Pith Number

pith:WEE456EB

pith:2018:WEE456EBOSER4LE2RQ6U7NE2R3

not attested not anchored not stored refs pending

Factoring a minimal ultrafilter into a thick part and a syndetic part

Neil Hindman, Will Brian

arxiv:1805.07000 v1 · 2018-05-18 · math.LO · math.GN · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEE456EBOSER4LE2RQ6U7NE2R3}

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.

Cited by

1 paper in Pith

Subindices and subfactors of infinite groups and numbers

Receipt and verification

First computed	2026-05-18T00:15:41.403879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b109cef88174891e2c9a8c3d4fb49a8ef02707cae27e1bf497152ca19d7c7fb1

Aliases

arxiv: 1805.07000 · arxiv_version: 1805.07000v1 · doi: 10.48550/arxiv.1805.07000 · pith_short_12: WEE456EBOSER · pith_short_16: WEE456EBOSER4LE2 · pith_short_8: WEE456EB

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/WEE456EBOSER4LE2RQ6U7NE2R3 \
  | 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: b109cef88174891e2c9a8c3d4fb49a8ef02707cae27e1bf497152ca19d7c7fb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3770548acc0bbc48c4f32ce9e752e7d95a1d91013b217f3dc8ef482672c90ae5",
    "cross_cats_sorted": [
      "math.GN",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-05-18T00:28:14Z",
    "title_canon_sha256": "24c1ec601b50e857e9cbbbcb36d43b8065f1dbe36b3eca9dcc0fd606f82d20ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07000",
    "kind": "arxiv",
    "version": 1
  }
}