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Pith Number

pith:7E2DXFLL

pith:2013:7E2DXFLLWZ7KLIAZNQBK2SEF4T
not attested not anchored not stored refs pending

A parallel butterfly algorithm

Jack Poulson, Laurent Demanet, Lexing Ying, Nicholas Maxwell

arxiv:1305.4650 v2 · 2013-05-20 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7E2DXFLLWZ7KLIAZNQBK2SEF4T}

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 2026-05-18T03:06:22.034465Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f9343b956bb67ea5a0196c02ad4885e4e735b63f8d5e0b8c4a3103b886db27ab

Aliases

arxiv: 1305.4650 · arxiv_version: 1305.4650v2 · doi: 10.48550/arxiv.1305.4650 · pith_short_12: 7E2DXFLLWZ7K · pith_short_16: 7E2DXFLLWZ7KLIAZ · pith_short_8: 7E2DXFLL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7E2DXFLLWZ7KLIAZNQBK2SEF4T \
  | 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: f9343b956bb67ea5a0196c02ad4885e4e735b63f8d5e0b8c4a3103b886db27ab
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7ed020f93e8150fd63c770c596b86e7d9bc8a17337eeac198f65d51791bc52c3",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-05-20T20:33:40Z",
    "title_canon_sha256": "a78460ec1954359881165ae0dac2899575e8c295b16c8811a2cc04358d5ccd83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4650",
    "kind": "arxiv",
    "version": 2
  }
}