Pith Number

pith:H6VMNN3W

pith:2010:H6VMNN3WKWVZHQE4D2JMJJVINE

not attested not anchored not stored refs pending

Fractal Weyl law for three-dimensional chaotic hard-sphere scattering systems

Alexander Ebersp\"acher, G\"unter Wunner, J\"org Main

arxiv:1008.0718 v1 · 2010-08-04 · nlin.CD · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6VMNN3WKWVZHQE4D2JMJJVINE}

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	2026-05-18T04:38:50.305180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3faac6b77655ab93c09c1e92c4a6a86931791d0623b5e0efb7b920634f038e5a

Aliases

arxiv: 1008.0718 · arxiv_version: 1008.0718v1 · doi: 10.48550/arxiv.1008.0718 · pith_short_12: H6VMNN3WKWVZ · pith_short_16: H6VMNN3WKWVZHQE4 · pith_short_8: H6VMNN3W

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/H6VMNN3WKWVZHQE4D2JMJJVINE \
  | 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: 3faac6b77655ab93c09c1e92c4a6a86931791d0623b5e0efb7b920634f038e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c69b61ba1155e7b054685c235d3504c854077d36b519cf1eb263f8a1c86652e",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-08-04T08:55:52Z",
    "title_canon_sha256": "0bf1412350277f7a0a17c77b3741b1749798a45faefd742bab43eef69bb38778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0718",
    "kind": "arxiv",
    "version": 1
  }
}