Pith Number

pith:F4RWXCCD

pith:2019:F4RWXCCDWT7TLFN7C6S236S4BJ

not attested not anchored not stored refs pending

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

Helmut Ruhland

arxiv:1908.06199 v1 · 2019-08-16 · 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{F4RWXCCDWT7TLFN7C6S236S4BJ}

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	2026-07-04T23:58:13.435171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f236b8843b4ff3595bf17a5adfa5c0a6750bdaf59ed8d9b3c11366342030b5f

Aliases

arxiv: 1908.06199 · arxiv_version: 1908.06199v1 · doi: 10.48550/arxiv.1908.06199 · pith_short_12: F4RWXCCDWT7T · pith_short_16: F4RWXCCDWT7TLFN7 · pith_short_8: F4RWXCCD

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/F4RWXCCDWT7TLFN7C6S236S4BJ \
  | 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: 2f236b8843b4ff3595bf17a5adfa5c0a6750bdaf59ed8d9b3c11366342030b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86bb29cbd180134c9d1ae4ecd1e093668dacc83b678919a9a7257f6a68cbdb08",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-16T22:48:21Z",
    "title_canon_sha256": "d82b950d5ae75ac5cea19be735ee8fae293a24d5aeeddecc1621a4d6ebc52ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06199",
    "kind": "arxiv",
    "version": 1
  }
}