pith. sign in
Pith Number

pith:5TB2FZ2F

pith:2016:5TB2FZ2FXEWRRKNW7C3BW4LDNP
not attested not anchored not stored refs pending

The Asymmetric Active Coupler: Stable Nonlinear Supermodes and Directed Transport

Sergej Flach, Tassos Bountis, Yannis Kominis

arxiv:1606.03310 v1 · 2016-06-10 · physics.optics · nlin.CD · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5TB2FZ2FXEWRRKNW7C3BW4LDNP}

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 2026-05-18T01:12:37.157973Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ecc3a2e745b92d18a9b6f8b61b71636be7d8e4fcc5954712bef648f37660181d

Aliases

arxiv: 1606.03310 · arxiv_version: 1606.03310v1 · doi: 10.48550/arxiv.1606.03310 · pith_short_12: 5TB2FZ2FXEWR · pith_short_16: 5TB2FZ2FXEWRRKNW · pith_short_8: 5TB2FZ2F
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5TB2FZ2FXEWRRKNW7C3BW4LDNP \
  | 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: ecc3a2e745b92d18a9b6f8b61b71636be7d8e4fcc5954712bef648f37660181d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ae5a3320c294ccebe47d04ae4022a6da8c06f276ce0c189634616180e70f8df1",
    "cross_cats_sorted": [
      "nlin.CD",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-06-10T13:12:34Z",
    "title_canon_sha256": "20b32f0afe0aee50f13a8b4b05c9da8ac7265140bec9ed119502e31a51b91ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03310",
    "kind": "arxiv",
    "version": 1
  }
}