Pith Number

pith:XDO4RMGE

pith:2026:XDO4RMGEV5APEOV2UXVR563EBI

not attested not anchored not stored refs pending

The Uncertainty Principles of Quaternion Fractional Fourier Transform

Haipan Shi, Ke Cui, Xiaomin Tang

arxiv:2605.25104 v1 · 2026-05-24 · math.CV · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDO4RMGEV5APEOV2UXVR563EBI}

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	2026-05-26T02:04:18.079851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8ddc8b0c4af40f23abaa5eb1efb640a37168d509b2fc777b349463c0aeeda82

Aliases

arxiv: 2605.25104 · arxiv_version: 2605.25104v1 · doi: 10.48550/arxiv.2605.25104 · pith_short_12: XDO4RMGEV5AP · pith_short_16: XDO4RMGEV5APEOV2 · pith_short_8: XDO4RMGE

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/XDO4RMGEV5APEOV2UXVR563EBI \
  | 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: b8ddc8b0c4af40f23abaa5eb1efb640a37168d509b2fc777b349463c0aeeda82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11075d7100047444ae294aa9907b2469be453b8c317baee95b258deb43146c02",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-05-24T14:44:44Z",
    "title_canon_sha256": "b0abf6e93bd1a218e973b7e97fea5b837ac958e4215945d76d3862271817aa82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25104",
    "kind": "arxiv",
    "version": 1
  }
}