pith. sign in
Pith Number

pith:BEHQF5MK

pith:2009:BEHQF5MK6XYXHZYAEW4AAALTAC
not attested not anchored not stored refs pending

Hidden symmetry and nonlinear paraxial atom optics

Fran\c{c}ois Impens

arxiv:0904.0150 v3 · 2009-04-01 · quant-ph · cond-mat.other · cond-mat.quant-gas · physics.atom-ph · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BEHQF5MK6XYXHZYAEW4AAALTAC}

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 2026-05-18T02:14:08.315384Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

090f02f58af5f173e70025b8000173008bf2c9e687341051c7d749fa524dfa09

Aliases

arxiv: 0904.0150 · arxiv_version: 0904.0150v3 · doi: 10.48550/arxiv.0904.0150 · pith_short_12: BEHQF5MK6XYX · pith_short_16: BEHQF5MK6XYXHZYA · pith_short_8: BEHQF5MK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BEHQF5MK6XYXHZYAEW4AAALTAC \
  | 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: 090f02f58af5f173e70025b8000173008bf2c9e687341051c7d749fa524dfa09
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0b02e65ad8a9440008593ff97a60640c11672362ee30375b0407315f4b58a22f",
    "cross_cats_sorted": [
      "cond-mat.other",
      "cond-mat.quant-gas",
      "physics.atom-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-04-01T13:51:58Z",
    "title_canon_sha256": "f9d2afb504adcf5ba7f533c2c014aa99255ba33ae4897c97d65f18c44fc95f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0150",
    "kind": "arxiv",
    "version": 3
  }
}