Pith Number

pith:SAGBWPYK

pith:2026:SAGBWPYKCGNDLKYYL5CXLUGWUO

not attested not anchored not stored refs pending

A characterization of Projective and Weakly Projective Boolean Algebras

Andrzej Kucharski, S{\l}awomir Turek

arxiv:2606.09580 v1 · 2026-06-08 · 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{SAGBWPYKCGNDLKYYL5CXLUGWUO}

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	2026-06-09T02:08:57.258994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

900c1b3f0a119a35ab185f4575d0d6a388a8b433024e3769dd592a72807103b8

Aliases

arxiv: 2606.09580 · arxiv_version: 2606.09580v1 · doi: 10.48550/arxiv.2606.09580 · pith_short_12: SAGBWPYKCGND · pith_short_16: SAGBWPYKCGNDLKYY · pith_short_8: SAGBWPYK

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/SAGBWPYKCGNDLKYYL5CXLUGWUO \
  | 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: 900c1b3f0a119a35ab185f4575d0d6a388a8b433024e3769dd592a72807103b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed6015c8925dd98c7e11ec8ea1a440f6fc7613f4cfeda1ada260279791bfeb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-08T14:55:27Z",
    "title_canon_sha256": "c5cb527dab3e1e6e308040646ebca69ed8eb31e18034ad95f9bde6c478a28dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09580",
    "kind": "arxiv",
    "version": 1
  }
}