Pith Number

pith:H5SJ3P5B

pith:2001:H5SJ3P5BQETB3XNM5FZJWDBH7Z

not attested not anchored not stored refs pending

Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations

Djordje Minic, Lay Nam Chang, Naotoshi Okamura, Tatsu Takeuchi

arxiv:hep-th/0111181 v2 · 2001-11-21 · hep-th · physics.atom-ph · 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{H5SJ3P5BQETB3XNM5FZJWDBH7Z}

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

Field theory vacuum and entropic dark energy models

Receipt and verification

First computed	2026-07-04T14:31:43.118812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f649dbfa181261dddace9729b0c27fe5c07ee3a70660fd11166af365b89a647

Aliases

arxiv: hep-th/0111181 · arxiv_version: hep-th/0111181v2 · doi: 10.48550/arxiv.hep-th/0111181 · pith_short_12: H5SJ3P5BQETB · pith_short_16: H5SJ3P5BQETB3XNM · pith_short_8: H5SJ3P5B

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/H5SJ3P5BQETB3XNM5FZJWDBH7Z \
  | 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: 3f649dbfa181261dddace9729b0c27fe5c07ee3a70660fd11166af365b89a647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7a76a8d78a88c5aee1eccaec87d672cb9fc81f6ad78e3ba4351188ac7b8d76",
    "cross_cats_sorted": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-21T00:44:37Z",
    "title_canon_sha256": "248463467c27775adca4a6e1df3a0c2a4ae2bf073601d31035aa4db3eff750da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111181",
    "kind": "arxiv",
    "version": 2
  }
}