pith. sign in
Pith Number

pith:QJR2ULET

pith:2016:QJR2ULETZIGOAU2KRZUBEGQ7DV
not attested not anchored not stored refs pending

Spectral Singularities in the TE and TM modes of a PT-Symmetric Slab System: Optimal conditions for realizing a CPA-Laser

Ali Mostafazadeh, Mustafa Sarisaman

arxiv:1606.00412 v1 · 2016-05-30 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QJR2ULETZIGOAU2KRZUBEGQ7DV}

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 2026-05-18T00:50:09.683673Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8263aa2c93ca0ce0534a8e68121a1f1d6e48a12481d12412b63e0abe72996c94

Aliases

arxiv: 1606.00412 · arxiv_version: 1606.00412v1 · doi: 10.48550/arxiv.1606.00412 · pith_short_12: QJR2ULETZIGO · pith_short_16: QJR2ULETZIGOAU2K · pith_short_8: QJR2ULET
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QJR2ULETZIGOAU2KRZUBEGQ7DV \
  | 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: 8263aa2c93ca0ce0534a8e68121a1f1d6e48a12481d12412b63e0abe72996c94
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b42da380d3958d21d186b6ba3bcb757813577d2ee39b0ffa83ec62fd17656ccf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-05-30T16:15:27Z",
    "title_canon_sha256": "ecd13c266b3d0451e2aa592f645c79395d29a9aa02ed5bbc0a630179d148c0cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00412",
    "kind": "arxiv",
    "version": 1
  }
}