Pith Number

pith:4S2T7QWF

pith:2018:4S2T7QWFQ647SSBMLYPR47UOMH

not attested not anchored not stored refs pending

Least Squares Rational Approximation

Caleb C. Magruder, Jeffrey M. Hokanson

arxiv:1811.12590 v1 · 2018-11-30 · 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{4S2T7QWFQ647SSBMLYPR47UOMH}

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	2026-05-17T23:59:29.151842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b53fc2c587b9f9482c5e1f1e7e8e61f0b39ae48b89c46ea460121e345ff567

Aliases

arxiv: 1811.12590 · arxiv_version: 1811.12590v1 · doi: 10.48550/arxiv.1811.12590 · pith_short_12: 4S2T7QWFQ647 · pith_short_16: 4S2T7QWFQ647SSBM · pith_short_8: 4S2T7QWF

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/4S2T7QWFQ647SSBMLYPR47UOMH \
  | 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: e4b53fc2c587b9f9482c5e1f1e7e8e61f0b39ae48b89c46ea460121e345ff567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a518b06ece5e6b83440ae6985ee7a827bdf66427b97950e92576eb5e11fa108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-30T02:49:25Z",
    "title_canon_sha256": "92c5c77c7a9b3b9a81f02fc0682331d215085b480f0dd4220ee5291265b39b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12590",
    "kind": "arxiv",
    "version": 1
  }
}