Pith Number

pith:C4IJUGLJ

pith:2011:C4IJUGLJHXRH5K7SFOH6NLZIP4

not attested not anchored not stored refs pending

On Schr\"odinger equation with potential U = - {\alpha}r^{-1} + {\beta}r + kr^{2} and the bi-confluent Heun functions theory

E. Ovsiyuk, M. Amirfachrian, O. Veko

arxiv:1110.5121 v1 · 2011-10-24 · 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{C4IJUGLJHXRH5K7SFOH6NLZIP4}

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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.

Receipt and verification

First computed	2026-05-18T04:10:24.664621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17109a19693de27eabf22b8fe6af287f1a1e811a9c7fbca87cae128d937b0b8b

Aliases

arxiv: 1110.5121 · arxiv_version: 1110.5121v1 · doi: 10.48550/arxiv.1110.5121 · pith_short_12: C4IJUGLJHXRH · pith_short_16: C4IJUGLJHXRH5K7S · pith_short_8: C4IJUGLJ

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/C4IJUGLJHXRH5K7SFOH6NLZIP4 \
  | 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: 17109a19693de27eabf22b8fe6af287f1a1e811a9c7fbca87cae128d937b0b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96919632174804dac387007b72de95375c52a54cc9d545a9d3ec7f4c46659f9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-24T02:52:36Z",
    "title_canon_sha256": "dd192c0ca7e507797633f734b945756e916b3f2683552f1033c88adb40eca1d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5121",
    "kind": "arxiv",
    "version": 1
  }
}