Pith Number

pith:2VIRCOB5

pith:2011:2VIRCOB5LGC2BIS2TUCTTDUPMZ

not attested not anchored not stored refs pending

How high can Baumgartner's {\cal I}-ultrafilters lie in the P-hierarchy?

Andrzej Starosolski, Micha{\l} Machura

arxiv:1108.1818 v4 · 2011-08-08 · 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{2VIRCOB5LGC2BIS2TUCTTDUPMZ}

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	2026-05-18T04:08:03.555383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55111383d5985a0a25a9d05398e8f667588bbf4c68b5527d140441ca3a2d0fb

Aliases

arxiv: 1108.1818 · arxiv_version: 1108.1818v4 · doi: 10.48550/arxiv.1108.1818 · pith_short_12: 2VIRCOB5LGC2 · pith_short_16: 2VIRCOB5LGC2BIS2 · pith_short_8: 2VIRCOB5

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/2VIRCOB5LGC2BIS2TUCTTDUPMZ \
  | 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: d55111383d5985a0a25a9d05398e8f667588bbf4c68b5527d140441ca3a2d0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caac74b03892d44212bde8d34b61c4d56da23aa82bc1b15124a36f3f4cca149c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-08-08T21:28:15Z",
    "title_canon_sha256": "6aa1f0297bf2fb513176d6f34da252cdb73e36ea0ad2965bbd76134266cb6eba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1818",
    "kind": "arxiv",
    "version": 4
  }
}