Pith Number

pith:Y7ORQFBE

pith:2013:Y7ORQFBEJ436YVMCCAZ7WJOUMA

not attested not anchored not stored refs pending

Classification of Lie point symmetries for quadratic Li$\acute{\textbf{e}}$nard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$

Ajey K. Tiwari, M. Lakshmanan, M. Senthilvelan, S. N. Pandey

arxiv:1302.0350 v1 · 2013-02-02 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7ORQFBEJ436YVMCCAZ7WJOUMA}

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	2026-05-18T01:51:51.175451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7dd1814244f37ec55821033fb25d4602d9704fed4a04f8898261d7b3df85270

Aliases

arxiv: 1302.0350 · arxiv_version: 1302.0350v1 · doi: 10.48550/arxiv.1302.0350 · pith_short_12: Y7ORQFBEJ436 · pith_short_16: Y7ORQFBEJ436YVMC · pith_short_8: Y7ORQFBE

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/Y7ORQFBEJ436YVMCCAZ7WJOUMA \
  | 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: c7dd1814244f37ec55821033fb25d4602d9704fed4a04f8898261d7b3df85270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee63c6c56ff105924d97dc9849ff5ec47034e7bd9b60e72e75c0721acdfd1d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-02-02T06:47:57Z",
    "title_canon_sha256": "cdf1c15c42444b2f5087acb9a0176a487f8f9ca3bebf3b2cf9934dff15e7a0a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0350",
    "kind": "arxiv",
    "version": 1
  }
}