Pith Number

pith:RMCIX4OO

pith:2013:RMCIX4OOMXU6YF3RTETQ2DY4HV

not attested not anchored not stored refs pending

Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) based on Clifford Fourier Transform

Bahri Mawardi, Eckhard Hitzer

arxiv:1306.2089 v1 · 2013-06-10 · math.RA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMCIX4OOMXU6YF3RTETQ2DY4HV}

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	2026-05-18T03:21:22.436504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b048bf1ce65e9ec177199270d0f1c3d655755141082fcc024168161e87476e2

Aliases

arxiv: 1306.2089 · arxiv_version: 1306.2089v1 · doi: 10.48550/arxiv.1306.2089 · pith_short_12: RMCIX4OOMXU6 · pith_short_16: RMCIX4OOMXU6YF3R · pith_short_8: RMCIX4OO

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/RMCIX4OOMXU6YF3RTETQ2DY4HV \
  | 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: 8b048bf1ce65e9ec177199270d0f1c3d655755141082fcc024168161e87476e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f141536ce8c3774a6ae646d4382ca7d0bbe975301fd11905d58c5241d7449d8",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-10T02:20:19Z",
    "title_canon_sha256": "63b935ac01b09b7454c0db412a83748052adbef41ef2f9358d4f89ded78a511f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2089",
    "kind": "arxiv",
    "version": 1
  }
}