Pith Number

pith:BLFUQZ7Z

pith:2007:BLFUQZ7Z3WGHYG3NQLZYENMU5N

not attested not anchored not stored refs pending

Fractal Weyl law for chaotic microcavities: Fresnel's laws imply multifractal scattering

Jan Wiersig, J\"org Main

arxiv:0712.3673 v1 · 2007-12-21 · 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{BLFUQZ7Z3WGHYG3NQLZYENMU5N}

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	2026-07-04T17:07:21.056325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0acb4867f9dd8c7c1b6d82f3823594eb7207f211cb2080f0f2a4f7ea0c59838a

Aliases

arxiv: 0712.3673 · arxiv_version: 0712.3673v1 · doi: 10.48550/arxiv.0712.3673 · pith_short_12: BLFUQZ7Z3WGH · pith_short_16: BLFUQZ7Z3WGHYG3N · pith_short_8: BLFUQZ7Z

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/BLFUQZ7Z3WGHYG3NQLZYENMU5N \
  | 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: 0acb4867f9dd8c7c1b6d82f3823594eb7207f211cb2080f0f2a4f7ea0c59838a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86eed5d8490d793ae1deb4205066d3a11918d9c0e9b3347ddb4949e3f810ecea",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2007-12-21T11:49:27Z",
    "title_canon_sha256": "678eb074479bb6673ee9145afa2cae173796e3d87f6952f7bbca1e39d914618d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3673",
    "kind": "arxiv",
    "version": 1
  }
}