Pith Number

pith:OPYOK73C

pith:2006:OPYOK73CSR4GPJ4ED2VV6SBY5L

not attested not anchored not stored refs pending

Hurewicz sets of reals without perfect subsets

Boaz Tsaban, Du\v{s}an Repov\v{s}, Lyubomyr Zdomskyy

arxiv:math/0612148 v5 · 2006-12-06 · math.GN · 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{OPYOK73CSR4GPJ4ED2VV6SBY5L}

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	2026-05-18T04:16:10.931377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f0e57f62947867a7841eab5f4838eaecde82f988e7a2c1e55acea5969d4155

Aliases

arxiv: math/0612148 · arxiv_version: math/0612148v5 · doi: 10.48550/arxiv.math/0612148 · pith_short_12: OPYOK73CSR4G · pith_short_16: OPYOK73CSR4GPJ4E · pith_short_8: OPYOK73C

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/OPYOK73CSR4GPJ4ED2VV6SBY5L \
  | 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: 73f0e57f62947867a7841eab5f4838eaecde82f988e7a2c1e55acea5969d4155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad4c15d9d47ade095ddcce92c132b30ba4456708e9c45cbb33cae4ae62a5e122",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2006-12-06T10:35:23Z",
    "title_canon_sha256": "9d340a054743ab67c0dca65e83cba2406ac2956ced8b80faaee4fe452288df8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612148",
    "kind": "arxiv",
    "version": 5
  }
}