Pith Number

pith:WPJVQNUL

pith:2018:WPJVQNULKPJLJTCOCS2JIWTCX5

not attested not anchored not stored refs pending

Frame-validity games and lower bounds on the complexity of modal axioms

Andreas Herzig, David Fern\'andez-Duque, Petar Iliev, Philippe Balbiani

arxiv:1808.05051 v1 · 2018-08-15 · 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{WPJVQNULKPJLJTCOCS2JIWTCX5}

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	2026-05-18T00:08:01.767194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d358368b53d2b4cc4e14b4945a62bf5640c1209350bf9518c8bdca376a8794

Aliases

arxiv: 1808.05051 · arxiv_version: 1808.05051v1 · doi: 10.48550/arxiv.1808.05051 · pith_short_12: WPJVQNULKPJL · pith_short_16: WPJVQNULKPJLJTCO · pith_short_8: WPJVQNUL

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/WPJVQNULKPJLJTCOCS2JIWTCX5 \
  | 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: b3d358368b53d2b4cc4e14b4945a62bf5640c1209350bf9518c8bdca376a8794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71fb56221e54d46acd0dd48e36b000748a958ec841b9d315ff2470e95df582b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-08-15T12:16:44Z",
    "title_canon_sha256": "f131c0951d8b56ce40e40a2977415331d9bc89bf4f3f1afb5a99047dfb2a915a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05051",
    "kind": "arxiv",
    "version": 1
  }
}