Pith Number

pith:R6TK3Q2S

pith:2004:R6TK3Q2SX5TU5IA5PC5Y5E7DT2

not attested not anchored not stored refs pending

On improving the accuracy of Horner's and Goertzel's algorithms

Alicja Smoktunowicz, Iwona Wr\'obel

arxiv:math/0407177 v1 · 2004-07-12 · math.NA · 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{R6TK3Q2SX5TU5IA5PC5Y5E7DT2}

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	2026-06-03T22:06:15.406989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fa6adc352bf674ea01d78bb8e93e39e8c32467b5dedbb32e52e016b8010eac8

Aliases

arxiv: math/0407177 · arxiv_version: math/0407177v1 · doi: 10.48550/arxiv.math/0407177 · pith_short_12: R6TK3Q2SX5TU · pith_short_16: R6TK3Q2SX5TU5IA5 · pith_short_8: R6TK3Q2S

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/R6TK3Q2SX5TU5IA5PC5Y5E7DT2 \
  | 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: 8fa6adc352bf674ea01d78bb8e93e39e8c32467b5dedbb32e52e016b8010eac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ebd4e2d74a569d86ed24b2fd1073b350fb91d72cdd7782c36c4b94538e2d3bb",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2004-07-12T12:56:14Z",
    "title_canon_sha256": "ea2a7ac8a3ec6636d5fe022236dfed4a083431eebb8f7aa99535ab139c5e1625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407177",
    "kind": "arxiv",
    "version": 1
  }
}