Pith Number

pith:JKQWL3BQ

pith:2005:JKQWL3BQIFKGOHGUBCTKVCMXGO

not attested not anchored not stored refs pending

Cubature Formulas for Symmetric Measures in Higher Dimensions with Few Points

Aicke Hinrichs, Erich Novak

arxiv:math/0509101 v2 · 2005-09-05 · 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{JKQWL3BQIFKGOHGUBCTKVCMXGO}

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	2026-06-03T22:06:17.689745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa165ec304154671cd408a6aa899733a5340843d32b27a664366de83503400c

Aliases

arxiv: math/0509101 · arxiv_version: math/0509101v2 · doi: 10.48550/arxiv.math/0509101 · pith_short_12: JKQWL3BQIFKG · pith_short_16: JKQWL3BQIFKGOHGU · pith_short_8: JKQWL3BQ

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/JKQWL3BQIFKGOHGUBCTKVCMXGO \
  | 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: 4aa165ec304154671cd408a6aa899733a5340843d32b27a664366de83503400c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd13be547396b66f818b4e37d31c472e677d2634931d255cb39bb585118d6d26",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2005-09-05T14:54:30Z",
    "title_canon_sha256": "003f94c2b4387313321511f03bbd6f5a93f1974cc639dfe9ef2700c4c4fcd079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509101",
    "kind": "arxiv",
    "version": 2
  }
}