Pith Number

pith:P5VKV4IZ

pith:2010:P5VKV4IZXJGIXIXNAASVHSXBAJ

not attested not anchored not stored refs pending

Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples

C. Schmit, C. Ulysse, E. Bogomolny, I. Gozhyk, J. Zyss, M. Lebental, N. Djellali, R. Dubertrand

arxiv:1009.5591 v2 · 2010-09-28 · physics.optics · math-ph · math.MP · quant-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{P5VKV4IZXJGIXIXNAASVHSXBAJ}

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	2026-05-18T03:23:36.999273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6aaaf119ba4c8ba2ed002553cae1024a6b6861441843ad4c36e195419d0290

Aliases

arxiv: 1009.5591 · arxiv_version: 1009.5591v2 · doi: 10.48550/arxiv.1009.5591 · pith_short_12: P5VKV4IZXJGI · pith_short_16: P5VKV4IZXJGIXIXN · pith_short_8: P5VKV4IZ

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/P5VKV4IZXJGIXIXNAASVHSXBAJ \
  | 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: 7f6aaaf119ba4c8ba2ed002553cae1024a6b6861441843ad4c36e195419d0290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7a3a90bd5b89b7a499fa7447ca93a95c444ad7268c8d3c87c281b6f3814194",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-09-28T14:50:59Z",
    "title_canon_sha256": "1b941031707fb6769541a5767ff12ddf2d744a73efcfdd13d1d200a73e04c0df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5591",
    "kind": "arxiv",
    "version": 2
  }
}