Pith Number

pith:M2ALAZPV

pith:2019:M2ALAZPVSQRAE5EOTJGL2BSRUY

not attested not anchored not stored refs pending

Cardinal invariants of Haar null and Haar meager sets

M\'ark Po\'or, M\'arton Elekes

arxiv:1908.05776 v4 · 2019-08-15 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2ALAZPVSQRAE5EOTJGL2BSRUY}

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	2026-07-05T01:59:09.480222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6680b065f5942202748e9a4cbd0651a6245b6bd69fad2687b0e917828e0ae48d

Aliases

arxiv: 1908.05776 · arxiv_version: 1908.05776v4 · doi: 10.48550/arxiv.1908.05776 · pith_short_12: M2ALAZPVSQRA · pith_short_16: M2ALAZPVSQRAE5EO · pith_short_8: M2ALAZPV

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/M2ALAZPVSQRAE5EOTJGL2BSRUY \
  | 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: 6680b065f5942202748e9a4cbd0651a6245b6bd69fad2687b0e917828e0ae48d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9acfc6ffeebdd1c042890ca41d07a78a8d33528185df686b9b257ce5bb80c356",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-08-15T21:40:41Z",
    "title_canon_sha256": "d3a05cbd4533e8926c4bda43451933b0dc6cf33db8aef9b60867828b17b0cdca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05776",
    "kind": "arxiv",
    "version": 4
  }
}