Pith Number

pith:KSHYXQVJ

pith:2012:KSHYXQVJFUG4M5HRV4PR2I5NRN

not attested not anchored not stored refs pending

A Simple Derivation of Newton-Cotes Formulas with Realistic Errors

M\'ario M. Gra\c{c}a

arxiv:1202.0237 v1 · 2012-02-01 · 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{KSHYXQVJFUG4M5HRV4PR2I5NRN}

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	2026-05-18T04:03:19.832266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

548f8bc2a92d0dc674f1af1f1d23ad8b494ae291252b671a923c74fd3b6495e0

Aliases

arxiv: 1202.0237 · arxiv_version: 1202.0237v1 · doi: 10.48550/arxiv.1202.0237 · pith_short_12: KSHYXQVJFUG4 · pith_short_16: KSHYXQVJFUG4M5HR · pith_short_8: KSHYXQVJ

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/KSHYXQVJFUG4M5HRV4PR2I5NRN \
  | 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: 548f8bc2a92d0dc674f1af1f1d23ad8b494ae291252b671a923c74fd3b6495e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269cb271c0f6852987cf506740403d8508ee16043e6d5ba2e9874a77eedfe06d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-01T18:34:22Z",
    "title_canon_sha256": "e72b1cf2d3ac74b79079114595bb1599c95db79265bce23dfa9678ea275c254f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0237",
    "kind": "arxiv",
    "version": 1
  }
}