Pith Number

pith:ODSQNU57

pith:2026:ODSQNU57S4YBPOUU4QWKUDNM67

not attested not anchored not stored refs pending

On the Complexity of Entailment for Cumulative Propositional Dependence Logics

Arne Meier, Juha Kontinen, Kai Sauerwald

arxiv:2605.21113 v1 · 2026-05-20 · cs.LO · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODSQNU57S4YBPOUU4QWKUDNM67}

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	2026-05-21T01:05:38.104376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e506d3bf973017ba94e42caa0dacf7d5047f2cc4e9a79691b25b3f201b786b

Aliases

arxiv: 2605.21113 · arxiv_version: 2605.21113v1 · doi: 10.48550/arxiv.2605.21113 · pith_short_12: ODSQNU57S4YB · pith_short_16: ODSQNU57S4YBPOUU · pith_short_8: ODSQNU57

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/ODSQNU57S4YBPOUU4QWKUDNM67 \
  | 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: 70e506d3bf973017ba94e42caa0dacf7d5047f2cc4e9a79691b25b3f201b786b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7335d0cdc739fb8295f20dda245357db1a08aae1847ab7a262d0a127e8deb900",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-20T12:46:13Z",
    "title_canon_sha256": "57ecec3680c3fc9cd7f7605fcd8d5f8b3d817c55ca5900571509ab3b25df1b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21113",
    "kind": "arxiv",
    "version": 1
  }
}