Pith Number

pith:BMZPYR4Z

pith:2014:BMZPYR4ZMYO5IQTMSINKNHFSOO

not attested not anchored not stored refs pending

Fast and highly accurate computation of Chebyshev expansion coefficients of analytic functions

Daan Huybrechs, Haiyong Wang

arxiv:1404.2463 v2 · 2014-04-09 · 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{BMZPYR4ZMYO5IQTMSINKNHFSOO}

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	2026-05-18T02:20:12.646590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b32fc4799661dd4426c921aa69cb273b30cf3985792df0a63afeea2e7c1526f

Aliases

arxiv: 1404.2463 · arxiv_version: 1404.2463v2 · doi: 10.48550/arxiv.1404.2463 · pith_short_12: BMZPYR4ZMYO5 · pith_short_16: BMZPYR4ZMYO5IQTM · pith_short_8: BMZPYR4Z

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/BMZPYR4ZMYO5IQTMSINKNHFSOO \
  | 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: 0b32fc4799661dd4426c921aa69cb273b30cf3985792df0a63afeea2e7c1526f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b80bfacfd6c5b943320b5b5986493ecbb5fa3ac1962152a58340f0094effabc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-04-09T12:38:34Z",
    "title_canon_sha256": "9c18d02e13728e74fa2efc89f215063e359f997e22d9cf695b87beadfc5202ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2463",
    "kind": "arxiv",
    "version": 2
  }
}