Pith Number

pith:YTVGZOBB

pith:2012:YTVGZOBBJJDN3B2XZWY5WC7K72

not attested not anchored not stored refs pending

On the convergence of double integrals and a generalized version of Fubini's theorem on successive integration

Ferenc Moricz

arxiv:1203.5191 v1 · 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{YTVGZOBBJJDN3B2XZWY5WC7K72}

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	2026-05-18T03:59:26.627462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ea6cb8214a46dd8757cdb1db0beafea8a0560c44846c95e6bc51806a550d4f

Aliases

arxiv: 1203.5191 · arxiv_version: 1203.5191v1 · doi: 10.48550/arxiv.1203.5191 · pith_short_12: YTVGZOBBJJDN · pith_short_16: YTVGZOBBJJDN3B2X · pith_short_8: YTVGZOBB

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/YTVGZOBBJJDN3B2XZWY5WC7K72 \
  | 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: c4ea6cb8214a46dd8757cdb1db0beafea8a0560c44846c95e6bc51806a550d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfed1205f7db5689e6f1fa1636ef5256609924b32c3667aa1f71d9d816dbe62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-23T07:25:36Z",
    "title_canon_sha256": "dee056fa745aaaccb6677de9275163ec5b654452ae384b5cea56730d67541bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5191",
    "kind": "arxiv",
    "version": 1
  }
}