Pith Number

pith:I3DIXN3G

pith:2017:I3DIXN3GFUI5VKNREJH6BIP4YX

not attested not anchored not stored refs pending

Rational minimax approximation via adaptive barycentric representations

Bernhard Beckermann, Lloyd N. Trefethen, Silviu-Ioan Filip, Yuji Nakatsukasa

arxiv:1705.10132 v3 · 2017-05-29 · 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{I3DIXN3GFUI5VKNREJH6BIP4YX}

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	2026-05-18T00:16:14.583899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c68bb7662d11daa9b1224fe0a1fcc5da8cfab60785df54643f461ea84ca3db

Aliases

arxiv: 1705.10132 · arxiv_version: 1705.10132v3 · doi: 10.48550/arxiv.1705.10132 · pith_short_12: I3DIXN3GFUI5 · pith_short_16: I3DIXN3GFUI5VKNR · pith_short_8: I3DIXN3G

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/I3DIXN3GFUI5VKNREJH6BIP4YX \
  | 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: 46c68bb7662d11daa9b1224fe0a1fcc5da8cfab60785df54643f461ea84ca3db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1f23dfe07e782526025698fb145587f9968789061d02bf54dc311bc4d28570",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-05-29T11:45:02Z",
    "title_canon_sha256": "197179b2005479915c22ec1f69311fe7f9514416cfc228592555ab666206d0cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10132",
    "kind": "arxiv",
    "version": 3
  }
}