Pith Number

pith:RUKZQ2CN

pith:2017:RUKZQ2CNJ4BMWJZYUFRZKQ6FNI

not attested not anchored not stored refs pending

The equational theory of the natural join and inner union is decidable

Luigi Santocanale (LIF)

arxiv:1710.11500 v1 · 2017-10-30 · cs.LO · 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{RUKZQ2CNJ4BMWJZYUFRZKQ6FNI}

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	2026-05-18T00:31:37.129038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1598684d4f02cb2738a1639543c56a0fe42ce84c8f3731a6810e6b70be4259

Aliases

arxiv: 1710.11500 · arxiv_version: 1710.11500v1 · doi: 10.48550/arxiv.1710.11500 · pith_short_12: RUKZQ2CNJ4BM · pith_short_16: RUKZQ2CNJ4BMWJZY · pith_short_8: RUKZQ2CN

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/RUKZQ2CNJ4BMWJZYUFRZKQ6FNI \
  | 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: 8d1598684d4f02cb2738a1639543c56a0fe42ce84c8f3731a6810e6b70be4259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "350d26c6f02558a675707db1df8cfed0108722b4bb60c052bdc44bf404b361e1",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-10-30T13:28:14Z",
    "title_canon_sha256": "3e9160c2fc187785af87f39467dccbed69bfab43bc2374e8499535eeb6571498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11500",
    "kind": "arxiv",
    "version": 1
  }
}