Pith Number

pith:VSTBIK32

pith:2020:VSTBIK32NOYF2KGHHLWC4LGYED

not attested not anchored not stored refs pending

A categorical derivation of Lebesgue integration

Tom Leinster

arxiv:2011.00412 v3 · 2020-11-01 · math.FA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSTBIK32NOYF2KGHHLWC4LGYED}

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.

Cited by

1 paper in Pith

Orthocomplemented subspaces and partial projections on a Hilbert space

Receipt and verification

First computed	2026-07-05T05:36:43.842979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca6142b7a6bb05d28c73aec2e2cd820d1c72361f0a7acfe89620fe56f383054

Aliases

arxiv: 2011.00412 · arxiv_version: 2011.00412v3 · doi: 10.48550/arxiv.2011.00412 · pith_short_12: VSTBIK32NOYF · pith_short_16: VSTBIK32NOYF2KGH · pith_short_8: VSTBIK32

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/VSTBIK32NOYF2KGHHLWC4LGYED \
  | 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: aca6142b7a6bb05d28c73aec2e2cd820d1c72361f0a7acfe89620fe56f383054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6a3e7b227a25a63563199cee3c6a88dba1cbcf2110242e424adff4c58a896f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-11-01T03:55:23Z",
    "title_canon_sha256": "087a304e168e4fce927a11537f1df97e526713114671b7650981a82b86331b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.00412",
    "kind": "arxiv",
    "version": 3
  }
}