Pith Number

pith:EL4GTSTD

pith:2011:EL4GTSTDY2TMKSRUNQF325K4KB

not attested not anchored not stored refs pending

A New Proof of the Monotone Convergence Theorem of Lebesgue Integral on \sigma-Class

Dinh Trung Hoa

arxiv:1102.3873 v2 · 2011-02-18 · math.FA · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EL4GTSTDY2TMKSRUNQF325K4KB}

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	2026-05-18T04:06:19.068275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f869ca63c6a6c54a346c0bbd755c505422e6fcaab9fed5038d6f253f003b90

Aliases

arxiv: 1102.3873 · arxiv_version: 1102.3873v2 · doi: 10.48550/arxiv.1102.3873 · pith_short_12: EL4GTSTDY2TM · pith_short_16: EL4GTSTDY2TMKSRU · pith_short_8: EL4GTSTD

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/EL4GTSTDY2TMKSRUNQF325K4KB \
  | 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: 22f869ca63c6a6c54a346c0bbd755c505422e6fcaab9fed5038d6f253f003b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e43e194dea28a2b2974642356fd4108a72298e857ef95a5d5fbf7731c1c161d",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-18T17:02:06Z",
    "title_canon_sha256": "6fe20e68f8d61b7576bf1fc39f5ca2ae42afc34ba8c92a0fd0263e4718c3d643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3873",
    "kind": "arxiv",
    "version": 2
  }
}