pith. sign in
Pith Number

pith:QE3KO2IL

pith:2013:QE3KO2ILKOTXKOCBJI7C54QDT2
not attested not anchored not stored refs pending

Atoms and Molecules in Intense Laser Fields: Gauge Invariance of Theory and Models

Andr\'e D. Bandrauk, Emmanuel Lorin, Fran\c{c}ois Fillion-Gourdeau

arxiv:1302.2932 v1 · 2013-02-12 · physics.optics · physics.atom-ph · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QE3KO2ILKOTXKOCBJI7C54QDT2}

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 2026-05-18T03:16:49.414393Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8136a7690b53a77538414a3e2ef2039eaf23e9f643251897ac2de822a679e397

Aliases

arxiv: 1302.2932 · arxiv_version: 1302.2932v1 · doi: 10.48550/arxiv.1302.2932 · pith_short_12: QE3KO2ILKOTX · pith_short_16: QE3KO2ILKOTXKOCB · pith_short_8: QE3KO2IL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QE3KO2ILKOTXKOCBJI7C54QDT2 \
  | 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: 8136a7690b53a77538414a3e2ef2039eaf23e9f643251897ac2de822a679e397
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3b6340b7cb7580347adb9e986b999ec3dfa3ed854a5b5adf09a9623d71d04ec9",
    "cross_cats_sorted": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-02-12T21:40:18Z",
    "title_canon_sha256": "dd56c7d00d6d4b74f40289cb098fbfe930473a0c62c6848a3b585d02b3d99600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2932",
    "kind": "arxiv",
    "version": 1
  }
}