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Pith Number

pith:MB3TK6LY

pith:2011:MB3TK6LYD2T34ZLTXNITBKLCGW
not attested not anchored not stored refs pending

Disentangling multi-level systems: averaging, correlations and memory

Jeroen Wouters, Valerio Lucarini

arxiv:1110.6113 v1 · 2011-10-27 · cond-mat.stat-mech · math.DS · physics.ao-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MB3TK6LYD2T34ZLTXNITBKLCGW}

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 2026-05-18T03:48:46.528060Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

60773579781ea7be6573bb5130a96235a4d46e06849de82dc6b11d8c830a0492

Aliases

arxiv: 1110.6113 · arxiv_version: 1110.6113v1 · doi: 10.48550/arxiv.1110.6113 · pith_short_12: MB3TK6LYD2T3 · pith_short_16: MB3TK6LYD2T34ZLT · pith_short_8: MB3TK6LY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MB3TK6LYD2T34ZLTXNITBKLCGW \
  | 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: 60773579781ea7be6573bb5130a96235a4d46e06849de82dc6b11d8c830a0492
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "09ea60a943beb6e34d69bbf715e9d61cf9238415b2eb00959987e9550059ee3c",
    "cross_cats_sorted": [
      "math.DS",
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-27T15:23:03Z",
    "title_canon_sha256": "4467a64d11526320db6c5767fc95b2dd7871f9b0a04bdc9180133722ed00ef43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6113",
    "kind": "arxiv",
    "version": 1
  }
}