Pith Number

pith:5LZ3MKQN

pith:2015:5LZ3MKQNN4TQVNWCBTD5ISXVXH

not attested not anchored not stored refs pending

Naively Haar null sets in Polish groups

M\'arton Elekes, Zolt\'an Vidny\'anszky

arxiv:1508.02227 v1 · 2015-08-10 · 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{5LZ3MKQNN4TQVNWCBTD5ISXVXH}

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	2026-05-18T01:35:33.820570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf3b62a0d6f270ab6c20cc7d44af5b9c3039fddf97e1a48bce6ab9583ed537f

Aliases

arxiv: 1508.02227 · arxiv_version: 1508.02227v1 · doi: 10.48550/arxiv.1508.02227 · pith_short_12: 5LZ3MKQNN4TQ · pith_short_16: 5LZ3MKQNN4TQVNWC · pith_short_8: 5LZ3MKQN

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/5LZ3MKQNN4TQVNWCBTD5ISXVXH \
  | 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: eaf3b62a0d6f270ab6c20cc7d44af5b9c3039fddf97e1a48bce6ab9583ed537f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16eb9d504415e388a2e77c35568d401584b94428e8f16087f1e135c4d446dba8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-08-10T12:57:53Z",
    "title_canon_sha256": "6ab8ac1304bd717bd6b2004cd199265f7cadf863c35f9332921392c5b9552f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02227",
    "kind": "arxiv",
    "version": 1
  }
}