Pith Number

pith:L5QBS6JT

pith:2013:L5QBS6JTUS5T7FYIAQ6VSFOIXK

not attested not anchored not stored refs pending

An exactly-solvable three-dimensional nonlinear quantum oscillator

Axel Schulze-Halberg, John R. Morris

arxiv:1304.3739 v1 · 2013-04-12 · 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{L5QBS6JTUS5T7FYIAQ6VSFOIXK}

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	2026-05-18T01:50:33.272540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f60197933a4bb3f9708043d5915c8baa1c11bba676b1dc246d4baeb89f131d8

Aliases

arxiv: 1304.3739 · arxiv_version: 1304.3739v1 · doi: 10.48550/arxiv.1304.3739 · pith_short_12: L5QBS6JTUS5T · pith_short_16: L5QBS6JTUS5T7FYI · pith_short_8: L5QBS6JT

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/L5QBS6JTUS5T7FYIAQ6VSFOIXK \
  | 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: 5f60197933a4bb3f9708043d5915c8baa1c11bba676b1dc246d4baeb89f131d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a2d6bd6f737321fd4a3ec1d01986d740be6d44785b1ba9277da3b2171b0b526",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-12T21:43:55Z",
    "title_canon_sha256": "016cab625e5fe610b9324e62173e02bac166b5d5ccbf7387453df1a7b396fdc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3739",
    "kind": "arxiv",
    "version": 1
  }
}