pith. sign in
Pith Number

pith:IOQJNE5Z

pith:2018:IOQJNE5ZYTI7KRWCH5T2GMZP3R
not attested not anchored not stored refs pending

New solitary wave and Multiple soliton solutions of (3 + 1)-dimensional KdV type equation by using Lie symmetry approach

Dharmendra Kumar, Sachin Kumar

arxiv:1808.08364 v1 · 2018-08-25 · math-ph · math.AP · math.DG · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IOQJNE5ZYTI7KRWCH5T2GMZP3R}

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 2026-05-18T00:07:16.768856Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

43a09693b9c4d1f546c23f67a3332fdc4e3ba7ed3513c6309f09f08d933b1b19

Aliases

arxiv: 1808.08364 · arxiv_version: 1808.08364v1 · doi: 10.48550/arxiv.1808.08364 · pith_short_12: IOQJNE5ZYTI7 · pith_short_16: IOQJNE5ZYTI7KRWC · pith_short_8: IOQJNE5Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IOQJNE5ZYTI7KRWCH5T2GMZP3R \
  | 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: 43a09693b9c4d1f546c23f67a3332fdc4e3ba7ed3513c6309f09f08d933b1b19
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4113b9201081704f234c4f3f6b1d707def73f391a59c7ba608c2fe5fe83f6819",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-25T06:42:22Z",
    "title_canon_sha256": "1364df3c8d27df4980cccfcb38f57e6beafca39c180c415979662296c6e884da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08364",
    "kind": "arxiv",
    "version": 1
  }
}