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Pith Number

pith:VHYSIRJ4

pith:2011:VHYSIRJ4MNVLYZ663ZPJTO4PL3
not attested not anchored not stored refs pending

Quantum echoes in classical and semiclassical statistical treatments

A. Plastino, F. Pennini

arxiv:1111.3829 v1 · 2011-11-16 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VHYSIRJ4MNVLYZ663ZPJTO4PL3}

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 2026-05-18T04:08:12.993655Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9f124453c636abc67dede5e99bb8f5ef75a91f81af84e425fb48b97674029f1

Aliases

arxiv: 1111.3829 · arxiv_version: 1111.3829v1 · doi: 10.48550/arxiv.1111.3829 · pith_short_12: VHYSIRJ4MNVL · pith_short_16: VHYSIRJ4MNVLYZ66 · pith_short_8: VHYSIRJ4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VHYSIRJ4MNVLYZ663ZPJTO4PL3 \
  | 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: a9f124453c636abc67dede5e99bb8f5ef75a91f81af84e425fb48b97674029f1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "82f1c10696032ef3d4c4714a2e0fbe49282a18f639fd99b51f253e38f23982fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-11-16T15:13:02Z",
    "title_canon_sha256": "c6c780d0ee9484b5e5d691f8c54a1968b9827537e7395034297eb148e362db65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3829",
    "kind": "arxiv",
    "version": 1
  }
}