Pith Number

pith:G5FZ47WS

pith:2012:G5FZ47WSTJBBD35PMPFIJMO5NR

not attested not anchored not stored refs pending

On the positivity of Riemann-Stieltjes integrals

Jani Lukkarinen, Mikko S. Pakkanen

arxiv:1203.5276 v2 · 2012-03-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5FZ47WSTJBBD35PMPFIJMO5NR}

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	2026-05-18T03:22:06.245734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374b9e7ed29a4211efaf63ca84b1dd6c6fc0dde8c9b9bee37e95591beb13d14f

Aliases

arxiv: 1203.5276 · arxiv_version: 1203.5276v2 · doi: 10.48550/arxiv.1203.5276 · pith_short_12: G5FZ47WSTJBB · pith_short_16: G5FZ47WSTJBBD35P · pith_short_8: G5FZ47WS

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/G5FZ47WSTJBBD35PMPFIJMO5NR \
  | 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: 374b9e7ed29a4211efaf63ca84b1dd6c6fc0dde8c9b9bee37e95591beb13d14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c04d397b7e27b61360d2861766202b54c8539a5181fafd9cd35e730ab8cebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-23T16:00:33Z",
    "title_canon_sha256": "0d9ca4ddd77a2b6104866abcbbed52c3e56c58390180042eb88380bc2ed5d88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5276",
    "kind": "arxiv",
    "version": 2
  }
}