Pith Number

pith:OTCK6RYY

pith:2018:OTCK6RYYEDV5IUXR56XPWN4UUA

not attested not anchored not stored refs pending

Quadrature rules for $C^0$, $C^1$ splines, the real line, and the five (5) families

Helmut Ruhland

arxiv:1801.03388 v4 · 2018-01-09 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTCK6RYYEDV5IUXR56XPWN4UUA}

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.

Cited by

1 paper in Pith

Quadrature rules for $C^0$ and $C^1$ splines, a recipe

Receipt and verification

First computed	2026-05-18T00:16:14.079909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c4af471820ebd452f1efaefb3794a017a4882a42c62de0330d6bb8b3c0fa7c

Aliases

arxiv: 1801.03388 · arxiv_version: 1801.03388v4 · doi: 10.48550/arxiv.1801.03388 · pith_short_12: OTCK6RYYEDV5 · pith_short_16: OTCK6RYYEDV5IUXR · pith_short_8: OTCK6RYY

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/OTCK6RYYEDV5IUXR56XPWN4UUA \
  | 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: 74c4af471820ebd452f1efaefb3794a017a4882a42c62de0330d6bb8b3c0fa7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700e8bf9e51ff50dbc61c25c0d7c1aa33f88ea507de925914b95f3e0b046f7e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2018-01-09T17:54:20Z",
    "title_canon_sha256": "59b4651898bf002edd5c929a3ec1096232553511c1413c00796c3f6ea52ba4a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03388",
    "kind": "arxiv",
    "version": 4
  }
}