Pith Number

pith:LJDH3VVK

pith:2011:LJDH3VVKV2GTTX4MHC5OKBL5UX

not attested not anchored not stored refs pending

Position and Momentum Uncertainties of the Normal and Inverted Harmonic Oscillators under the Minimal Length Uncertainty Relation

Tatsu Takeuchi, Zachary Lewis

arxiv:1109.2680 v1 · 2011-09-13 · hep-th · 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{LJDH3VVKV2GTTX4MHC5OKBL5UX}

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	2026-05-18T04:08:03.463333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a467dd6aaae8d39df8c38bae5057da5e71df7fa7384036b3053bd8275bcf273

Aliases

arxiv: 1109.2680 · arxiv_version: 1109.2680v1 · doi: 10.48550/arxiv.1109.2680 · pith_short_12: LJDH3VVKV2GT · pith_short_16: LJDH3VVKV2GTTX4M · pith_short_8: LJDH3VVK

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/LJDH3VVKV2GTTX4MHC5OKBL5UX \
  | 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: 5a467dd6aaae8d39df8c38bae5057da5e71df7fa7384036b3053bd8275bcf273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f78db41f408bd40d23a07875084f2e2af647309ab630a03deb8f5ef4307673",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-13T06:24:26Z",
    "title_canon_sha256": "23e5dde742cfa15a34aa228629c9bffeaac840a3d6acb9e96d2b30faac784937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2680",
    "kind": "arxiv",
    "version": 1
  }
}