Pith Number

pith:GH6K46BU

pith:2013:GH6K46BU7MQ3ARM3C32DYPANUZ

not attested not anchored not stored refs pending

Eigenvalues and eigenfunctions of the anharmonic oscillator $V(x,y)=x^{2}y^{2}$

Francisco M. Fern\'andez, Javier Garcia

arxiv:1310.5229 v1 · 2013-10-19 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH6K46BU7MQ3ARM3C32DYPANUZ}

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	2026-05-18T00:23:40.950629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31fcae7834fb21b0459b16f43c3c0da65c9e07bbe84696a3805a43bdca91bb36

Aliases

arxiv: 1310.5229 · arxiv_version: 1310.5229v1 · doi: 10.48550/arxiv.1310.5229 · pith_short_12: GH6K46BU7MQ3 · pith_short_16: GH6K46BU7MQ3ARM3 · pith_short_8: GH6K46BU

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/GH6K46BU7MQ3ARM3C32DYPANUZ \
  | 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: 31fcae7834fb21b0459b16f43c3c0da65c9e07bbe84696a3805a43bdca91bb36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901d291ec5e58ccba18b83abf3e01b9c10f1a680466d3b47767ff8681acdd813",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-19T13:38:50Z",
    "title_canon_sha256": "4a6dbcab3f81a7fcb09266f134bdf3f0c741c5af7559064fbad0b5d85bd36e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5229",
    "kind": "arxiv",
    "version": 1
  }
}