Pith Number

pith:KDZM4OVX

pith:2008:KDZM4OVXET5KX7YBCFZQBMJHVF

not attested not anchored not stored refs pending

The nonmeasurability of Bernstein sets and related topics

Cheng Hao

arxiv:0809.0540 v3 · 2008-09-03 · 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{KDZM4OVXET5KX7YBCFZQBMJHVF}

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	2026-05-18T04:07:06.910979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f2ce3ab724faabff01117300b127a96f6deee34f8309df4030d0d0a3053454

Aliases

arxiv: 0809.0540 · arxiv_version: 0809.0540v3 · doi: 10.48550/arxiv.0809.0540 · pith_short_12: KDZM4OVXET5K · pith_short_16: KDZM4OVXET5KX7YB · pith_short_8: KDZM4OVX

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/KDZM4OVXET5KX7YBCFZQBMJHVF \
  | 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: 50f2ce3ab724faabff01117300b127a96f6deee34f8309df4030d0d0a3053454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d87b8a25f8f92c284d0bc12dcaa7a6c41d6ff1fd5b76298eb909b07bcd4c6db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-09-03T02:35:02Z",
    "title_canon_sha256": "644b71473f52192cb21e7ba9b484648e85b1fd79cd69828c75387edecb7bb884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0540",
    "kind": "arxiv",
    "version": 3
  }
}