Pith Number

pith:BASZE3KJ

pith:2014:BASZE3KJMSO2PV7DSPEGW6C4JV

not attested not anchored not stored refs pending

The Strength of the Gr\"atzer-Schmidt Theorem

Bj{\o}rn Kjos-Hanssen, Katie Brodhead, Mushfeq Khan, Paul Kim Long V. Nguyen, Richard A. Shore, William A. Lampe

arxiv:1408.2167 v2 · 2014-08-10 · 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{BASZE3KJMSO2PV7DSPEGW6C4JV}

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	2026-05-17T23:56:56.395852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0825926d49649da7d7e393c86b785c4d54ca7618d5f2e76bf923def25ba4e660

Aliases

arxiv: 1408.2167 · arxiv_version: 1408.2167v2 · doi: 10.48550/arxiv.1408.2167 · pith_short_12: BASZE3KJMSO2 · pith_short_16: BASZE3KJMSO2PV7D · pith_short_8: BASZE3KJ

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/BASZE3KJMSO2PV7DSPEGW6C4JV \
  | 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: 0825926d49649da7d7e393c86b785c4d54ca7618d5f2e76bf923def25ba4e660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f81fc22fa8b77d4145656b87ccfcbc74b582af3476ae88829dafc43cf8fd630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-10T00:16:18Z",
    "title_canon_sha256": "20f3d072ecb2f838d68abad5a5021d18da4d817a392162d5a3c44d9b69b36937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2167",
    "kind": "arxiv",
    "version": 2
  }
}