Pith Number

pith:JCJBAYS3

pith:2016:JCJBAYS36M64V4IA5ZMICY775J

not attested not anchored not stored refs pending

One-Dimensional Quasi-Exactly Solvable Schr\"odinger Equations

Alexander V Turbiner

arxiv:1603.02992 v2 · 2016-03-09 · quant-ph · hep-th · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCJBAYS36M64V4IA5ZMICY775J}

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	2026-05-18T00:56:46.363886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489210625bf33dcaf100ee588163ffea5183d7dbb1b5df572ef0261235182df9

Aliases

arxiv: 1603.02992 · arxiv_version: 1603.02992v2 · doi: 10.48550/arxiv.1603.02992 · pith_short_12: JCJBAYS36M64 · pith_short_16: JCJBAYS36M64V4IA · pith_short_8: JCJBAYS3

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/JCJBAYS36M64V4IA5ZMICY775J \
  | 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: 489210625bf33dcaf100ee588163ffea5183d7dbb1b5df572ef0261235182df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d63103ffc78bc95cbb71792229e885b99f7ad062248112461adb13f2f6fdedea",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-09T18:38:12Z",
    "title_canon_sha256": "0e240a50421549ef5394ab7915653bb21bc46d1608f5e60e1ca505949877decc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02992",
    "kind": "arxiv",
    "version": 2
  }
}