Pith Number

pith:VRUKAOGJ

pith:2013:VRUKAOGJFMOHABV22KVLPLUBPV

not attested not anchored not stored refs pending

On critical cardinalities related to $Q$-sets

Lubomyr Zdomskyy, Michal Machura, Taras Banakh

arxiv:1306.0204 v3 · 2013-06-02 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRUKAOGJFMOHABV22KVLPLUBPV}

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	2026-05-18T01:20:18.029631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac68a038c92b1c7006bad2aab7ae817d7f6037e8047b9ee5fd1b75e91da25db7

Aliases

arxiv: 1306.0204 · arxiv_version: 1306.0204v3 · doi: 10.48550/arxiv.1306.0204 · pith_short_12: VRUKAOGJFMOH · pith_short_16: VRUKAOGJFMOHABV2 · pith_short_8: VRUKAOGJ

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/VRUKAOGJFMOHABV22KVLPLUBPV \
  | 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: ac68a038c92b1c7006bad2aab7ae817d7f6037e8047b9ee5fd1b75e91da25db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01da2337d3c1fbddd8acc0da48c133b3e52c97f9d79703b27feaa36a43ec3e73",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-06-02T12:41:52Z",
    "title_canon_sha256": "30f48f80c396cd0a1fcbde28c3c6d6e000d47320794826fb2e877cade05355d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0204",
    "kind": "arxiv",
    "version": 3
  }
}