pith. sign in
Pith Number

pith:EBFCWDAT

pith:2011:EBFCWDATPH2CGMCI5S3NPV7A52
not attested not anchored not stored refs pending

PT-symmetry, indefinite damping and dissipation-induced instabilities

Oleg N. Kirillov

arxiv:1110.0018 v2 · 2011-09-30 · math-ph · cond-mat.other · math.MP · math.SP · physics.optics · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EBFCWDATPH2CGMCI5S3NPV7A52}

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 2026-05-18T04:00:37.836540Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

204a2b0c1379f4233048ecb6d7d7e0eeb0ec08024fc4f3f4f10b3c9e9d687c81

Aliases

arxiv: 1110.0018 · arxiv_version: 1110.0018v2 · doi: 10.48550/arxiv.1110.0018 · pith_short_12: EBFCWDATPH2C · pith_short_16: EBFCWDATPH2CGMCI · pith_short_8: EBFCWDAT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EBFCWDATPH2CGMCI5S3NPV7A52 \
  | 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: 204a2b0c1379f4233048ecb6d7d7e0eeb0ec08024fc4f3f4f10b3c9e9d687c81
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5647b736c0cf8f94704e28c70d84df7a8e638d13d7d71917e42e4ed8e94d2da2",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math.MP",
      "math.SP",
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-30T20:37:07Z",
    "title_canon_sha256": "8da883e438c68359aaf7bc548bb29ce83f5e2fdb2c4d0c85e4fb943ff8eaf51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0018",
    "kind": "arxiv",
    "version": 2
  }
}