Pith Number

pith:BWQCH6U7

pith:2011:BWQCH6U76FG4XOV32PLZJFEKDH

not attested not anchored not stored refs pending

A Heuristic Description of Fast Fourier Transform

Xiao Fan, Zhengjun Cao

arxiv:1110.5989 v1 · 2011-10-27 · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWQCH6U76FG4XOV32PLZJFEKDH}

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	2026-05-18T04:10:09.989666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da023fa9ff14dcbbabbd3d794948a19c91d44720f448e4cf8addcf47d1e19e5

Aliases

arxiv: 1110.5989 · arxiv_version: 1110.5989v1 · doi: 10.48550/arxiv.1110.5989 · pith_short_12: BWQCH6U76FG4 · pith_short_16: BWQCH6U76FG4XOV3 · pith_short_8: BWQCH6U7

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/BWQCH6U76FG4XOV32PLZJFEKDH \
  | 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: 0da023fa9ff14dcbbabbd3d794948a19c91d44720f448e4cf8addcf47d1e19e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbea163555e15153b6238497268b63d50f23c00a271779061567f2cd88423a28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2011-10-27T05:51:23Z",
    "title_canon_sha256": "fe26590f19c7425e28d3d8e099f0e386df90e0fc185aa71122d76f8cae7f5538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5989",
    "kind": "arxiv",
    "version": 1
  }
}