Pith Number

pith:6OUTJNUC

pith:2013:6OUTJNUCMVLN5RREROJVGQ4ZCZ

not attested not anchored not stored refs pending

On the accuracy and stability of algorithms most commonly used in the evaluation of Chebyshev polynomials of the first kind

Agata Smoktunowicz, Alicja Smoktunowicz, Ewa Pawelec

arxiv:1312.5677 v2 · 2013-12-19 · math.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{6OUTJNUCMVLN5RREROJVGQ4ZCZ}

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	2026-05-18T03:04:07.982423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a934b6826556dec6248b93534399167d4f0ea97aaab6d5ae8c1cbad43fa9d8

Aliases

arxiv: 1312.5677 · arxiv_version: 1312.5677v2 · doi: 10.48550/arxiv.1312.5677 · pith_short_12: 6OUTJNUCMVLN · pith_short_16: 6OUTJNUCMVLN5RRE · pith_short_8: 6OUTJNUC

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/6OUTJNUCMVLN5RREROJVGQ4ZCZ \
  | 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: f3a934b6826556dec6248b93534399167d4f0ea97aaab6d5ae8c1cbad43fa9d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a21c147233c5c79358f19d8891ea50991e52283f13ee63a02050581a02f7df2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-19T18:11:01Z",
    "title_canon_sha256": "d3e095a394d294436073c38419514f32d1accb556b42adf3044f3b69a8131614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5677",
    "kind": "arxiv",
    "version": 2
  }
}