Pith Number

pith:OBQBYEV7

pith:2018:OBQBYEV7PWTSMSMXT55TDIGCCX

not attested not anchored not stored refs pending

Optimal Lebesgue constants for least squares polynomial approximation on the (hyper)sphere

Marc Van Barel, Woula Themistoclakis

arxiv:1808.03530 v1 · 2018-08-10 · 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{OBQBYEV7PWTSMSMXT55TDIGCCX}

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	2026-05-18T00:08:24.740673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70601c12bf7da72649979f7b31a0c215e9d12d67e4fdecb2de4a7ca795c06713

Aliases

arxiv: 1808.03530 · arxiv_version: 1808.03530v1 · doi: 10.48550/arxiv.1808.03530 · pith_short_12: OBQBYEV7PWTS · pith_short_16: OBQBYEV7PWTSMSMX · pith_short_8: OBQBYEV7

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/OBQBYEV7PWTSMSMXT55TDIGCCX \
  | 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: 70601c12bf7da72649979f7b31a0c215e9d12d67e4fdecb2de4a7ca795c06713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f828394c155d0a41e8191fdef52cc3aeadd5ea2d99ccc66390d989ac03114cf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-10T13:31:34Z",
    "title_canon_sha256": "66ed235068ad45e3b142cf62fdc9355834e4281fddc60ee7f4d46d34d89b43e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03530",
    "kind": "arxiv",
    "version": 1
  }
}