Pith Number

pith:5ZXS764P

pith:2011:5ZXS764PMTRZI2JDNQLQ5O23CK

not attested not anchored not stored refs pending

On a Hidden Symmetry of Quantum Harmonic Oscillators

Jose M. Vega-Guzman, Raquel M. Lopez, Sergei K. Suslov

arxiv:1112.2586 v2 · 2011-12-12 · 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{5ZXS764PMTRZI2JDNQLQ5O23CK}

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	2026-05-18T04:05:26.670958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6f2ffb8f64e39469236c170ebb5b12b3c4e4686e0668dcdcbacc4edd56f059

Aliases

arxiv: 1112.2586 · arxiv_version: 1112.2586v2 · doi: 10.48550/arxiv.1112.2586 · pith_short_12: 5ZXS764PMTRZ · pith_short_16: 5ZXS764PMTRZI2JD · pith_short_8: 5ZXS764P

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/5ZXS764PMTRZI2JDNQLQ5O23CK \
  | 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: ee6f2ffb8f64e39469236c170ebb5b12b3c4e4686e0668dcdcbacc4edd56f059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9412c69c70ebca734c5ce6af29dafa01ba305beb71bb8531e4c78e58474a3adb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-12T15:23:13Z",
    "title_canon_sha256": "767770a647e11ae31b93702b3cfb9a6a677793d08a61e7853e1779ab4c8ce2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2586",
    "kind": "arxiv",
    "version": 2
  }
}