Pith Number

pith:W6HOP2MK

pith:2009:W6HOP2MKBYCULXSD4XC3PO3FDO

not attested not anchored not stored refs pending

A Group Theoretical Identification of Integrable Equations in the Li\'enard Type Equation $\ddot{x}+f(x)\dot{x}+g(x) = 0$ : Part II: Equations having Maximal Lie Point Symmetries

M. Lakshmanan, M. Senthilvelan, P. S. Bindu, S. N. Pandey

arxiv:0907.5476 v1 · 2009-07-31 · 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{W6HOP2MKBYCULXSD4XC3PO3FDO}

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	2026-05-18T02:12:45.838833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78ee7e98a0e0545de43e5c5b7bb651b8e0519f268e1033f717b7ed6c01a0ad6

Aliases

arxiv: 0907.5476 · arxiv_version: 0907.5476v1 · doi: 10.48550/arxiv.0907.5476 · pith_short_12: W6HOP2MKBYCU · pith_short_16: W6HOP2MKBYCULXSD · pith_short_8: W6HOP2MK

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/W6HOP2MKBYCULXSD4XC3PO3FDO \
  | 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: b78ee7e98a0e0545de43e5c5b7bb651b8e0519f268e1033f717b7ed6c01a0ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0b8ab4497830ef51da7a29ef32f8a62b13377523cfa8f8988dcf3430676964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2009-07-31T06:50:16Z",
    "title_canon_sha256": "bde1de2f926c7472f61ce5d49cc744e2bda8b8b5692ad527449c8527e61bb13f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5476",
    "kind": "arxiv",
    "version": 1
  }
}