Pith Number

pith:D65JM4OM

pith:2012:D65JM4OMB3D2UWWMLBDIIZKYYO

not attested not anchored not stored refs pending

A simple proof of the Fundamental Theorem of Calculus for the Lebesgue integral

Rodrigo L\'opez Pouso

arxiv:1203.1462 v1 · 2012-03-07 · 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{D65JM4OMB3D2UWWMLBDIIZKYYO}

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	2026-05-18T04:00:38.657926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fba9671cc0ec7aa5acc5846846558c391b9846ad5eff7e207c2efbb419df289

Aliases

arxiv: 1203.1462 · arxiv_version: 1203.1462v1 · doi: 10.48550/arxiv.1203.1462 · pith_short_12: D65JM4OMB3D2 · pith_short_16: D65JM4OMB3D2UWWM · pith_short_8: D65JM4OM

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/D65JM4OMB3D2UWWMLBDIIZKYYO \
  | 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: 1fba9671cc0ec7aa5acc5846846558c391b9846ad5eff7e207c2efbb419df289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b879ea9d936a91a75de90acf9a2e0e5738cdd1d4ee1f55d4a9f3f5f8361e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-07T13:23:34Z",
    "title_canon_sha256": "c61114b8bfb6bae00b5b5d7ecd0448fa848af43cbdf608a621b5e38aae38b7d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1462",
    "kind": "arxiv",
    "version": 1
  }
}