Pith Number

pith:3U327FDL

pith:2011:3U327FDLTJ3QBX7MBMNRNHZPDL

not attested not anchored not stored refs pending

Application of a trace formula to the spectra of flat three-dimensional dielectric resonators

A. Richter, B. Dietz, E. Bogomolny, M. Miski-Oglu, S. Bittner

arxiv:1111.1968 v2 · 2011-11-08 · 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{3U327FDLTJ3QBX7MBMNRNHZPDL}

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	2026-05-18T04:03:19.059539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd37af946b9a7700dfec0b1b169f2f1acfd134c269123dbc86aeceb7bddb5d95

Aliases

arxiv: 1111.1968 · arxiv_version: 1111.1968v2 · doi: 10.48550/arxiv.1111.1968 · pith_short_12: 3U327FDLTJ3Q · pith_short_16: 3U327FDLTJ3QBX7M · pith_short_8: 3U327FDL

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/3U327FDLTJ3QBX7MBMNRNHZPDL \
  | 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: dd37af946b9a7700dfec0b1b169f2f1acfd134c269123dbc86aeceb7bddb5d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b021242171a793ceda11b63df1d80d4a0febc39856342dac43fbbfb8449063f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-11-08T16:46:20Z",
    "title_canon_sha256": "8ef189ac66f2d894b6725c8744d36e3fd1f53669c053a4c616b0ea48bce9dd05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1968",
    "kind": "arxiv",
    "version": 2
  }
}