Pith Number

pith:SBZMX3IN

pith:2011:SBZMX3INACXLHRO2JJYT3HQRQH

not attested not anchored not stored refs pending

On Koksma-Hlawka inequality

G. Gigante, G. Travaglini, L. Brandolini, L. Colzani

arxiv:1106.4673 v1 · 2011-06-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBZMX3INACXLHRO2JJYT3HQRQH}

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	2026-05-18T04:19:31.707893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9072cbed0d00aeb3c5da4a713d9e1181cff4e2fedbb5ca8f55cf374a01d8a3db

Aliases

arxiv: 1106.4673 · arxiv_version: 1106.4673v1 · doi: 10.48550/arxiv.1106.4673 · pith_short_12: SBZMX3INACXL · pith_short_16: SBZMX3INACXLHRO2 · pith_short_8: SBZMX3IN

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/SBZMX3INACXLHRO2JJYT3HQRQH \
  | 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: 9072cbed0d00aeb3c5da4a713d9e1181cff4e2fedbb5ca8f55cf374a01d8a3db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6642bb0fac306329f6d521c59fcf37e44b454c90b47f7e1b7783ab099e342f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-23T10:20:33Z",
    "title_canon_sha256": "f9eb7340efef007282a8c8b89167537ff897ee9e67de6372ff196db470878ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4673",
    "kind": "arxiv",
    "version": 1
  }
}