pith. sign in
Pith Number

pith:GUNGG6FC

pith:2009:GUNGG6FCFHFO362YVZMOTAYCUF
not attested not anchored not stored refs pending

Soft-core Coulomb potentials and Heun's differential equation

K. D. Sen, Nasser Saad, Richard L. Hall

arxiv:0912.3445 v1 · 2009-12-17 · math-ph · math.MP · physics.atom-ph · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GUNGG6FCFHFO362YVZMOTAYCUF}

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 2026-05-18T02:10:15.938905Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

351a6378a229caedfb58ae58e98302a14a5299a0d581295cbde57492354d57ec

Aliases

arxiv: 0912.3445 · arxiv_version: 0912.3445v1 · doi: 10.48550/arxiv.0912.3445 · pith_short_12: GUNGG6FCFHFO · pith_short_16: GUNGG6FCFHFO362Y · pith_short_8: GUNGG6FC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GUNGG6FCFHFO362YVZMOTAYCUF \
  | 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: 351a6378a229caedfb58ae58e98302a14a5299a0d581295cbde57492354d57ec
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d96cc71ea1e89f919cbbcf82d66c0098a6053bce4f8980d7b0ae5e4980a43a1b",
    "cross_cats_sorted": [
      "math.MP",
      "physics.atom-ph",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-17T15:53:45Z",
    "title_canon_sha256": "22a3ae8517628bc6567ef4cf9206717917ab3bf0038c6f8f1da7a7b6c7a28442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3445",
    "kind": "arxiv",
    "version": 1
  }
}