Pith Number

pith:FN4UGJWF

pith:2012:FN4UGJWFOEEQ2HN2YR64GBZD5K

not attested not anchored not stored refs pending

The fractional Clifford-Fourier transform

Hendrik De Bie, Nele De Schepper

arxiv:1209.5955 v1 · 2012-09-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FN4UGJWFOEEQ2HN2YR64GBZD5K}

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	2026-05-18T03:44:45.819384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b794326c571090d1dbac47dc30723eaac6aa8a0bb36f032a8a952ab361d9ffc

Aliases

arxiv: 1209.5955 · arxiv_version: 1209.5955v1 · doi: 10.48550/arxiv.1209.5955 · pith_short_12: FN4UGJWFOEEQ · pith_short_16: FN4UGJWFOEEQ2HN2 · pith_short_8: FN4UGJWF

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/FN4UGJWFOEEQ2HN2YR64GBZD5K \
  | 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: 2b794326c571090d1dbac47dc30723eaac6aa8a0bb36f032a8a952ab361d9ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79da7f9cc5192b4ee6e48edbc6a966a334afd6ac080ec1d7d1e3970f833b9da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-26T14:41:33Z",
    "title_canon_sha256": "7a58a727ee29c4787e292bfd7565633254e646a02ad85eb7d3e1cb9286e961d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5955",
    "kind": "arxiv",
    "version": 1
  }
}