Pith Number

pith:2MNI5NIQ

pith:2012:2MNI5NIQ7LHTU6D25H4JYOM4WM

not attested not anchored not stored refs pending

Exact quantization of a PT-symmetric (reversible) Li\'enard-type nonlinear oscillator

M. Lakshmanan, M. Senthilvelan, V. Chithiika Ruby

arxiv:1209.1182 v1 · 2012-09-06 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MNI5NIQ7LHTU6D25H4JYOM4WM}

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	2026-05-18T03:46:06.320908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d31a8eb510facf3a787ae9f89c399cb33e1b05a882a77db7ad0d053e791aaaf7

Aliases

arxiv: 1209.1182 · arxiv_version: 1209.1182v1 · doi: 10.48550/arxiv.1209.1182 · pith_short_12: 2MNI5NIQ7LHT · pith_short_16: 2MNI5NIQ7LHTU6D2 · pith_short_8: 2MNI5NIQ

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/2MNI5NIQ7LHTU6D25H4JYOM4WM \
  | 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: d31a8eb510facf3a787ae9f89c399cb33e1b05a882a77db7ad0d053e791aaaf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407071d228acd7a82689131475a000ee942a7fd565d32ab243f85c7d0b5e2a11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-06T05:18:29Z",
    "title_canon_sha256": "b8eb2e4f62a8cdd6308da1a641fbd3437a4f599087ed702e2b410a16570c91ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1182",
    "kind": "arxiv",
    "version": 1
  }
}