Pith Number

pith:PP2ZLSWZ

pith:2009:PP2ZLSWZIOJ5YAP37Q7B4PK5FR

not attested not anchored not stored refs pending

Simple Universal Bounds for Chebyshev-Type Quadratures

Ron Peled

arxiv:0903.4625 v2 · 2009-03-26 · math.CA · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP2ZLSWZIOJ5YAP37Q7B4PK5FR}

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	2026-05-18T00:48:55.656359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf595cad94393dc01fbfc3e1e3d5d2c756881839f3712b77b6ac928959d27ab

Aliases

arxiv: 0903.4625 · arxiv_version: 0903.4625v2 · doi: 10.48550/arxiv.0903.4625 · pith_short_12: PP2ZLSWZIOJ5 · pith_short_16: PP2ZLSWZIOJ5YAP3 · pith_short_8: PP2ZLSWZ

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/PP2ZLSWZIOJ5YAP37Q7B4PK5FR \
  | 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: 7bf595cad94393dc01fbfc3e1e3d5d2c756881839f3712b77b6ac928959d27ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d2d2bd86ca7f2cf14874e3b06dc8cae25cf17c2632d19f681408b0e9fb3057",
    "cross_cats_sorted": [
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-03-26T17:39:41Z",
    "title_canon_sha256": "af0f577555f28622da388517ab144ad790c3a54e783e58201d5dbf152ff2a858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4625",
    "kind": "arxiv",
    "version": 2
  }
}