Pith Number

pith:IE2ULMLT

pith:2019:IE2ULMLT5B3HLTNY3JH3DHXYBR

not attested not anchored not stored refs pending

Approximating the pth Root by Composite Rational Functions

Evan S. Gawlik, Yuji Nakatsukasa

arxiv:1906.11326 v1 · 2019-06-26 · math.NA · cs.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{IE2ULMLT5B3HLTNY3JH3DHXYBR}

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	2026-05-17T23:42:07.517501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

413545b173e87675cdb8da4fb19ef80c7cba4429fdbe03fddcde8824d8ae173f

Aliases

arxiv: 1906.11326 · arxiv_version: 1906.11326v1 · doi: 10.48550/arxiv.1906.11326 · pith_short_12: IE2ULMLT5B3H · pith_short_16: IE2ULMLT5B3HLTNY · pith_short_8: IE2ULMLT

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/IE2ULMLT5B3HLTNY3JH3DHXYBR \
  | 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: 413545b173e87675cdb8da4fb19ef80c7cba4429fdbe03fddcde8824d8ae173f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71f7c5a7c59b2644894f08b26a221626f7b64e6fb007b738ec994410d914d6f0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-26T20:15:52Z",
    "title_canon_sha256": "6a8e5d7f032d57d6a6415fb3bfff6de598177f6e7ca88418edf2cb13afa9f3b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11326",
    "kind": "arxiv",
    "version": 1
  }
}