Pith Number

pith:BNHGQWLP

pith:2010:BNHGQWLPUPBW4VVH7MTITGW2K5

not attested not anchored not stored refs pending

Inequalities and majorisations for the Riemann-Stieltjes integral on time scales

Delfim F. M. Torres, Dorota Mozyrska, Ewa Pawluszewicz

arxiv:1003.4772 v2 · 2010-03-24 · 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{BNHGQWLPUPBW4VVH7MTITGW2K5}

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	2026-05-18T03:41:42.373608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b4e68596fa3c36e56a7fb26899ada577ad7642e70db672464069871bee524ad

Aliases

arxiv: 1003.4772 · arxiv_version: 1003.4772v2 · doi: 10.48550/arxiv.1003.4772 · pith_short_12: BNHGQWLPUPBW · pith_short_16: BNHGQWLPUPBW4VVH · pith_short_8: BNHGQWLP

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/BNHGQWLPUPBW4VVH7MTITGW2K5 \
  | 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: 0b4e68596fa3c36e56a7fb26899ada577ad7642e70db672464069871bee524ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed435ad28ad9daa295158ec70afbc1a3402e3b255b40d6463a87cafd08bc76c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-24T23:02:05Z",
    "title_canon_sha256": "a64f5e719ab6186ab72531800aae5aae29a738f6f9bbd810f81664ca9a40eadb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4772",
    "kind": "arxiv",
    "version": 2
  }
}