Pith Number

pith:BK2ZNEUL

pith:2024:BK2ZNEULM4GSBRZANROOCOCWTD

not attested not anchored not stored refs pending

The Hidden Ontological Variable in Quantum Harmonic Oscillators

Gerard t Hooft

arxiv:2407.18153 v4 · 2024-07-25 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BK2ZNEULM4GSBRZANROOCOCWTD}

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.

Cited by

1 paper in Pith

The Geometry Underlying the Quantum Harmonic Oscillator

Receipt and verification

First computed	2026-07-05T09:27:24.409560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab596928b670d20c7206c5ce1385698d239d684012df2ce5c5f0782a7fd19d5

Aliases

arxiv: 2407.18153 · arxiv_version: 2407.18153v4 · doi: 10.48550/arxiv.2407.18153 · pith_short_12: BK2ZNEULM4GS · pith_short_16: BK2ZNEULM4GSBRZA · pith_short_8: BK2ZNEUL

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/BK2ZNEULM4GSBRZANROOCOCWTD \
  | 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: 0ab596928b670d20c7206c5ce1385698d239d684012df2ce5c5f0782a7fd19d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78cd6fa457e640b70006d2a90a3570ea36591199ea3a6ba4b1a72dbebf8606b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-07-25T16:05:18Z",
    "title_canon_sha256": "745302c2f19200a12ed8502cc80f5cbf99661d28c3686e55581e303dab82d675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.18153",
    "kind": "arxiv",
    "version": 4
  }
}