Pith Number

pith:EEAP5ANK

pith:2010:EEAP5ANKOJEGXWUF4ABCQKBUKA

not attested not anchored not stored refs pending

Polynomial of best uniform approximation to $x^{-1}$ and smoothing in two-level methods

Johannes K. Kraus, Ludmil T. Zikatanov, Panayot S. Vassilevski

arxiv:1002.1859 v3 · 2010-02-09 · 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{EEAP5ANKOJEGXWUF4ABCQKBUKA}

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	2026-05-18T03:55:03.020460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2100fe81aa72486bda85e002282834503860c2d16eeb622810e97d8fbf1f5096

Aliases

arxiv: 1002.1859 · arxiv_version: 1002.1859v3 · doi: 10.48550/arxiv.1002.1859 · pith_short_12: EEAP5ANKOJEG · pith_short_16: EEAP5ANKOJEGXWUF · pith_short_8: EEAP5ANK

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/EEAP5ANKOJEGXWUF4ABCQKBUKA \
  | 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: 2100fe81aa72486bda85e002282834503860c2d16eeb622810e97d8fbf1f5096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c97ee04c11cf8f6ad569474a2239102a0aff62074c455bc21c4f107a261850",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-02-09T13:55:49Z",
    "title_canon_sha256": "ce32e5e419df50017f3d1a8940168494cf0afb9630eff1e74c37cb88dcef6952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1859",
    "kind": "arxiv",
    "version": 3
  }
}