Pith Number

pith:4MZVDYAY

pith:2013:4MZVDYAY3CTFC2LVZX4JCUOBVP

not attested not anchored not stored refs pending

Clifford Fourier-Mellin transform with two real square roots of -1 in Cl(p,q), p+q=2

Eckhard Hitzer

arxiv:1306.1679 v1 · 2013-06-07 · math.RA · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MZVDYAY3CTFC2LVZX4JCUOBVP}

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	2026-05-18T03:21:32.680846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33351e018d8a6516975cdf89151c1abdd4ce8e73d451eb061b50abebc59c97a

Aliases

arxiv: 1306.1679 · arxiv_version: 1306.1679v1 · doi: 10.48550/arxiv.1306.1679 · pith_short_12: 4MZVDYAY3CTF · pith_short_16: 4MZVDYAY3CTFC2LV · pith_short_8: 4MZVDYAY

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/4MZVDYAY3CTFC2LVZX4JCUOBVP \
  | 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: e33351e018d8a6516975cdf89151c1abdd4ce8e73d451eb061b50abebc59c97a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b0f62e2ba51a1add1731d304cf9a329f6f47fe4d83b54c15c59445a0e1e19f",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-07T10:10:59Z",
    "title_canon_sha256": "ce4a6f914318923aa252b2283f4f493fa0d27eb90e82bf61b7d7418081be4343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1679",
    "kind": "arxiv",
    "version": 1
  }
}