pith. sign in
Pith Number

pith:DQKOAIAL

pith:2012:DQKOAIALJOQKHVSOE3UUH3NKP2
not attested not anchored not stored refs pending

Bound state solutions of the Manning-Rosen potential

B.J. Falaye, C. A. Onate, K. J. Oyewumi, M. A. Punyasena, T. T. Ibrahim

arxiv:1207.5135 v2 · 2012-07-21 · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DQKOAIALJOQKHVSOE3UUH3NKP2}

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 2026-05-18T02:58:43.539650Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1c14e0200b4ba0a3d64e26e943edaa7eaba4c7b4f6ebdc61290e0322854fc0ca

Aliases

arxiv: 1207.5135 · arxiv_version: 1207.5135v2 · doi: 10.48550/arxiv.1207.5135 · pith_short_12: DQKOAIALJOQK · pith_short_16: DQKOAIALJOQKHVSO · pith_short_8: DQKOAIAL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DQKOAIALJOQKHVSOE3UUH3NKP2 \
  | 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: 1c14e0200b4ba0a3d64e26e943edaa7eaba4c7b4f6ebdc61290e0322854fc0ca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a31049faf4be34415ce22e58cf9e99a175d3f748d3e83e92440ede032968f182",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-21T13:29:32Z",
    "title_canon_sha256": "48cfaa9f58f46630136f9b2fab2bcc573c48c316309ce0f4f4f04688e6dbc742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5135",
    "kind": "arxiv",
    "version": 2
  }
}