Pith Number

pith:NS3ABWI3

pith:2011:NS3ABWI3SU7Z4EJYBVDLQFANS5

not attested not anchored not stored refs pending

Borel sets which are null or non-$\sigma$-finite for every translation invariant measure

M\'arton Elekes, Tam\'as Keleti

arxiv:1109.5309 v1 · 2011-09-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NS3ABWI3SU7Z4EJYBVDLQFANS5}

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	2026-05-18T04:12:20.056934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cb600d91b953f9e11380d46b8140d977fef1567bc57fb305e195852d1185d2f

Aliases

arxiv: 1109.5309 · arxiv_version: 1109.5309v1 · doi: 10.48550/arxiv.1109.5309 · pith_short_12: NS3ABWI3SU7Z · pith_short_16: NS3ABWI3SU7Z4EJY · pith_short_8: NS3ABWI3

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/NS3ABWI3SU7Z4EJYBVDLQFANS5 \
  | 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: 6cb600d91b953f9e11380d46b8140d977fef1567bc57fb305e195852d1185d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0d892fd133ccc258951f86e482e5dae3d4d727a81ba9e3ede15e5fa0e6fb09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-24T21:08:37Z",
    "title_canon_sha256": "e554b2f12db329084740504553dcf473714195c753c3dca5954429cbec9a4cc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5309",
    "kind": "arxiv",
    "version": 1
  }
}