Pith Number

pith:ZN2KBYTM

pith:2013:ZN2KBYTMXPHTI7KWXH2VCO37QO

not attested not anchored not stored refs pending

Joint probability densities of level spacing ratios in random matrices

E. Bogomolny, E. Vivo, O. Giraud, P. Vivo, Y. Y. Atas

arxiv:1305.7156 v1 · 2013-05-30 · quant-ph · cond-mat.stat-mech · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZN2KBYTMXPHTI7KWXH2VCO37QO}

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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

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-05-18T02:56:12.698789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb74a0e26cbbcf347d56b9f5513b7f83a44169cf6ac1dde82221f2eafac24bac

Aliases

arxiv: 1305.7156 · arxiv_version: 1305.7156v1 · doi: 10.48550/arxiv.1305.7156 · pith_short_12: ZN2KBYTMXPHT · pith_short_16: ZN2KBYTMXPHTI7KW · pith_short_8: ZN2KBYTM

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/ZN2KBYTMXPHTI7KWXH2VCO37QO \
  | 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: cb74a0e26cbbcf347d56b9f5513b7f83a44169cf6ac1dde82221f2eafac24bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e030454f14c54efa0ed4f59d4380fde9990bb4fb26b9ba56db61f2e060a8dc3e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-05-30T16:41:05Z",
    "title_canon_sha256": "e3b0534e3d689a4d5bbaba4863bfc2df5877ca49b72fc5f6c321c3fb88bd1e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7156",
    "kind": "arxiv",
    "version": 1
  }
}