOTTMUE2GUJODFTKZF

not attested not anchored not stored refs pending

Topological Non--connectivity Threshold in long-range spin systems

A.Musesti, F.Borgonovi, G.L.Celardo, P.Vachal, R.Trasarti-Battistoni

arxiv:cond-mat/0505209 v2 · 2005-05-09 · 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{5UN4D3SYFOTTMUE2GUJODFTKZF}

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	2026-05-18T02:55:19.475620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1bc1ee582ba736509a3512e1966ac94887a3ab79edb403ca5312654e0ded26

Aliases

arxiv: cond-mat/0505209 · arxiv_version: cond-mat/0505209v2 · doi: 10.48550/arxiv.cond-mat/0505209 · pith_short_12: 5UN4D3SYFOTT · pith_short_16: 5UN4D3SYFOTTMUE2 · pith_short_8: 5UN4D3SY

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/5UN4D3SYFOTTMUE2GUJODFTKZF \
  | 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: ed1bc1ee582ba736509a3512e1966ac94887a3ab79edb403ca5312654e0ded26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "090e1938e9062db89e6ea73d7f17f9e1e05744fbecef22adf0e331ee2229ac07",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-05-09T14:23:19Z",
    "title_canon_sha256": "e19704745ef4b0ed5edd2c345da10b96685890f320ff504d078f1851f9e69e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0505209",
    "kind": "arxiv",
    "version": 2
  }
}