Pith Number

pith:U46WSF2M

pith:2016:U46WSF2M3VA7CPYA62IBNCZ6TU

not attested not anchored not stored refs pending

Multivariate polynomial approximation in the hypercube

Lloyd N. Trefethen

arxiv:1608.02216 v1 · 2016-08-07 · 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{U46WSF2M3VA7CPYA62IBNCZ6TU}

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	2026-05-18T01:09:40.720869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73d69174cdd41f13f00f690168b3e9d1fc5b5fca4bea939baf7a1d931abd72c

Aliases

arxiv: 1608.02216 · arxiv_version: 1608.02216v1 · doi: 10.48550/arxiv.1608.02216 · pith_short_12: U46WSF2M3VA7 · pith_short_16: U46WSF2M3VA7CPYA · pith_short_8: U46WSF2M

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/U46WSF2M3VA7CPYA62IBNCZ6TU \
  | 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: a73d69174cdd41f13f00f690168b3e9d1fc5b5fca4bea939baf7a1d931abd72c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1ff3f13bc6f0af9979008972a74cfaeafb2a51232dc5c946d965280fe720095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-07T13:53:53Z",
    "title_canon_sha256": "668eef813b3795fffcd24aac281eb72d46c2120c2cf33cabb53dae38738b5437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02216",
    "kind": "arxiv",
    "version": 1
  }
}