pith. sign in
Pith Number

pith:3QPN4H5Q

pith:2012:3QPN4H5Q75FHSVJFTWDUQHGWUG
not attested not anchored not stored refs pending

Trace formula for dielectric cavities III: TE modes

E. Bogomolny, R. Dubertrand

arxiv:1206.3488 v1 · 2012-06-15 · nlin.CD · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3QPN4H5Q75FHSVJFTWDUQHGWUG}

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 2026-05-18T03:49:00.709890Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dc1ede1fb0ff4a7955259d87481cd6a18f9335519d140730b8265fb4a3af2acb

Aliases

arxiv: 1206.3488 · arxiv_version: 1206.3488v1 · doi: 10.48550/arxiv.1206.3488 · pith_short_12: 3QPN4H5Q75FH · pith_short_16: 3QPN4H5Q75FHSVJF · pith_short_8: 3QPN4H5Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3QPN4H5Q75FHSVJFTWDUQHGWUG \
  | 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: dc1ede1fb0ff4a7955259d87481cd6a18f9335519d140730b8265fb4a3af2acb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2fd33334de31f852a38e4404852c57f1927368c4ffe7a8e1175f2aa5d362e54f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-06-15T14:46:31Z",
    "title_canon_sha256": "e590efd11d8e68c238e6ade198048b4fced2b79b758880f43aca8b2c521b0e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3488",
    "kind": "arxiv",
    "version": 1
  }
}