Pith Number

pith:HG76ZYMB

pith:2011:HG76ZYMBE2OKFXRCCFAOQRUURY

not attested not anchored not stored refs pending

Fractal Weyl law for open quantum chaotic maps

Johannes Sjoestrand, Maciej Zworski, St\'ephane Nonnenmacher

arxiv:1105.3128 v1 · 2011-05-16 · math.AP · math.DS · 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{HG76ZYMBE2OKFXRCCFAOQRUURY}

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	2026-05-18T04:22:01.357955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39bfece181269ca2de221140e846948e26ecd5a8720bd5d23321307cd6d8097d

Aliases

arxiv: 1105.3128 · arxiv_version: 1105.3128v1 · doi: 10.48550/arxiv.1105.3128 · pith_short_12: HG76ZYMBE2OK · pith_short_16: HG76ZYMBE2OKFXRC · pith_short_8: HG76ZYMB

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/HG76ZYMBE2OKFXRCCFAOQRUURY \
  | 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: 39bfece181269ca2de221140e846948e26ecd5a8720bd5d23321307cd6d8097d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02153a9757da16f8660d89c548b1c944df55d1da8a44c666e66d12c412e42df7",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-16T15:50:56Z",
    "title_canon_sha256": "cc3113357a3c70cd93274122994fe91725f72f34b4e48355e0c8571b857b0c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3128",
    "kind": "arxiv",
    "version": 1
  }
}