Pith Number

pith:GDNLFQX5

pith:2012:GDNLFQX5E4C4CDCZ24IISLZQW6

not attested not anchored not stored refs pending

Self-dual Spectral Singularities and Coherent Perfect Absorbing Lasers without PT-symmetry

Ali Mostafazadeh

arxiv:1205.4560 v2 · 2012-05-21 · quant-ph · hep-th · 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{GDNLFQX5E4C4CDCZ24IISLZQW6}

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	2026-05-18T01:57:25.107938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30dab2c2fd2705c10c59d710892f30b7914e47576ff4f76fca966a4dba3a17a0

Aliases

arxiv: 1205.4560 · arxiv_version: 1205.4560v2 · doi: 10.48550/arxiv.1205.4560 · pith_short_12: GDNLFQX5E4C4 · pith_short_16: GDNLFQX5E4C4CDCZ · pith_short_8: GDNLFQX5

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/GDNLFQX5E4C4CDCZ24IISLZQW6 \
  | 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: 30dab2c2fd2705c10c59d710892f30b7914e47576ff4f76fca966a4dba3a17a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d22fcb19a437749331ff69185123596e71d50f065dda264e7e4f76ed1a73238f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-21T10:47:44Z",
    "title_canon_sha256": "0ad49cca6e9e78dc7148e393f05eb2dbb5bb6a89f102376a6d61de3f980eb52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4560",
    "kind": "arxiv",
    "version": 2
  }
}