Pith Number

pith:4ICIZHTE

pith:2021:4ICIZHTE2GV2NU6DTD3IIA7BQO

not attested not anchored not stored refs pending

Asymptotic Coefficients and Errors for Chebyshev Polynomial Approximations with Weak Endpoint Singularities: Effects of Different Bases

John P. Boyd, XiaoLong Zhang

arxiv:2103.11841 v2 · 2021-03-22 · 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{4ICIZHTE2GV2NU6DTD3IIA7BQO}

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	2026-07-05T04:27:04.968296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2048c9e64d1aba6d3c398f68403e1839fabeda13ed614803f94b6c9ac2feaa7

Aliases

arxiv: 2103.11841 · arxiv_version: 2103.11841v2 · doi: 10.48550/arxiv.2103.11841 · pith_short_12: 4ICIZHTE2GV2 · pith_short_16: 4ICIZHTE2GV2NU6D · pith_short_8: 4ICIZHTE

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/4ICIZHTE2GV2NU6DTD3IIA7BQO \
  | 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: e2048c9e64d1aba6d3c398f68403e1839fabeda13ed614803f94b6c9ac2feaa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6d2c5806981c11ec0be8fc939429a2ce1163adc26de7d3abdb19082bc16325",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-22T13:37:38Z",
    "title_canon_sha256": "18668d8aa3ee3353420eae0a23c89acc42ac1e95e08355a9d15c22e9d62dfac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11841",
    "kind": "arxiv",
    "version": 2
  }
}