Pith Number

pith:CKWJXEIN

pith:2010:CKWJXEINYWSK3IIIPV3LNIX3GF

not attested not anchored not stored refs pending

Bernstein sets and $\kappa$-coverings

J. Kraszewski, P. Szczepaniak, R. Ralowski, S. Zeberski

arxiv:1009.0818 v1 · 2010-09-04 · 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{CKWJXEINYWSK3IIIPV3LNIX3GF}

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	2026-05-18T04:41:24.528419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ac9b910dc5a4ada1087d76b6a2fb3172c3f8f1a461d2f888b93d89235a58a9

Aliases

arxiv: 1009.0818 · arxiv_version: 1009.0818v1 · doi: 10.48550/arxiv.1009.0818 · pith_short_12: CKWJXEINYWSK · pith_short_16: CKWJXEINYWSK3III · pith_short_8: CKWJXEIN

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/CKWJXEINYWSK3IIIPV3LNIX3GF \
  | 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: 12ac9b910dc5a4ada1087d76b6a2fb3172c3f8f1a461d2f888b93d89235a58a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cca5cb68dfa21b6f218b2a3e17d8fde39cbedf2461f20cdc86dc73498277294b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-09-04T10:01:44Z",
    "title_canon_sha256": "111c653c3f092d9a355ac2c41174ecf685c882c1f70c452467b0ad875e293065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0818",
    "kind": "arxiv",
    "version": 1
  }
}