Pith Number

pith:XGZU2JU7

pith:2012:XGZU2JU7VAITPXI4SFSLKVZGRQ

not attested not anchored not stored refs pending

On submeasures on Boolean algebras

Omar Selim

arxiv:1212.6822 v3 · 2012-12-31 · 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{XGZU2JU7VAITPXI4SFSLKVZGRQ}

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	2026-05-18T03:32:04.917925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b34d269fa81137dd1c9164b557268c33a5bf5356e5f84f5ed54b22602b2037

Aliases

arxiv: 1212.6822 · arxiv_version: 1212.6822v3 · doi: 10.48550/arxiv.1212.6822 · pith_short_12: XGZU2JU7VAIT · pith_short_16: XGZU2JU7VAITPXI4 · pith_short_8: XGZU2JU7

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/XGZU2JU7VAITPXI4SFSLKVZGRQ \
  | 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: b9b34d269fa81137dd1c9164b557268c33a5bf5356e5f84f5ed54b22602b2037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9499703f1da1e443147f525c5035ed341f17a04186cff01bb1955fa3d59264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-31T05:33:03Z",
    "title_canon_sha256": "d5d979954a4e711e693c94331409d41cdff08f675618e3f5d4cc0d1a36ec7f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6822",
    "kind": "arxiv",
    "version": 3
  }
}