Pith Number

pith:RUAIHYTI

pith:2009:RUAIHYTIBOTX3WEYGFCC4KIINV

not attested not anchored not stored refs pending

A Group Theoretical Identification of Integrable Cases of the Li\'{e}nard Type Equation $\ddot{x}+f(x)\dot{x}+g(x) = 0$ : Part I: Equations having Non-maximal Number of Lie point Symmetries

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

arxiv:0907.5475 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{RUAIHYTIBOTX3WEYGFCC4KIINV}

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	2026-05-18T02:12:45.848513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d0083e2680ba77dd89831442e29086d5926aa7720fd648531453683a923d320

Aliases

arxiv: 0907.5475 · arxiv_version: 0907.5475v1 · doi: 10.48550/arxiv.0907.5475 · pith_short_12: RUAIHYTIBOTX · pith_short_16: RUAIHYTIBOTX3WEY · pith_short_8: RUAIHYTI

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/RUAIHYTIBOTX3WEYGFCC4KIINV \
  | 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: 8d0083e2680ba77dd89831442e29086d5926aa7720fd648531453683a923d320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6097f3fdff2b1a2228dadafd417a3bb28a692eb3d1bab6403f299c3bfa57f7a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2009-07-31T06:40:38Z",
    "title_canon_sha256": "8689c52044adffdc1dc9c5e6feaa56ccd7fe324d7c6e3dc3cd146ac8ab54d5a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5475",
    "kind": "arxiv",
    "version": 1
  }
}