Pith Number

pith:36U5O7Y7

pith:2005:36U5O7Y73PAKRTAIJDZEBT5SNW

not attested not anchored not stored refs pending

Fractal Weyl laws in discrete models of chaotic scattering

Maciej Zworski, St\'ephane Nonnenmacher (SPhT)

arxiv:math-ph/0506045 v2 · 2005-06-17 · math-ph · math.MP · 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{36U5O7Y73PAKRTAIJDZEBT5SNW}

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	2026-05-18T01:08:51.756229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa9d77f1fdbc0a8cc0848f240cfb26db93cb740db27b28764f9d266740a707a

Aliases

arxiv: math-ph/0506045 · arxiv_version: math-ph/0506045v2 · doi: 10.48550/arxiv.math-ph/0506045 · pith_short_12: 36U5O7Y73PAK · pith_short_16: 36U5O7Y73PAKRTAI · pith_short_8: 36U5O7Y7

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/36U5O7Y73PAKRTAIJDZEBT5SNW \
  | 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: dfa9d77f1fdbc0a8cc0848f240cfb26db93cb740db27b28764f9d266740a707a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb91bda7b658e8a2e31b5b3113fbc18d0693604cdec2fb8f7d4eafaa18c20b52",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-06-17T14:23:39Z",
    "title_canon_sha256": "d33574ffeb7ff5c3da46fc59ad1ad0574ee27914ec23429f641ceff50fa7d3c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0506045",
    "kind": "arxiv",
    "version": 2
  }
}