Pith Number

pith:ZED4DO4L

pith:2017:ZED4DO4LMQXGINCEVO5P3OMIRF

not attested not anchored not stored refs pending

A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory

Mikhail G. Katz, Vladimir Kanovei

arxiv:1705.00493 v1 · 2017-05-01 · math.CA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZED4DO4LMQXGINCEVO5P3OMIRF}

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	2026-05-18T00:45:17.096362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c907c1bb8b642e643444abbafdb988896b3e056344220ad13c21e1809359d6fa

Aliases

arxiv: 1705.00493 · arxiv_version: 1705.00493v1 · doi: 10.48550/arxiv.1705.00493 · pith_short_12: ZED4DO4LMQXG · pith_short_16: ZED4DO4LMQXGINCE · pith_short_8: ZED4DO4L

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/ZED4DO4LMQXGINCEVO5P3OMIRF \
  | 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: c907c1bb8b642e643444abbafdb988896b3e056344220ad13c21e1809359d6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5ff7b7888e1616384b29491262cedaafc8e8412dbafdca0d62039251ab17bef",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-01T12:18:18Z",
    "title_canon_sha256": "645d427cbe6eee560efc91c3b11fd5f0f7271bf92b99400c8737893c63e2dc0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00493",
    "kind": "arxiv",
    "version": 1
  }
}