Pith Number

pith:IFIYRSYD

pith:2015:IFIYRSYDELJL4M5C2FQUEB3S3D

not attested not anchored not stored refs pending

On the ground states and dynamics of space fractional nonlinear Schr\"{o}dinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions

Qinglin Tang, Xavier Antoine, Yong Zhang

arxiv:1512.03210 v1 · 2015-12-10 · math.NA · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFIYRSYDELJL4M5C2FQUEB3S3D}

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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	2026-05-18T01:04:21.927119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

415188cb0322d2be33a2d161420772d8c56a54297beb1de9aab34a68a79bacd2

Aliases

arxiv: 1512.03210 · arxiv_version: 1512.03210v1 · doi: 10.48550/arxiv.1512.03210 · pith_short_12: IFIYRSYDELJL · pith_short_16: IFIYRSYDELJL4M5C · pith_short_8: IFIYRSYD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IFIYRSYDELJL4M5C2FQUEB3S3D \
  | 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: 415188cb0322d2be33a2d161420772d8c56a54297beb1de9aab34a68a79bacd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728b054505def93c86cebfc440c2c31ffc9eab3ff99ba26c4d4be3774e41da13",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-10T11:03:51Z",
    "title_canon_sha256": "7be0b716f62fb6104ff84aa62c64c0b4d7fa0bbb7802a8ae1602480e56cafd53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03210",
    "kind": "arxiv",
    "version": 1
  }
}