pith. sign in
Pith Number

pith:BFWYXJAV

pith:2004:BFWYXJAVLNM4K3FQUEKBEGLLP2
not attested not anchored not stored refs pending

Degeneracy of Schrodinger equation with potential $1/r$ in $d$-dimensions

H. Goudarzi, M. A. Jafarizadeh

arxiv:math-ph/0404054 v1 · 2004-04-23 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BFWYXJAVLNM4K3FQUEKBEGLLP2}

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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 2026-05-18T01:05:30.213396Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

096d8ba4155b59c56cb0a11412196b7e9308d88b10b425597bf124aaedc77614

Aliases

arxiv: math-ph/0404054 · arxiv_version: math-ph/0404054v1 · doi: 10.48550/arxiv.math-ph/0404054 · pith_short_12: BFWYXJAVLNM4 · pith_short_16: BFWYXJAVLNM4K3FQ · pith_short_8: BFWYXJAV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BFWYXJAVLNM4K3FQUEKBEGLLP2 \
  | 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: 096d8ba4155b59c56cb0a11412196b7e9308d88b10b425597bf124aaedc77614
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6ccbf780e66d4ba2ccf4e48c3f24688d8c43a8412e09666e82f08c6e6ce9e0f8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-04-23T16:14:42Z",
    "title_canon_sha256": "e0a4c4b1b6234c9c4548bd14dedab061d731974f8ed8c0f98c6f656f6eb4d3b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0404054",
    "kind": "arxiv",
    "version": 1
  }
}