pith. sign in
Pith Number

pith:UA7AZK7F

pith:2012:UA7AZK7FZMHPPMKGXDOH2RG4HU
not attested not anchored not stored refs pending

Optical vortices induced in nonlinear multilevel atomic vapors

Chenzhi Yuan, Keqing Lu, Milivoj Beli\'c, Xin Yao, Yanpeng Zhang, Yiqi Zhang, Zhenkun Wu

arxiv:1210.1939 v1 · 2012-10-06 · nlin.PS · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UA7AZK7FZMHPPMKGXDOH2RG4HU}

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 2026-05-18T03:41:28.895453Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a03e0cabe5cb0ef7b146b8dc7d44dc3d33d6b9e78860e719d3ad28427138f301

Aliases

arxiv: 1210.1939 · arxiv_version: 1210.1939v1 · doi: 10.48550/arxiv.1210.1939 · pith_short_12: UA7AZK7FZMHP · pith_short_16: UA7AZK7FZMHPPMKG · pith_short_8: UA7AZK7F
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UA7AZK7FZMHPPMKGXDOH2RG4HU \
  | 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: a03e0cabe5cb0ef7b146b8dc7d44dc3d33d6b9e78860e719d3ad28427138f301
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4e564da03f7ee67febf4d555dd0f388cd780f77862ccb5fff6c8efb3ed9d7b49",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-10-06T11:08:56Z",
    "title_canon_sha256": "7f8d8a43924b94221ef726f3a9a4fe55dae6d9af90db277f6d1ed9af3d31ce7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1939",
    "kind": "arxiv",
    "version": 1
  }
}