pith. sign in
Pith Number

pith:MMHOPEO7

pith:2018:MMHOPEO7WLCOJFQ7KOAUYKEXHN
not attested not anchored not stored refs pending

On the analytical solutions of the quasi-exactly solvable Razavy type potential V(x) = Vo (sinh**4(x)-k sinh**2(x) )

Carlos Villasenor-Mora, Edgar Condori-Pozo, Marco A. Reyes

arxiv:1806.03388 v1 · 2018-06-09 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?
Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{MMHOPEO7WLCOJFQ7KOAUYKEXHN}

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 2026-05-18T00:13:24.966303Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

630ee791dfb2c4e4961f53814c28973b4123601994c5bc725a76bab98b323660

Aliases

arxiv: 1806.03388 · arxiv_version: 1806.03388v1 · doi: 10.48550/arxiv.1806.03388 · pith_short_12: MMHOPEO7WLCO · pith_short_16: MMHOPEO7WLCOJFQ7 · pith_short_8: MMHOPEO7
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/MMHOPEO7WLCOJFQ7KOAUYKEXHN \
  | 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: 630ee791dfb2c4e4961f53814c28973b4123601994c5bc725a76bab98b323660
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "0d6ede0faff2361dd07ecabd1c286e2d2c79b1acef1bc8eef8f57f88337f1427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-06-09T00:58:40Z",
    "title_canon_sha256": "69671027f97b98e2a3b2e0bde14262720e96d4df6d6ec7cff10a7062462203a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03388",
    "kind": "arxiv",
    "version": 1
  }
}