Pith Number

pith:2GT42266

pith:2010:2GT42266GX2T6YLXV2E4VEUDFA

not attested not anchored not stored refs pending

On the Menger covering property and $D$-spaces

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

arxiv:1012.1094 v1 · 2010-12-06 · 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{2GT42266GX2T6YLXV2E4VEUDFA}

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	2026-05-18T04:07:06.742480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a7cd6bde35f53f6177ae89ca9283280715dcc1d5910715d5c1fcc7381471b5

Aliases

arxiv: 1012.1094 · arxiv_version: 1012.1094v1 · doi: 10.48550/arxiv.1012.1094 · pith_short_12: 2GT42266GX2T · pith_short_16: 2GT42266GX2T6YLX · pith_short_8: 2GT42266

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/2GT42266GX2T6YLXV2E4VEUDFA \
  | 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: d1a7cd6bde35f53f6177ae89ca9283280715dcc1d5910715d5c1fcc7381471b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3ac5b0b663044ca20cb546d636bc46a3d96b3c60b2b974b75eda6972f9b0538",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-12-06T08:44:58Z",
    "title_canon_sha256": "6b90981194c812e57b50a2b82aa022f8a3849704108fcdf4b93daef0f4770575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1094",
    "kind": "arxiv",
    "version": 1
  }
}