Pith Number

pith:BNRS7COC

pith:2014:BNRS7COCZITGK7RT7RRV3BGDAC

not attested not anchored not stored refs pending

Harmonic Oscillators, Heisenberg's Uncertainty Principle and Simultaneous Measurement Precision for Position and Momentum

Donald J. Kouri

arxiv:1409.2468 v3 · 2014-09-08 · 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{BNRS7COCZITGK7RT7RRV3BGDAC}

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	2026-05-18T02:27:50.978809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b632f89c2ca26657e33fc635d84c30089e9102222f557f6645e513254efc011

Aliases

arxiv: 1409.2468 · arxiv_version: 1409.2468v3 · doi: 10.48550/arxiv.1409.2468 · pith_short_12: BNRS7COCZITG · pith_short_16: BNRS7COCZITGK7RT · pith_short_8: BNRS7COC

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/BNRS7COCZITGK7RT7RRV3BGDAC \
  | 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: 0b632f89c2ca26657e33fc635d84c30089e9102222f557f6645e513254efc011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "353f666e1f3fbb81df3f5334ad66c8738de8459d7b71531d2e1c8c2b44bad2da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-08T19:07:35Z",
    "title_canon_sha256": "1b0558b3b054ad52b7577b806b7267ad7233e8137b976856bd8e4a786dc04382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2468",
    "kind": "arxiv",
    "version": 3
  }
}