Pith Number

pith:52GDPVIZ

pith:2003:52GDPVIZWGJI7VIW2KLSAPBFAR

not attested not anchored not stored refs pending

Weyl formulas for annular ray-splitting billiards

Antoine Folacci, Yves D\'ecanini

arxiv:nlin/0305034 v1 · 2003-05-20 · nlin.CD · cond-mat · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52GDPVIZWGJI7VIW2KLSAPBFAR}

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	2026-07-04T14:48:40.423084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8c37d519b1928fd516d297203c25047c8a1f9bdf39b7dcfc4995ed876af384

Aliases

arxiv: nlin/0305034 · arxiv_version: nlin/0305034v1 · doi: 10.48550/arxiv.nlin/0305034 · pith_short_12: 52GDPVIZWGJI · pith_short_16: 52GDPVIZWGJI7VIW · pith_short_8: 52GDPVIZ

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/52GDPVIZWGJI7VIW2KLSAPBFAR \
  | 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: ee8c37d519b1928fd516d297203c25047c8a1f9bdf39b7dcfc4995ed876af384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad58e5a28bda8bb68d2a6866a5e7a9eb5a268e39482c18f578674bb001497616",
    "cross_cats_sorted": [
      "cond-mat",
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2003-05-20T12:35:46Z",
    "title_canon_sha256": "aa0bc56db7bdd168f63001748d95daf8527408b1b2dec4e765a7b4c22235bec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0305034",
    "kind": "arxiv",
    "version": 1
  }
}