Pith Number

pith:WCNKHPBE

pith:2018:WCNKHPBEF2IZ4Q5WHPDWR75EKH

not attested not anchored not stored refs pending

Lie symmetry analysis and new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation

Dharmendra Kumar, Sachin Kumar

arxiv:1808.07005 v1 · 2018-08-06 · nlin.PS · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCNKHPBEF2IZ4Q5WHPDWR75EKH}

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	2026-05-18T00:07:38.422833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09aa3bc242e919e43b63bc768ffa451c1aa03bddee3142ab2eb1055849fc227

Aliases

arxiv: 1808.07005 · arxiv_version: 1808.07005v1 · doi: 10.48550/arxiv.1808.07005 · pith_short_12: WCNKHPBEF2IZ · pith_short_16: WCNKHPBEF2IZ4Q5W · pith_short_8: WCNKHPBE

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/WCNKHPBEF2IZ4Q5WHPDWR75EKH \
  | 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: b09aa3bc242e919e43b63bc768ffa451c1aa03bddee3142ab2eb1055849fc227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b246b1d3f16833fa521b78412711b18366bb82561fa5fa69a0e4cbf9251094b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2018-08-06T07:35:53Z",
    "title_canon_sha256": "eee0309aef75e9a8f04fcde1dd7ff85245889f591dc155420b2aab5467a347ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07005",
    "kind": "arxiv",
    "version": 1
  }
}