Pith Number

pith:ID3RESAP

pith:2015:ID3RESAPIIMDCVN536IHT7EC3M

not attested not anchored not stored refs pending

A Pleijel-type theorem for the quantum harmonic oscillator

Philippe Charron

arxiv:1512.07880 v1 · 2015-12-24 · math.SP · 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{ID3RESAPIIMDCVN536IHT7EC3M}

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	2026-05-18T01:23:45.870373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f712480f42183155bddf9079fc82db02513281ea4b9028f0c57fddc406c51f

Aliases

arxiv: 1512.07880 · arxiv_version: 1512.07880v1 · doi: 10.48550/arxiv.1512.07880 · pith_short_12: ID3RESAPIIMD · pith_short_16: ID3RESAPIIMDCVN5 · pith_short_8: ID3RESAP

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/ID3RESAPIIMDCVN536IHT7EC3M \
  | 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: 40f712480f42183155bddf9079fc82db02513281ea4b9028f0c57fddc406c51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5033afd50e187e410caf3f48661a4bcf07763f0a01c6565c31b72d30df7b45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-24T18:43:16Z",
    "title_canon_sha256": "4a555523b592632ca104d7eaa6b434a9ad5ba10e156c2ad6660956bfaf505697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07880",
    "kind": "arxiv",
    "version": 1
  }
}