Pith Number

pith:7JFJSHCB

pith:2025:7JFJSHCB2LPRBVNKZX7KSS55WL

not attested not anchored not stored refs pending

Oscillating subalgebras of the atomless countable Boolean algebra

Andy Zucker, Barbara Csima, Dana Barto\v{s}ov\'a, David Chodounsk\'y, Jan Hubi\v{c}ka, Joey Lakerdas-Gayle, Mat\v{e}j Kone\v{c}n\'y, Spencer Unger

arxiv:2505.22603 v1 · 2025-05-28 · math.LO · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JFJSHCB2LPRBVNKZX7KSS55WL}

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	2026-07-05T11:11:27.550533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4a991c41d2df10d5aacdfea94bbdb2c98a5a209fa80a563d028e36798db0cd

Aliases

arxiv: 2505.22603 · arxiv_version: 2505.22603v1 · doi: 10.48550/arxiv.2505.22603 · pith_short_12: 7JFJSHCB2LPR · pith_short_16: 7JFJSHCB2LPRBVNK · pith_short_8: 7JFJSHCB

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/7JFJSHCB2LPRBVNKZX7KSS55WL \
  | 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: fa4a991c41d2df10d5aacdfea94bbdb2c98a5a209fa80a563d028e36798db0cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a5a9b2d7b20cdd16920297523def2e37b74314f2d124b06337459f79a5e65c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-05-28T17:17:39Z",
    "title_canon_sha256": "1d0b946f8969e51c3c53ec29549e7ae785288159e61a57183fcfdefe59c0c3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22603",
    "kind": "arxiv",
    "version": 1
  }
}