Pith Number

pith:NXPF7FXW

pith:2009:NXPF7FXWOZU3PD35ZUEAFLXKZU

not attested not anchored not stored refs pending

Algebraic Shape Invariant Potentials as the Generalized Deformed Oscillator

Wang-Chang Su

arxiv:0906.0278 v1 · 2009-06-01 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXPF7FXWOZU3PD35ZUEAFLXKZU}

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	2026-05-18T02:13:30.118699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dde5f96f67669b78f7dcd0802aeeacd2fc56772d5512465034d10101679644c

Aliases

arxiv: 0906.0278 · arxiv_version: 0906.0278v1 · doi: 10.48550/arxiv.0906.0278 · pith_short_12: NXPF7FXWOZU3 · pith_short_16: NXPF7FXWOZU3PD35 · pith_short_8: NXPF7FXW

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/NXPF7FXWOZU3PD35ZUEAFLXKZU \
  | 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: 6dde5f96f67669b78f7dcd0802aeeacd2fc56772d5512465034d10101679644c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a602a1078a2fb91667a0a13563c590b4d11ec89b46b9780ab6b90b9604c04c9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-01T13:18:07Z",
    "title_canon_sha256": "38014a693cd9b5580d872415e4554a56c16768b00dc231b3cabafc6df079b29d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0278",
    "kind": "arxiv",
    "version": 1
  }
}