Pith Number

pith:PL42RP4D

pith:2024:PL42RP4DN7GBXV3XMPICCK5UBI

not attested not anchored not stored refs pending

Divisibility classes of ultrafilters and their patterns

Boris \v{S}obot

arxiv:2412.19753 v2 · 2024-12-27 · 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{PL42RP4DN7GBXV3XMPICCK5UBI}

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	2026-07-05T11:13:17.770081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af9a8bf836fcc1bd77763d0212bb40a1dff11a1a27e66d23b52f2b973b34c78

Aliases

arxiv: 2412.19753 · arxiv_version: 2412.19753v2 · doi: 10.48550/arxiv.2412.19753 · pith_short_12: PL42RP4DN7GB · pith_short_16: PL42RP4DN7GBXV3X · pith_short_8: PL42RP4D

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/PL42RP4DN7GBXV3XMPICCK5UBI \
  | 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: 7af9a8bf836fcc1bd77763d0212bb40a1dff11a1a27e66d23b52f2b973b34c78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5021d6c45c976acfb1077d649a511d07033675ac04d5926110bb9f60bd8746f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-12-27T17:22:04Z",
    "title_canon_sha256": "409022247886b5391ba3b541d0f6b14c6429ef72fa1a9190ee76882152af2f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19753",
    "kind": "arxiv",
    "version": 2
  }
}