Pith Number

pith:5RYCX2QK

pith:2010:5RYCX2QKEORXEHDH5QDWJLYEZL

not attested not anchored not stored refs pending

Partial Weyl Law for Billiards

Arnd B\"acker, Holger Schanz, Roland Ketzmerick, Steffen L\"ock

arxiv:1010.5093 v2 · 2010-10-25 · quant-ph · 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{5RYCX2QKEORXEHDH5QDWJLYEZL}

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	2026-05-18T04:23:13.071207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec702bea0a23a3721c67ec0764af04caca2a98eb5c0e54b93e709a2d103287de

Aliases

arxiv: 1010.5093 · arxiv_version: 1010.5093v2 · doi: 10.48550/arxiv.1010.5093 · pith_short_12: 5RYCX2QKEORX · pith_short_16: 5RYCX2QKEORXEHDH · pith_short_8: 5RYCX2QK

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/5RYCX2QKEORXEHDH5QDWJLYEZL \
  | 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: ec702bea0a23a3721c67ec0764af04caca2a98eb5c0e54b93e709a2d103287de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beac9f684d285b79a7c166a14b06993c287d643dee5649fc982072624d91596e",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-25T11:43:19Z",
    "title_canon_sha256": "48c48134f0f7c572643d446c52f19c8af48e9ee3a2d9703b92db5bf30d69fe51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5093",
    "kind": "arxiv",
    "version": 2
  }
}