Pith Number

pith:CFDY2OC4

pith:2013:CFDY2OC4AFPGPBIH5EIJAXPI2S

not attested not anchored not stored refs pending

Two-sided Clifford Fourier transform with two square roots of -1 in Cl(p,q)

Eckhard Hitzer

arxiv:1306.2092 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{CFDY2OC4AFPGPBIH5EIJAXPI2S}

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	2026-05-18T03:21:22.428240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11478d385c015e678507e910905de8d4a630bb1b1f70764a1cce8efe654aa094

Aliases

arxiv: 1306.2092 · arxiv_version: 1306.2092v1 · doi: 10.48550/arxiv.1306.2092 · pith_short_12: CFDY2OC4AFPG · pith_short_16: CFDY2OC4AFPGPBIH · pith_short_8: CFDY2OC4

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/CFDY2OC4AFPGPBIH5EIJAXPI2S \
  | 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: 11478d385c015e678507e910905de8d4a630bb1b1f70764a1cce8efe654aa094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a49a1c25ac7e4298ccc89e0ebbba7798ce822d512813a9c2fe5339818d5432",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-10T03:10:37Z",
    "title_canon_sha256": "8674c3576d8de7e4d164518c9619fe106c1b0cadd7952233280e516a3f5838bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2092",
    "kind": "arxiv",
    "version": 1
  }
}