Pith Number

pith:3NPKUH5Y

pith:2025:3NPKUH5YT2VZ2MVBXJI3OG7J75

not attested not anchored not stored refs pending

Orthogonality relations and operators on bounded quasi-implication algebras

Joseph McDonald

arxiv:2507.17724 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{3NPKUH5YT2VZ2MVBXJI3OG7J75}

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	2026-07-05T11:42:17.363822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5eaa1fb89eab9d32a1ba51b71be9ff6e38fefdae5a069335e458c79d93590d

Aliases

arxiv: 2507.17724 · arxiv_version: 2507.17724v1 · doi: 10.48550/arxiv.2507.17724 · pith_short_12: 3NPKUH5YT2VZ · pith_short_16: 3NPKUH5YT2VZ2MVB · pith_short_8: 3NPKUH5Y

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/3NPKUH5YT2VZ2MVBXJI3OG7J75 \
  | 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: db5eaa1fb89eab9d32a1ba51b71be9ff6e38fefdae5a069335e458c79d93590d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62fa6e8c253c0598d4a95f374ff5c4ff4d4defad33970ecace5fd6c62a9078d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-23T17:34:11Z",
    "title_canon_sha256": "3690aac84975b63205790ab258d751b3581574927fbbc3cf60ef95e31693a6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17724",
    "kind": "arxiv",
    "version": 1
  }
}