Pith Number

pith:FTX2YH23

pith:2005:FTX2YH23Z6XSZGLTXUUJA472IT

not attested not anchored not stored refs pending

Application of the Frobenius method to the Schrodinger equation for a spherically symmetric potential: anharmonic oscillator

Anna Okopinska, Przemyslaw Koscik

arxiv:quant-ph/0512087 v1 · 2005-12-12 · quant-ph · 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{FTX2YH23Z6XSZGLTXUUJA472IT}

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	2026-05-18T00:40:17.666204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cefac1f5bcfaf2c9973bd289073fa44ca75b13593d459df7caf7f923c6a403c

Aliases

arxiv: quant-ph/0512087 · arxiv_version: quant-ph/0512087v1 · doi: 10.48550/arxiv.quant-ph/0512087 · pith_short_12: FTX2YH23Z6XS · pith_short_16: FTX2YH23Z6XSZGLT · pith_short_8: FTX2YH23

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/FTX2YH23Z6XSZGLTXUUJA472IT \
  | 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: 2cefac1f5bcfaf2c9973bd289073fa44ca75b13593d459df7caf7f923c6a403c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f0699b756151171293faad2a6fa21810f2ac97fe532b86bf1d1d8a4c2f6dd2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-12-12T11:15:14Z",
    "title_canon_sha256": "d56969d11a12f2172600a36b574c25b8deb545073d67609ac89e52fb1a48c8b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0512087",
    "kind": "arxiv",
    "version": 1
  }
}