Pith Number

pith:V466UQCQ

pith:2013:V466UQCQ7YCY2JMOISK5MFYVKR

not attested not anchored not stored refs pending

Directional Uncertainty Principle for Quaternion Fourier Transform

Eckhard Hitzer

arxiv:1306.1276 v1 · 2013-06-06 · math.RA · math-ph · math.MP · 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{V466UQCQ7YCY2JMOISK5MFYVKR}

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	2026-05-18T03:21:42.823416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af3dea4050fe058d258e4495d617155469291d538a1dd41dfb6fd4ac880ffacf

Aliases

arxiv: 1306.1276 · arxiv_version: 1306.1276v1 · doi: 10.48550/arxiv.1306.1276 · pith_short_12: V466UQCQ7YCY · pith_short_16: V466UQCQ7YCY2JMO · pith_short_8: V466UQCQ

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/V466UQCQ7YCY2JMOISK5MFYVKR \
  | 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: af3dea4050fe058d258e4495d617155469291d538a1dd41dfb6fd4ac880ffacf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a3e9c63b6a73474708d763e75579cb7b63d09edfbe28434a8fa408fcd43780",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-06T01:14:47Z",
    "title_canon_sha256": "5bc453d13da5291697a1028641715325cbe7751659cc6adda3eb3c3267e38eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1276",
    "kind": "arxiv",
    "version": 1
  }
}