pith. sign in
Pith Number

pith:7B4WEAWT

pith:2016:7B4WEAWTH4GVUZVJIHGGT5TOY2
not attested not anchored not stored refs pending

Modulation equations approach for solving vortex and radiation in nonlinear Schrodinger equation

Avy Soffer, Xiaofei Zhao

arxiv:1605.00888 v1 · 2016-05-03 · math-ph · cond-mat.quant-gas · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7B4WEAWTH4GVUZVJIHGGT5TOY2}

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 2026-05-18T01:15:47.751824Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f8796202d33f0d5a66a941cc69f66ec6845020551a1039d44bf5526c7e5843e4

Aliases

arxiv: 1605.00888 · arxiv_version: 1605.00888v1 · doi: 10.48550/arxiv.1605.00888 · pith_short_12: 7B4WEAWTH4GV · pith_short_16: 7B4WEAWTH4GVUZVJ · pith_short_8: 7B4WEAWT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7B4WEAWTH4GVUZVJIHGGT5TOY2 \
  | 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: f8796202d33f0d5a66a941cc69f66ec6845020551a1039d44bf5526c7e5843e4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f24de44b738d6c8c2a00cfdf116b201bba1cb69948788531fdb5a2541dfb777a",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-03T13:06:17Z",
    "title_canon_sha256": "421b4648a61e78047bf163ccc765e4f6787ae28b0d0efa999155511de83eba88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00888",
    "kind": "arxiv",
    "version": 1
  }
}