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Pith Number

pith:57E3VFIK

pith:2014:57E3VFIKI646DXYYQ25K6GN4DB
not attested not anchored not stored refs pending

Causality and phase transitions in PT-symmetrical optical systems

A. A. Lisyansky, A. A. Pukhov, A. A. Zyablovsky, A. P. Vinogradov, A. V. Dorofeenko

arxiv:1401.4043 v1 · 2014-01-16 · physics.optics · cond-mat.mes-hall · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{57E3VFIKI646DXYYQ25K6GN4DB}

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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 2026-05-18T01:45:24.853446Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

efc9ba950a47b9e1df1886baaf19bc18480899b6f6da8afc7f0cea22927bfca4

Aliases

arxiv: 1401.4043 · arxiv_version: 1401.4043v1 · doi: 10.48550/arxiv.1401.4043 · pith_short_12: 57E3VFIKI646 · pith_short_16: 57E3VFIKI646DXYY · pith_short_8: 57E3VFIK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB \
  | 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: efc9ba950a47b9e1df1886baaf19bc18480899b6f6da8afc7f0cea22927bfca4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a613f59f551fcb089cb78187d992537d0ac723e1ac8b3ccf41d8be435cc1f65e",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-01-16T14:39:06Z",
    "title_canon_sha256": "9c53032fd3a001c6305338e1e6ba060393b76c920e7fcfa631d6b97ec35255df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4043",
    "kind": "arxiv",
    "version": 1
  }
}