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Pith Number

pith:3F66HFA3

pith:2013:3F66HFA3C72WDJ5OHK5EIAHJIL
not attested not anchored not stored refs pending

Multifractal Analysis of Ergodic Averages in Some Nonuniformly Hyperbolic Systems

Ercai Chen, Xiaoyao Zhou

arxiv:1310.2348 v1 · 2013-10-09 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3F66HFA3C72WDJ5OHK5EIAHJIL}

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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 2026-05-18T03:10:57.205045Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d97de3941b17f561a7ae3aba4400e942c977862214871e21bc03752d92a17eea

Aliases

arxiv: 1310.2348 · arxiv_version: 1310.2348v1 · doi: 10.48550/arxiv.1310.2348 · pith_short_12: 3F66HFA3C72W · pith_short_16: 3F66HFA3C72WDJ5O · pith_short_8: 3F66HFA3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3F66HFA3C72WDJ5OHK5EIAHJIL \
  | 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: d97de3941b17f561a7ae3aba4400e942c977862214871e21bc03752d92a17eea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "40edeee85669168471034c0f9adbb5a5476fd99b8d7280fbd1c06d5f4d151841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-09T05:04:47Z",
    "title_canon_sha256": "1ff84e79076922434d90aa968d7db670d143b3d3f58038968ed04d075cdb800a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2348",
    "kind": "arxiv",
    "version": 1
  }
}