Pith Number

pith:V6Y32PP2

pith:2010:V6Y32PP2G6ACNODRFN6TE6EJEO

not attested not anchored not stored refs pending

Level statistics in arithmetical and pseudo-arithmetical chaos

Fritz Haake, Petr Braun

arxiv:1001.3339 v2 · 2010-01-19 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6Y32PP2G6ACNODRFN6TE6EJEO}

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.

Cited by

1 paper in Pith

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-05-18T02:09:42.333540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb1bd3dfa378026b8712b7d3278892390a78b2c8c5a1a180b631144593570cb

Aliases

arxiv: 1001.3339 · arxiv_version: 1001.3339v2 · doi: 10.48550/arxiv.1001.3339 · pith_short_12: V6Y32PP2G6AC · pith_short_16: V6Y32PP2G6ACNODR · pith_short_8: V6Y32PP2

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/V6Y32PP2G6ACNODRFN6TE6EJEO \
  | 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: afb1bd3dfa378026b8712b7d3278892390a78b2c8c5a1a180b631144593570cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5423b04fcb488383f8c5d109be49b557febffb0de6b727320594c88f099a9837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-01-19T15:58:19Z",
    "title_canon_sha256": "765f1af249aea286cefcadbd458f3cd64c9b6574c2ecf7270e61f036a96de371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3339",
    "kind": "arxiv",
    "version": 2
  }
}