Pith Number

pith:GWOSH43M

pith:2002:GWOSH43MSMFZEN5IQNH4NKCWG2

not attested not anchored not stored refs pending

On Solvable Potentials for One Dimensional Schroedinger and Fokker-Planck Equations

George Krylov

arxiv:quant-ph/0212046 v1 · 2002-12-08 · quant-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWOSH43MSMFZEN5IQNH4NKCWG2}

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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.

Cited by

1 paper in Pith

Multi-parameter isospectral Fokker-Planck equations

Receipt and verification

First computed	2026-07-04T14:46:04.639596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

359d23f36c930b9237a8834fc6a85636ade8ed9be68fdbc40c65f2edafae1935

Aliases

arxiv: quant-ph/0212046 · arxiv_version: quant-ph/0212046v1 · doi: 10.48550/arxiv.quant-ph/0212046 · pith_short_12: GWOSH43MSMFZ · pith_short_16: GWOSH43MSMFZEN5I · pith_short_8: GWOSH43M

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/GWOSH43MSMFZEN5IQNH4NKCWG2 \
  | 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: 359d23f36c930b9237a8834fc6a85636ade8ed9be68fdbc40c65f2edafae1935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7420deb090339df5ab4e26b48fe11eab0dd42d193bf4d747678249e0e223a1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-12-08T18:53:53Z",
    "title_canon_sha256": "98292088568f8a04da13591b9198326437891d0cd99e062f0dfeb989ef828d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0212046",
    "kind": "arxiv",
    "version": 1
  }
}