Pith Number

pith:PRFK6663

pith:2013:PRFK66637MJVRUPOVZKHEZLACF

not attested not anchored not stored refs pending

Noether symmetries and the quantization of a Lienard-type nonlinear oscillator

G. Gubbiotti, M.C. Nucci

arxiv:1307.3803 v1 · 2013-07-15 · math-ph · math.MP · 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{PRFK66637MJVRUPOVZKHEZLACF}

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	2026-05-18T03:18:27.856531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4aaf7bdbfb1358d1eeae5472656011599d759370c9b2667ad8fa770d18876b

Aliases

arxiv: 1307.3803 · arxiv_version: 1307.3803v1 · doi: 10.48550/arxiv.1307.3803 · pith_short_12: PRFK66637MJV · pith_short_16: PRFK66637MJVRUPO · pith_short_8: PRFK6663

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/PRFK66637MJVRUPOVZKHEZLACF \
  | 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: 7c4aaf7bdbfb1358d1eeae5472656011599d759370c9b2667ad8fa770d18876b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9447830e85bed2a8448c36d28d03d052f44040818a6b85463ed0c32dc507f2a",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-15T01:41:01Z",
    "title_canon_sha256": "4db5b70750564c1e47094a6b97f22f6294bbe292bdfb40f9969be5aa67be4244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3803",
    "kind": "arxiv",
    "version": 1
  }
}