Pith Number

pith:3YK2GUX3

pith:2017:3YK2GUX33BN7XMJ3LCPWGRBP2K

not attested not anchored not stored refs pending

Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces

Huiyuan Li, Li-Lian Wang, Wenjie Liu

arxiv:1707.00840 v3 · 2017-07-04 · 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{3YK2GUX33BN7XMJ3LCPWGRBP2K}

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	2026-05-17T23:45:04.924032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de15a352fbd85bfbb13b589f63442fd294fa1efe04efab3005833ed5a74aab11

Aliases

arxiv: 1707.00840 · arxiv_version: 1707.00840v3 · doi: 10.48550/arxiv.1707.00840 · pith_short_12: 3YK2GUX33BN7 · pith_short_16: 3YK2GUX33BN7XMJ3 · pith_short_8: 3YK2GUX3

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/3YK2GUX33BN7XMJ3LCPWGRBP2K \
  | 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: de15a352fbd85bfbb13b589f63442fd294fa1efe04efab3005833ed5a74aab11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abd8e57ddc38fede9292e57da1cb314f2e8a256f581743493110de80bb486d03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-07-04T07:53:12Z",
    "title_canon_sha256": "ef4c9ac37388844498c5dd4a2c511c2fda94fd057bfab1b3e3594f8d762089cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00840",
    "kind": "arxiv",
    "version": 3
  }
}