Pith Number

pith:CKSIWTXQ

pith:2011:CKSIWTXQVCPW5QQZWKINIE2TSJ

not attested not anchored not stored refs pending

Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials

C.-L. Ho

arxiv:1105.3670 v3 · 2011-05-18 · math-ph · math.MP · math.SP · nlin.SI · 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{CKSIWTXQVCPW5QQZWKINIE2TSJ}

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	2026-05-18T02:01:56.512123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a48b4ef0a89f6ec219b290d413539251c89ee6fb1b9b47618085ff26a64334

Aliases

arxiv: 1105.3670 · arxiv_version: 1105.3670v3 · doi: 10.48550/arxiv.1105.3670 · pith_short_12: CKSIWTXQVCPW · pith_short_16: CKSIWTXQVCPW5QQZ · pith_short_8: CKSIWTXQ

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/CKSIWTXQVCPW5QQZWKINIE2TSJ \
  | 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: 12a48b4ef0a89f6ec219b290d413539251c89ee6fb1b9b47618085ff26a64334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "527dd1db8942a2b1285002f84dbcbb00d28260f4f4349f9a5ad6b7812cebdd36",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-18T15:51:33Z",
    "title_canon_sha256": "fcc642a718b19a44cfc3d0753302ba93407b2d1bf3d18a7ea814375e74aff654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3670",
    "kind": "arxiv",
    "version": 3
  }
}