Pith Number

pith:4TNH4CKE

pith:2025:4TNH4CKEC5CFS4VKYA7ZHO5UQB

not attested not anchored not stored refs pending

Canonical completion and duality for cylindric ortholattices and cylindric Boolean algebras

Joseph McDonald

arxiv:2507.17715 v1 · 2025-07-23 · 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{4TNH4CKEC5CFS4VKYA7ZHO5UQB}

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	2026-07-05T11:42:17.255394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4da7e094417445972aac03f93bbb4805bfa2e8d9b71532605bddc3dd32b3cdf

Aliases

arxiv: 2507.17715 · arxiv_version: 2507.17715v1 · doi: 10.48550/arxiv.2507.17715 · pith_short_12: 4TNH4CKEC5CF · pith_short_16: 4TNH4CKEC5CFS4VK · pith_short_8: 4TNH4CKE

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/4TNH4CKEC5CFS4VKYA7ZHO5UQB \
  | 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: e4da7e094417445972aac03f93bbb4805bfa2e8d9b71532605bddc3dd32b3cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b056d24145451b164854c7205b4dc072fe746f755d74e94d3f0ee4a87240b2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-23T17:28:03Z",
    "title_canon_sha256": "7bcf132d5527068e6b351de811cedb86601d47cc3551f668fa649c2c0b169374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17715",
    "kind": "arxiv",
    "version": 1
  }
}