Pith Number

pith:5KM6VLGS

pith:2017:5KM6VLGSWV4RYV2PF5OQT4YJRO

not attested not anchored not stored refs pending

No minimal tall Borel ideal in the Kat\v{e}tov order

Jan Greb\'ik, Michael Hru\v{s}\'ak

arxiv:1708.05322 v1 · 2017-08-17 · 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{5KM6VLGSWV4RYV2PF5OQT4YJRO}

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	2026-05-18T00:37:53.270645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea99eaacd2b5791c574f2f5d09f3098b951bf17b247e642606157381ebf0e545

Aliases

arxiv: 1708.05322 · arxiv_version: 1708.05322v1 · doi: 10.48550/arxiv.1708.05322 · pith_short_12: 5KM6VLGSWV4R · pith_short_16: 5KM6VLGSWV4RYV2P · pith_short_8: 5KM6VLGS

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/5KM6VLGSWV4RYV2PF5OQT4YJRO \
  | 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: ea99eaacd2b5791c574f2f5d09f3098b951bf17b247e642606157381ebf0e545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "218c221d666d1d55122ed3b9b7a57b22dc1e8d5d6350cf9e1dc8be03c27e74af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-17T14:56:21Z",
    "title_canon_sha256": "0fa5abd0dc16c1a00aea70bf362978b7e78ae2e1d3522d8b5fa74bdf25d56286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05322",
    "kind": "arxiv",
    "version": 1
  }
}