Pith Number

pith:5DNCY6UO

pith:2019:5DNCY6UOMJAIUIMHFCVN3HXLM5

not attested not anchored not stored refs pending

On the logical and computational properties of the Vitali covering theorem

Dag Normann, Sam Sanders

arxiv:1902.02756 v4 · 2019-02-07 · 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{5DNCY6UOMJAIUIMHFCVN3HXLM5}

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

Lifting countable to uncountable mathematics

Receipt and verification

First computed	2026-07-05T04:11:22.159748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8da2c7a8e62408a218728aadd9eeb676ee374e8d33f04b07218043e477e7b92

Aliases

arxiv: 1902.02756 · arxiv_version: 1902.02756v4 · doi: 10.48550/arxiv.1902.02756 · pith_short_12: 5DNCY6UOMJAI · pith_short_16: 5DNCY6UOMJAIUIMH · pith_short_8: 5DNCY6UO

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/5DNCY6UOMJAIUIMHFCVN3HXLM5 \
  | 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: e8da2c7a8e62408a218728aadd9eeb676ee374e8d33f04b07218043e477e7b92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb53598824a0bbd6d2cd6d5e509297f5e18ec7c2a8e44739b9689303fc8f1b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-02-07T18:26:56Z",
    "title_canon_sha256": "fb6b6c3b910bc9c4c99d8c79cd8603d38599658c012e5ec63cef1b8682aff2c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02756",
    "kind": "arxiv",
    "version": 4
  }
}