pith. sign in
Pith Number

pith:7INJ2IYT

pith:2013:7INJ2IYTM3M2BM3TE2UYKP7IBN
not attested not anchored not stored refs pending

${\cal PT}$-symmetric coupler with $\chi^{(2)}$ nonlinearity

D. A. Zezyulin, F. Kh. Abdullaev, K. Li, P. G. Kevrekidis, V. v. Konotop

arxiv:1309.0746 v2 · 2013-09-03 · physics.optics · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7INJ2IYTM3M2BM3TE2UYKP7IBN}

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 2026-05-18T01:47:50.342757Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa1a9d231366d9a0b37326a9853fe80b4ade1dc724af976c291bb29bcdf893a8

Aliases

arxiv: 1309.0746 · arxiv_version: 1309.0746v2 · doi: 10.48550/arxiv.1309.0746 · pith_short_12: 7INJ2IYTM3M2 · pith_short_16: 7INJ2IYTM3M2BM3T · pith_short_8: 7INJ2IYT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7INJ2IYTM3M2BM3TE2UYKP7IBN \
  | 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: fa1a9d231366d9a0b37326a9853fe80b4ade1dc724af976c291bb29bcdf893a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d620626010f4c956418087abcd88dc4b59e1bd96372182f9284077a711d99778",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-09-03T17:06:28Z",
    "title_canon_sha256": "2b6fe7162c804f7a3b9ec9218e78fdd1bab695ce29ded2533c00cef03be0d179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0746",
    "kind": "arxiv",
    "version": 2
  }
}