Pith Number

pith:O65UV5QD

pith:2013:O65UV5QDC3TGOLEYEWQD3ACVTX

not attested not anchored not stored refs pending

The Relationship between Craig Interpolation and Recursion-Free Horn Clauses

Hossein Hojjat (EPFL Lausanne), Philipp R\"ummer (Uppsala University), Viktor Kuncak (EPFL Lausanne)

arxiv:1302.4187 v1 · 2013-02-18 · 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{O65UV5QDC3TGOLEYEWQD3ACVTX}

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	2026-05-18T03:33:23.843022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77bb4af60316e6672c9825a03d80559dfed2fed3b231f15c6b6536b3010ccb7b

Aliases

arxiv: 1302.4187 · arxiv_version: 1302.4187v1 · doi: 10.48550/arxiv.1302.4187 · pith_short_12: O65UV5QDC3TG · pith_short_16: O65UV5QDC3TGOLEY · pith_short_8: O65UV5QD

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/O65UV5QDC3TGOLEYEWQD3ACVTX \
  | 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: 77bb4af60316e6672c9825a03d80559dfed2fed3b231f15c6b6536b3010ccb7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe17b9a355365295325768036848297ab0f9f2ab0fa4c25d8c6d58b51926164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-02-18T09:08:16Z",
    "title_canon_sha256": "2243d480028815f7d9633f231ba1d79c2f743a37a9950ed7c07a3e762a4e51d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4187",
    "kind": "arxiv",
    "version": 1
  }
}