Pith Number

pith:XMKYICFZ

pith:2013:XMKYICFZLXCRPLP7QA6TK25P6D

not attested not anchored not stored refs pending

On Fast Implementation of Clenshaw-Curtis and Fej\'{e}r-type Quadrature Rules

Guo He, Haiyong Wang, Shuhaung Xiang

arxiv:1311.0445 v2 · 2013-11-03 · 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{XMKYICFZLXCRPLP7QA6TK25P6D}

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	2026-05-18T03:04:48.168283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb158408b95dc517adff803d356baff0e623858dac0792dff1bd7491dfc5e6ba

Aliases

arxiv: 1311.0445 · arxiv_version: 1311.0445v2 · doi: 10.48550/arxiv.1311.0445 · pith_short_12: XMKYICFZLXCR · pith_short_16: XMKYICFZLXCRPLP7 · pith_short_8: XMKYICFZ

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/XMKYICFZLXCRPLP7QA6TK25P6D \
  | 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: bb158408b95dc517adff803d356baff0e623858dac0792dff1bd7491dfc5e6ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7598d2ec6d2395a051d703b6742e2139c31c1dbe9365821d288f83f5ed1ddf01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-03T09:40:31Z",
    "title_canon_sha256": "3172a890c90cb5fdc144ac582f0ebba571837b5bc76ed10edea4a9fe51c80b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0445",
    "kind": "arxiv",
    "version": 2
  }
}