Pith Number

pith:N5DUQHGA

pith:2019:N5DUQHGAUBB332ZPSNDKMTKB62

not attested not anchored not stored refs pending

EXPSPACE-Completeness of the Logics K4xS5 and S4xS5 and the Logic of Subset Spaces, Part 2: EXPSPACE-Hardness

Gisela Krommes, Peter Hertling

arxiv:1908.03509 v1 · 2019-08-09 · cs.LO · cs.CC · math.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{N5DUQHGAUBB332ZPSNDKMTKB62}

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	2026-07-04T23:52:40.521730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f47481cc0a043bdeb2f9346a64d41f6bc474a2539b410d1dd4fb1272b836b5c

Aliases

arxiv: 1908.03509 · arxiv_version: 1908.03509v1 · doi: 10.48550/arxiv.1908.03509 · pith_short_12: N5DUQHGAUBB3 · pith_short_16: N5DUQHGAUBB332ZP · pith_short_8: N5DUQHGA

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/N5DUQHGAUBB332ZPSNDKMTKB62 \
  | 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: 6f47481cc0a043bdeb2f9346a64d41f6bc474a2539b410d1dd4fb1272b836b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ae2f428b5c6a45cc554320e28bb1f7b66d42e6c46fd5cd33a7e54df3dfa0c7",
    "cross_cats_sorted": [
      "cs.CC",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-08-09T15:57:36Z",
    "title_canon_sha256": "feb0684d84bef796f454f693c013c88640e0712dfc33d75cf8bd92e7e2312cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03509",
    "kind": "arxiv",
    "version": 1
  }
}