Pith Number

pith:DWXUVU5C

pith:2012:DWXUVU5CYKMIZQUG2KOV3VNCTS

not attested not anchored not stored refs pending

Exact Solutions of the Schr\"odinger Equation via Laplace Transform Approach: Pseudoharmonic potential and Mie-type potentials

Altug Arda, Ramazan Sever

arxiv:1202.4268 v1 · 2012-02-20 · math-ph · hep-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWXUVU5CYKMIZQUG2KOV3VNCTS}

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	2026-05-18T04:00:26.307300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1daf4ad3a2c2988cc286d29d5dd5a29cb7e88f1004891403ebdcb6ab283cb7d4

Aliases

arxiv: 1202.4268 · arxiv_version: 1202.4268v1 · doi: 10.48550/arxiv.1202.4268 · pith_short_12: DWXUVU5CYKMI · pith_short_16: DWXUVU5CYKMIZQUG · pith_short_8: DWXUVU5C

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/DWXUVU5CYKMIZQUG2KOV3VNCTS \
  | 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: 1daf4ad3a2c2988cc286d29d5dd5a29cb7e88f1004891403ebdcb6ab283cb7d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf1006582d9d0dab590f01960c76ae9510441c1556333a2b17f44c5693e7fb5",
    "cross_cats_sorted": [
      "hep-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-20T09:42:38Z",
    "title_canon_sha256": "dde98002ddcdfd17eadb6dd773c6c05e1953856aaa1e734898adc7ccb344daef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4268",
    "kind": "arxiv",
    "version": 1
  }
}