Pith Number

pith:CQQOEG7E

pith:2009:CQQOEG7EP4MKQBWB7WXT7GGZJX

not attested not anchored not stored refs pending

A Note on the Complexity of the Satisfiability Problem for Graded Modal Logics

Ian Pratt-Hartmann, Yevgeny Kazakov

arxiv:0905.3108 v1 · 2009-05-19 · cs.LO · cs.AI · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQQOEG7EP4MKQBWB7WXT7GGZJX}

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	2026-07-05T08:10:51.487561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1420e21be47f18a806c1fdaf3f98d94dd5f7d1e898bb7b0cdf366d455193a286

Aliases

arxiv: 0905.3108 · arxiv_version: 0905.3108v1 · doi: 10.48550/arxiv.0905.3108 · pith_short_12: CQQOEG7EP4MK · pith_short_16: CQQOEG7EP4MKQBWB · pith_short_8: CQQOEG7E

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/CQQOEG7EP4MKQBWB7WXT7GGZJX \
  | 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: 1420e21be47f18a806c1fdaf3f98d94dd5f7d1e898bb7b0cdf366d455193a286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab6b56a53c38f418ad5acf2b1f630a7b8f22b87de76b5311e14db2ccd455614",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2009-05-19T15:27:04Z",
    "title_canon_sha256": "0f47e3fdb076043588a011bb8a8f9f789274eb86ce63003d127598333e6ade9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3108",
    "kind": "arxiv",
    "version": 1
  }
}