Pith Number

pith:PZLOXMT3

pith:2025:PZLOXMT3Y7JZKDNY7WORSQZ7NI

not attested not anchored not stored refs pending

Quadrature formulas from rational approximations

Andrew Horning, Lloyd N. Trefethen

arxiv:2507.14971 v1 · 2025-07-20 · 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{PZLOXMT3Y7JZKDNY7WORSQZ7NI}

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	2026-07-05T11:40:16.062811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e56ebb27bc7d3950db8fd9d19433f6a1ce2c41062480ceb1160efa9de45ce69

Aliases

arxiv: 2507.14971 · arxiv_version: 2507.14971v1 · doi: 10.48550/arxiv.2507.14971 · pith_short_12: PZLOXMT3Y7JZ · pith_short_16: PZLOXMT3Y7JZKDNY · pith_short_8: PZLOXMT3

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/PZLOXMT3Y7JZKDNY7WORSQZ7NI \
  | 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: 7e56ebb27bc7d3950db8fd9d19433f6a1ce2c41062480ceb1160efa9de45ce69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35411af347aabbe306da2dd1c7fc69680f70c52dfaf7ec8d45e302cf0badd4d7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-20T14:03:29Z",
    "title_canon_sha256": "d9e874cc4a925440ef1dd9d50e46c2e8949af8aad259b7027ae2066d8347e71e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14971",
    "kind": "arxiv",
    "version": 1
  }
}