Pith Number

pith:XSEKS2VF

pith:2015:XSEKS2VFRVG5D2UQSPGLUYRUOZ

not attested not anchored not stored refs pending

Learning Definite Horn Formulas from Closure Queries

Cristina T\^irn\u{a}uc\u{a}, Jos\'e L. Balc\'azar, Marta Arias

arxiv:1503.09025 v3 · 2015-03-31 · cs.LG · cs.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{XSEKS2VFRVG5D2UQSPGLUYRUOZ}

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	2026-05-18T01:27:31.835722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc88a96aa58d4dd1ea9093ccba62347662a6896a935a98e8088e24b4b3d7cbac

Aliases

arxiv: 1503.09025 · arxiv_version: 1503.09025v3 · doi: 10.48550/arxiv.1503.09025 · pith_short_12: XSEKS2VFRVG5 · pith_short_16: XSEKS2VFRVG5D2UQ · pith_short_8: XSEKS2VF

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/XSEKS2VFRVG5D2UQSPGLUYRUOZ \
  | 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: bc88a96aa58d4dd1ea9093ccba62347662a6896a935a98e8088e24b4b3d7cbac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6d4996dc539ddb820ad51450737867c2a7aa95857c7a2f0f144c57ae43b40d",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-03-31T12:41:01Z",
    "title_canon_sha256": "47d79786c89a2146a2a94d7f871c999daa8745756f9fa3dbd7684b5d789c4351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09025",
    "kind": "arxiv",
    "version": 3
  }
}