Pith Number

pith:VPNT2GUA

pith:2014:VPNT2GUANH5BQZJ7S65M6OY4S3

not attested not anchored not stored refs pending

Spectral Singularities and CPA-Laser Action in a Weakly Nonlinear PT-Symmetric Bilayer Slab

Ali Mostafazadeh

arxiv:1404.1737 v1 · 2014-04-07 · quant-ph · math-ph · math.MP · 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{VPNT2GUANH5BQZJ7S65M6OY4S3}

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	2026-05-18T02:23:58.708566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdb3d1a8069fa18653f97bacf3b1c96c4bdc8abf05a112e6526eb70077a3d41

Aliases

arxiv: 1404.1737 · arxiv_version: 1404.1737v1 · doi: 10.48550/arxiv.1404.1737 · pith_short_12: VPNT2GUANH5B · pith_short_16: VPNT2GUANH5BQZJ7 · pith_short_8: VPNT2GUA

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/VPNT2GUANH5BQZJ7S65M6OY4S3 \
  | 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: abdb3d1a8069fa18653f97bacf3b1c96c4bdc8abf05a112e6526eb70077a3d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb763ece2322bc9abcc95f99fff61c6719e24f9e70e9b833050c8024302921f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-04-07T10:48:16Z",
    "title_canon_sha256": "9ee5a9452f69581571eec27178b948501cbf0d571125f0971958c11df48aa9dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1737",
    "kind": "arxiv",
    "version": 1
  }
}