Pith Number

pith:HIHWAFIO

pith:2014:HIHWAFIOTNUQ4CJQHK2NU4BL7R

not attested not anchored not stored refs pending

On the number of nodal domains of the 2D isotropic quantum harmonic oscillator -- an extension of results of A. Stern --

Bernard Helffer (LM-Orsay, LMJL), Pierre B\'erard (IF)

arxiv:1409.2333 v1 · 2014-09-08 · math.SP · math-ph · math.AP · 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{HIHWAFIOTNUQ4CJQHK2NU4BL7R}

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	2026-05-18T02:43:17.352912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0f60150e9b690e09303ab4da702bfc58c1a46d2691b8cc887e839482569a38

Aliases

arxiv: 1409.2333 · arxiv_version: 1409.2333v1 · doi: 10.48550/arxiv.1409.2333 · pith_short_12: HIHWAFIOTNUQ · pith_short_16: HIHWAFIOTNUQ4CJQ · pith_short_8: HIHWAFIO

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/HIHWAFIOTNUQ4CJQHK2NU4BL7R \
  | 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: 3a0f60150e9b690e09303ab4da702bfc58c1a46d2691b8cc887e839482569a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6abff9b5ecbf979f867dc3ad94df52762d4acd8cf74616050db9b06858bfba9",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-09-08T13:25:45Z",
    "title_canon_sha256": "91f2c133c41bda0253e165f7c07e0f892947088bf6337f087b8b9988b1cd6ac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2333",
    "kind": "arxiv",
    "version": 1
  }
}