Pith Number

pith:FDEFHFPN

pith:2010:FDEFHFPNTJOQAQU62QHGCYTZML

not attested not anchored not stored refs pending

Generalized quantum isotonic nonlinear oscillator in d dimensions

Nasser Saad, Ozlem Yesiltas, Richard L. Hall

arxiv:1010.0620 v1 · 2010-10-04 · 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{FDEFHFPNTJOQAQU62QHGCYTZML}

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	2026-05-18T04:25:49.239505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c85395ed9a5d00429ed40e61627962f5bf91861197b28e527d69f8d195b286

Aliases

arxiv: 1010.0620 · arxiv_version: 1010.0620v1 · doi: 10.48550/arxiv.1010.0620 · pith_short_12: FDEFHFPNTJOQ · pith_short_16: FDEFHFPNTJOQAQU6 · pith_short_8: FDEFHFPN

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/FDEFHFPNTJOQAQU62QHGCYTZML \
  | 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: 28c85395ed9a5d00429ed40e61627962f5bf91861197b28e527d69f8d195b286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde633eb4a7f1f9a5e2faa0a48ac227c293db013da737bf2e118507c70e4a8e1",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-04T15:25:09Z",
    "title_canon_sha256": "52500385bd4c79fdd61a97efa848a2c8821563a26f25af9bbdcb9729ae4d1d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0620",
    "kind": "arxiv",
    "version": 1
  }
}