Pith Number

pith:YQIPDV7J

pith:2012:YQIPDV7JSLKQXQ6DWRWVS53GJC

not attested not anchored not stored refs pending

Clifford algebras, Fourier transforms and quantum mechanics

Hendrik De Bie

arxiv:1209.6434 v1 · 2012-09-28 · math-ph · math.CA · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQIPDV7JSLKQXQ6DWRWVS53GJC}

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	2026-05-18T01:54:12.998180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c410f1d7e992d50bc3c3b46d59776648a411118c8fad7aaa73b10a25e71f7659

Aliases

arxiv: 1209.6434 · arxiv_version: 1209.6434v1 · doi: 10.48550/arxiv.1209.6434 · pith_short_12: YQIPDV7JSLKQ · pith_short_16: YQIPDV7JSLKQXQ6D · pith_short_8: YQIPDV7J

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/YQIPDV7JSLKQXQ6DWRWVS53GJC \
  | 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: c410f1d7e992d50bc3c3b46d59776648a411118c8fad7aaa73b10a25e71f7659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748e34720afc0df3d8d20d20da7baae7cbe5f0d4b8566a5d2ea29ddfe90d9246",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-28T07:08:57Z",
    "title_canon_sha256": "3ba86b0043cc43cc7f58536f7b28d7b7d14945ab48bf57eb086a72ad48fbc269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6434",
    "kind": "arxiv",
    "version": 1
  }
}