Pith Number

pith:FCJ4XQVF

pith:2016:FCJ4XQVFJPA53LDNXDR3KUGF36

not attested not anchored not stored refs pending

An observation on Classification of Lie point symmetries for quadratic Li\'{e}nard type equation $\ddot{x}+f\left(x\right) \dot{x}^{2}+g\left( x\right) =0$ [JMP 54, 053506 (2013)] and its erratum [JMP 55, 059901 (2014)]

A. Paliathanasis, P.G.L. Leach

arxiv:1601.02691 v1 · 2016-01-11 · math.CA · 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{FCJ4XQVFJPA53LDNXDR3KUGF36}

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	2026-05-18T01:21:46.768297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2893cbc2a54bc1ddac6db8e3b550c5dfb450dd9e51dd5f7b1b4bcf489b43fe51

Aliases

arxiv: 1601.02691 · arxiv_version: 1601.02691v1 · doi: 10.48550/arxiv.1601.02691 · pith_short_12: FCJ4XQVFJPA5 · pith_short_16: FCJ4XQVFJPA53LDN · pith_short_8: FCJ4XQVF

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/FCJ4XQVFJPA53LDNXDR3KUGF36 \
  | 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: 2893cbc2a54bc1ddac6db8e3b550c5dfb450dd9e51dd5f7b1b4bcf489b43fe51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca583bfdb28720e05ef402d71ccd3ab8c8738e0094e9c1d055fb3e77b6e4bf3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-11T23:33:34Z",
    "title_canon_sha256": "b894536086810ff82114173f9445b275c0499096c503fb9771dee5678c7fd73b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02691",
    "kind": "arxiv",
    "version": 1
  }
}