Pith Number

pith:4AJUQWGD

pith:2014:4AJUQWGDRIHDI4TPIUBNR5ZHRH

not attested not anchored not stored refs pending

Bounded convergence theorem for abstract Kurzweil-Stieltjes integral

Giselle Antunes Monteiro, Milan Tvrdy, Umi Mahnuna Hanung

arxiv:1412.0993 v2 · 2014-12-02 · 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{4AJUQWGDRIHDI4TPIUBNR5ZHRH}

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	2026-05-18T02:31:29.680550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0134858c38a0e34726f4502d8f72789c7d371317a8c8693afd29918c327b436

Aliases

arxiv: 1412.0993 · arxiv_version: 1412.0993v2 · doi: 10.48550/arxiv.1412.0993 · pith_short_12: 4AJUQWGDRIHD · pith_short_16: 4AJUQWGDRIHDI4TP · pith_short_8: 4AJUQWGD

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/4AJUQWGDRIHDI4TPIUBNR5ZHRH \
  | 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: e0134858c38a0e34726f4502d8f72789c7d371317a8c8693afd29918c327b436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f76d245fb382bc42385043de480771974b30ba9cd7702845d98b80b2d72e9f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-02T17:48:54Z",
    "title_canon_sha256": "a475da6a1772fc88be227ac78c3cb2fb05d124216af94420867333d34760c929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0993",
    "kind": "arxiv",
    "version": 2
  }
}