Pith Number

pith:6AMXO3MB

pith:2001:6AMXO3MBZGQO5AMKC676W2MSZO

not attested not anchored not stored refs pending

Ensemble inequivalence: A formal approach

F. Leyvraz, S. Ruffo

arxiv:cond-mat/0112131 v1 · 2001-12-07 · 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{6AMXO3MBZGQO5AMKC676W2MSZO}

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	2026-05-18T01:40:06.218890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f019776d81c9a0ee818a17bfeb6992cb84792a541dc42163a1140e23b272df39

Aliases

arxiv: cond-mat/0112131 · arxiv_version: cond-mat/0112131v1 · doi: 10.48550/arxiv.cond-mat/0112131 · pith_short_12: 6AMXO3MBZGQO · pith_short_16: 6AMXO3MBZGQO5AMK · pith_short_8: 6AMXO3MB

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/6AMXO3MBZGQO5AMKC676W2MSZO \
  | 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: f019776d81c9a0ee818a17bfeb6992cb84792a541dc42163a1140e23b272df39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfacd9cac7b2650aeda15f2847b51fc62700b942d55205d831a2629dd34c6802",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2001-12-07T19:05:20Z",
    "title_canon_sha256": "507ab54929c2b210e1f3601c49592908826eb9d00a1ae3c20799c1bb241157ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0112131",
    "kind": "arxiv",
    "version": 1
  }
}