Pith Number

pith:DDTIMHCG

pith:2019:DDTIMHCGCN553D7YOKJPUKUQVB

not attested not anchored not stored refs pending

EXPSPACE-Completeness of the Logics K4xS5 and S4xS5 and the Logic of Subset Spaces, Part 1: ESPACE-Algorithms

Gisela Krommes, Peter Hertling

arxiv:1908.03501 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{DDTIMHCGCN553D7YOKJPUKUQVB}

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	2026-07-04T23:52:40.470612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e6861c46137bdd8ff87292fa2a90a8613a0195b7790b0ef063e96d5646fe6c

Aliases

arxiv: 1908.03501 · arxiv_version: 1908.03501v1 · doi: 10.48550/arxiv.1908.03501 · pith_short_12: DDTIMHCGCN55 · pith_short_16: DDTIMHCGCN553D7Y · pith_short_8: DDTIMHCG

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/DDTIMHCGCN553D7YOKJPUKUQVB \
  | 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: 18e6861c46137bdd8ff87292fa2a90a8613a0195b7790b0ef063e96d5646fe6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81e16960874289a08e788518a9361d89aaab6ae7d06f2fdabe92b27be4099883",
    "cross_cats_sorted": [
      "cs.CC",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-08-09T15:43:50Z",
    "title_canon_sha256": "01840965dcc5ec40f4606a794d2394cedf3d4f3a838d6332abadfe78beb12b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03501",
    "kind": "arxiv",
    "version": 1
  }
}