Pith Number

pith:6E57T23D

pith:2018:6E57T23DSSME7A3366ZWLKKQKJ

not attested not anchored not stored refs pending

Rational approximation of $x^n$

Lloyd N. Trefethen, Yuji Nakatsukasa

arxiv:1801.01092 v1 · 2018-01-03 · 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{6E57T23DSSME7A3366ZWLKKQKJ}

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	2026-05-18T00:26:47.839640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f13bf9eb6394984f837bf7b365a9505255c0fe8975e5a906a40657f2a7033280

Aliases

arxiv: 1801.01092 · arxiv_version: 1801.01092v1 · doi: 10.48550/arxiv.1801.01092 · pith_short_12: 6E57T23DSSME · pith_short_16: 6E57T23DSSME7A33 · pith_short_8: 6E57T23D

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/6E57T23DSSME7A3366ZWLKKQKJ \
  | 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: f13bf9eb6394984f837bf7b365a9505255c0fe8975e5a906a40657f2a7033280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56bc69824e785fa88390e83c5ffe6a576189f2a207fad218e982f943edb93924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-01-03T17:41:51Z",
    "title_canon_sha256": "921633b4ea5b6605e59d007f4a67bb68952d0c78d562005415ce004793e31749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01092",
    "kind": "arxiv",
    "version": 1
  }
}