Pith Number

pith:LSYR2FIR

pith:2018:LSYR2FIRUXXAI5RPIUHWLU2GBR

not attested not anchored not stored refs pending

A simplified construction of the Lebesgue integral

Vilmos Komornik

arxiv:1805.07289 v1 · 2018-05-18 · 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{LSYR2FIRUXXAI5RPIUHWLU2GBR}

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	2026-05-18T00:15:38.662204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb11d1511a5ee04762f450f65d3460c6994c72ceb0e7ca974e57dcd3b6d7703

Aliases

arxiv: 1805.07289 · arxiv_version: 1805.07289v1 · doi: 10.48550/arxiv.1805.07289 · pith_short_12: LSYR2FIRUXXA · pith_short_16: LSYR2FIRUXXAI5RP · pith_short_8: LSYR2FIR

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/LSYR2FIRUXXAI5RPIUHWLU2GBR \
  | 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: 5cb11d1511a5ee04762f450f65d3460c6994c72ceb0e7ca974e57dcd3b6d7703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4d40d737117911dc731e7afcac9f94104d86c6c4179688072d52bd056257d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-18T15:36:23Z",
    "title_canon_sha256": "09c3fcc879d161b6e3f4597d47112d93005a576413e6aae40f41c6a8ea8a4071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07289",
    "kind": "arxiv",
    "version": 1
  }
}