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Pith Number

pith:3MUWCIFC

pith:2010:3MUWCIFCGN7AKMLQFKNSL65WFR
not attested not anchored not stored refs pending

One-Dimensional Integrable Spinor BECs Mapped to Matrix Nonlinear Schr\"odinger Equation and Solution of Bogoliubov Equation in These Systems

Daisuke A. Takahashi

arxiv:1011.5525 v2 · 2010-11-24 · cond-mat.quant-gas · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3MUWCIFCGN7AKMLQFKNSL65WFR}

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 2026-05-18T04:32:33.711876Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

db296120a2337e0531702a9b25fbb62c5efe02328ec1af88ef9b7576305200fe

Aliases

arxiv: 1011.5525 · arxiv_version: 1011.5525v2 · doi: 10.48550/arxiv.1011.5525 · pith_short_12: 3MUWCIFCGN7A · pith_short_16: 3MUWCIFCGN7AKMLQ · pith_short_8: 3MUWCIFC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3MUWCIFCGN7AKMLQFKNSL65WFR \
  | 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: db296120a2337e0531702a9b25fbb62c5efe02328ec1af88ef9b7576305200fe
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6214ec674f54fb753be4a8ec4bb8fb8e0764c1a6bc6667d36f9b9993151c72a9",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2010-11-24T22:25:54Z",
    "title_canon_sha256": "a8f6045c271414446b0505ca9a2adc21ec8403dbd39c4206e065c0814ae6e974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5525",
    "kind": "arxiv",
    "version": 2
  }
}