Pith Number

pith:Z6OMWJRN

pith:2015:Z6OMWJRNMAZ462RZUBOB6QYNUV

not attested not anchored not stored refs pending

Exact solutions of the Li\'enard and generalized Li\'enard type ordinary non-linear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator

Shi-Dong Liang, Tiberiu Harko

arxiv:1505.02364 v3 · 2015-05-10 · math-ph · math.CA · 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{Z6OMWJRNMAZ462RZUBOB6QYNUV}

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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	2026-05-18T01:13:44.867660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9ccb262d6033cf6a39a05c1f430da572a874ed08a32b4117eb53088f540886

Aliases

arxiv: 1505.02364 · arxiv_version: 1505.02364v3 · doi: 10.48550/arxiv.1505.02364 · pith_short_12: Z6OMWJRNMAZ4 · pith_short_16: Z6OMWJRNMAZ462RZ · pith_short_8: Z6OMWJRN

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/Z6OMWJRNMAZ462RZUBOB6QYNUV \
  | 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: cf9ccb262d6033cf6a39a05c1f430da572a874ed08a32b4117eb53088f540886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67a1f6e289e61b7271536a20439282d1e562a5913ee0063ad62d4deb0867104",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-10T10:28:51Z",
    "title_canon_sha256": "a132b8b0f5717db403ab615ff7a601d14dfd8292efe1317c4a6755cf0175fdc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02364",
    "kind": "arxiv",
    "version": 3
  }
}