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Pith Number

pith:HYPFDVRF

pith:2019:HYPFDVRF54MW445LKCFEJCU42N
not attested not anchored not stored refs pending

Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos

Lucas S\'a, Pedro Ribeiro, Toma\v{z} Prosen

arxiv:1910.12784 v2 · 2019-10-28 · cond-mat.stat-mech · math-ph · math.MP · nlin.CD · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HYPFDVRF54MW445LKCFEJCU42N}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T01:18:16.317803Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e1e51d625ef196e73ab508a448a9cd342ee9da732a5df138caee5f1c746bb20

Aliases

arxiv: 1910.12784 · arxiv_version: 1910.12784v2 · doi: 10.48550/arxiv.1910.12784 · pith_short_12: HYPFDVRF54MW · pith_short_16: HYPFDVRF54MW445L · pith_short_8: HYPFDVRF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HYPFDVRF54MW445LKCFEJCU42N \
  | 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: 3e1e51d625ef196e73ab508a448a9cd342ee9da732a5df138caee5f1c746bb20
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "065ccf256a23de9b74134d8fc8af23750bf73bd996b12d35efb41bf3fc5c148a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-10-28T16:14:53Z",
    "title_canon_sha256": "2e89782b03dd8c15609630a498a970d45a446851593e62a16fe7a5eca500f33c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.12784",
    "kind": "arxiv",
    "version": 2
  }
}