Pith Number

pith:RMP5WR5I

pith:2012:RMP5WR5ISDYZOXOMCL5Q4YLNBW

not attested not anchored not stored refs pending

MacNeille completion and profinite completion can coincide on finitely generated modal algebras

Jacob Vosmaer

arxiv:1202.3271 v1 · 2012-02-15 · 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{RMP5WR5ISDYZOXOMCL5Q4YLNBW}

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	2026-05-18T04:02:14.214334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b1fdb47a890f1975dcc12fb0e616d0d8df0c4f1bd113182892cad376fd4fc4a

Aliases

arxiv: 1202.3271 · arxiv_version: 1202.3271v1 · doi: 10.48550/arxiv.1202.3271 · pith_short_12: RMP5WR5ISDYZ · pith_short_16: RMP5WR5ISDYZOXOM · pith_short_8: RMP5WR5I

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/RMP5WR5ISDYZOXOMCL5Q4YLNBW \
  | 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: 8b1fdb47a890f1975dcc12fb0e616d0d8df0c4f1bd113182892cad376fd4fc4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782d03241b601f79725a5a7fd4e61f5e6e59f77680b2fa8bf679c8d40309fa40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-02-15T10:52:47Z",
    "title_canon_sha256": "59de10b12ee3fc88a4cb13e51e9118cc58e5d1aaaa0ca74a81e30904ae122d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3271",
    "kind": "arxiv",
    "version": 1
  }
}