Pith Number

pith:6R7BM4UK

pith:2007:6R7BM4UKWCCXBCIMSZX6OLFLT7

not attested not anchored not stored refs pending

PSPACE Bounds for Rank-1 Modal Logics

Dirk Pattinson, Lutz Schr\"oder

arxiv:0706.4044 v1 · 2007-06-27 · cs.LO · 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{6R7BM4UKWCCXBCIMSZX6OLFLT7}

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	2026-05-18T04:31:31.514386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47e16728ab08570890c966fe72cab9fdf77cb282c83db11d0d4ab8635642b45

Aliases

arxiv: 0706.4044 · arxiv_version: 0706.4044v1 · doi: 10.48550/arxiv.0706.4044 · pith_short_12: 6R7BM4UKWCCX · pith_short_16: 6R7BM4UKWCCXBCIM · pith_short_8: 6R7BM4UK

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/6R7BM4UKWCCXBCIMSZX6OLFLT7 \
  | 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: f47e16728ab08570890c966fe72cab9fdf77cb282c83db11d0d4ab8635642b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e791cf62b5e272a17c46a265e3503ec64dd7e8ab31c86c7af0fe7257a83d6b52",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "cs.LO",
    "submitted_at": "2007-06-27T15:15:57Z",
    "title_canon_sha256": "13339fd05f4d0e09490a00cff59f42eb52c1810ba18c51d4de1e0222efc82c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4044",
    "kind": "arxiv",
    "version": 1
  }
}