Pith. sign in
Pith Number

pith:N7DBYE5Z

pith:2021:N7DBYE5ZUWBJ3PZVSSGCZVBQQT
not attested not anchored not stored refs pending

Quasi-bound states in the continuum induced by $\mathcal{PT}$-symmetry breaking

Alexander Shalin, Andrey Novitsky, Denis Novitsky, Dmitrii Redka, Vjaceslavs Bobrovs

arxiv:2103.07109 v2 · 2021-03-12 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N7DBYE5ZUWBJ3PZVSSGCZVBQQT}

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 2026-07-05T03:08:26.375154Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6fc61c13b9a5829dbf35948c2cd43084efdd85b6edbcee50051b9f7c3bea8d33

Aliases

arxiv: 2103.07109 · arxiv_version: 2103.07109v2 · doi: 10.48550/arxiv.2103.07109 · pith_short_12: N7DBYE5ZUWBJ · pith_short_16: N7DBYE5ZUWBJ3PZV · pith_short_8: N7DBYE5Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N7DBYE5ZUWBJ3PZVSSGCZVBQQT \
  | 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: 6fc61c13b9a5829dbf35948c2cd43084efdd85b6edbcee50051b9f7c3bea8d33
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "879c2d09cff38be10f3ea2bb036b5eb6c13a7b24ae741695da11a83ed1f87aba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-03-12T07:05:30Z",
    "title_canon_sha256": "457f006e30b6f89d34ba4f3f0c4c604d87d155d91f7e9d9b5958ccc72109de65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.07109",
    "kind": "arxiv",
    "version": 2
  }
}