Pith Number

pith:QUKGDVTK

pith:2026:QUKGDVTK5COYZCWK6HH6VZ4RSJ

not attested not anchored not stored refs pending

The quantum harmonic oscillator and the real Hilbert space

Sergio Giardino

arxiv:2606.12060 v1 · 2026-06-10 · 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{QUKGDVTK5COYZCWK6HH6VZ4RSJ}

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	2026-06-11T01:10:45.596289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851461d66ae89d8c8acaf1cfeae79192582e84bbec11adcffed1765b4d5e471a

Aliases

arxiv: 2606.12060 · arxiv_version: 2606.12060v1 · doi: 10.48550/arxiv.2606.12060 · pith_short_12: QUKGDVTK5COY · pith_short_16: QUKGDVTK5COYZCWK · pith_short_8: QUKGDVTK

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/QUKGDVTK5COYZCWK6HH6VZ4RSJ \
  | 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: 851461d66ae89d8c8acaf1cfeae79192582e84bbec11adcffed1765b4d5e471a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4930c5313675b0fe50fc781fc8809d3d736048e523b9d3970171e5a574fb3c95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-10T13:28:34Z",
    "title_canon_sha256": "a8fd8edf2d011d5d15a0d043b32d5d8de87b94d28d072c335b43bab1ae71687d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12060",
    "kind": "arxiv",
    "version": 1
  }
}