Pith Number

pith:AA5EL5HD

pith:2019:AA5EL5HDPZ5UXSZWQ6R2AMNWS3

not attested not anchored not stored refs pending

An algorithm for real and complex rational minimax approximation

Lloyd N. Trefethen, Yuji Nakatsukasa

arxiv:1908.06001 v1 · 2019-08-16 · 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{AA5EL5HDPZ5UXSZWQ6R2AMNWS3}

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	2026-07-04T23:57:55.115834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

003a45f4e37e7b4bcb3687a3a031b696e02c0ef0363f50bb8756636c2ae56c8e

Aliases

arxiv: 1908.06001 · arxiv_version: 1908.06001v1 · doi: 10.48550/arxiv.1908.06001 · pith_short_12: AA5EL5HDPZ5U · pith_short_16: AA5EL5HDPZ5UXSZW · pith_short_8: AA5EL5HD

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/AA5EL5HDPZ5UXSZWQ6R2AMNWS3 \
  | 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: 003a45f4e37e7b4bcb3687a3a031b696e02c0ef0363f50bb8756636c2ae56c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e664e56021b122def564ce2ab8f6e90ff78c5f7b7d9291c0bd7530f0b9e99c4",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-16T15:04:59Z",
    "title_canon_sha256": "9e1a2201bbdb9d6ddf56ab4c595d7d646572b99db273ee1b9a0bfa3e120992bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06001",
    "kind": "arxiv",
    "version": 1
  }
}