pith. sign in
Pith Number

pith:BII4XDQO

pith:2012:BII4XDQO2PB7TMHJFX4S4MEDTK
not attested not anchored not stored refs pending

Functional Wigner representation of BEC quantum dynamics

Bogdan Opanchuk, Peter D. Drummond

arxiv:1210.1302 v2 · 2012-10-04 · cond-mat.quant-gas · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BII4XDQO2PB7TMHJFX4S4MEDTK}

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 2026-05-18T03:27:22.944021Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0a11cb8e0ed3c3f9b0e92df92e30839a8638ea015d7bf1a400e27126254fd34d

Aliases

arxiv: 1210.1302 · arxiv_version: 1210.1302v2 · doi: 10.48550/arxiv.1210.1302 · pith_short_12: BII4XDQO2PB7 · pith_short_16: BII4XDQO2PB7TMHJ · pith_short_8: BII4XDQO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BII4XDQO2PB7TMHJFX4S4MEDTK \
  | 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: 0a11cb8e0ed3c3f9b0e92df92e30839a8638ea015d7bf1a400e27126254fd34d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c90cc5732a3d32ae16aa1b5edc866a9e0fb906d445cd191fd437c0a3ef97aa93",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2012-10-04T05:44:39Z",
    "title_canon_sha256": "e33bbf78e8b2fb12aaf50a43f34aabd3d4ffdb679410f4057200253ed6261923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1302",
    "kind": "arxiv",
    "version": 2
  }
}