Pith Number

pith:QBX5P7DZ

pith:2011:QBX5P7DZHJKJMXDRMCY7FB44AV

not attested not anchored not stored refs pending

Covering locally compact groups by less than $2^\om$ many translates of a compact nullset

\'Arp\'ad T\'oth, M\'arton Elekes

arxiv:1109.5308 v1 · 2011-09-24 · 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{QBX5P7DZHJKJMXDRMCY7FB44AV}

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	2026-05-18T04:12:20.064781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

806fd7fc793a54965c7160b1f2879c05793c97e1ca14c2dcc0562d03765e2568

Aliases

arxiv: 1109.5308 · arxiv_version: 1109.5308v1 · doi: 10.48550/arxiv.1109.5308 · pith_short_12: QBX5P7DZHJKJ · pith_short_16: QBX5P7DZHJKJMXDR · pith_short_8: QBX5P7DZ

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/QBX5P7DZHJKJMXDRMCY7FB44AV \
  | 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: 806fd7fc793a54965c7160b1f2879c05793c97e1ca14c2dcc0562d03765e2568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99d734eaa0a7f7c7e5586de5cf81bb25529a5526b3ffce2728d3903fbb46e24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-09-24T21:03:20Z",
    "title_canon_sha256": "763b5c64fd0164382ec58fbafae110d44a1ba9eb3e1af713ba85b43a08a97b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5308",
    "kind": "arxiv",
    "version": 1
  }
}