Pith Number

pith:MBKKUPNG

pith:2026:MBKKUPNGHSJKLA3GZXYVFDMJIA

not attested not anchored not stored refs pending

Optimal PSPACE-hardness of Approximating $q$-CSP Reconfiguration

Naoto Ohsaka, Shuichi Hirahara

arxiv:2607.28099 v1 · 2026-07-30 · cs.CC · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBKKUPNGHSJKLA3GZXYVFDMJIA}

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	2026-07-31T01:35:45.099171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

6054aa3da63c92a58366cdf1528d89403f9e981c652e1293990c6b6d2db39918

Aliases

arxiv: 2607.28099 · arxiv_version: 2607.28099v1 · doi: 10.48550/arxiv.2607.28099 · pith_short_12: MBKKUPNGHSJK · pith_short_16: MBKKUPNGHSJKLA3G · pith_short_8: MBKKUPNG

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/MBKKUPNGHSJKLA3GZXYVFDMJIA \
  | 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: 6054aa3da63c92a58366cdf1528d89403f9e981c652e1293990c6b6d2db39918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c23247ffa1fc7ae47dbda7595406667c269547b22178e9749f6f768f61c78a75",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-07-30T12:10:08Z",
    "title_canon_sha256": "04e917e99b9d8111566c9b76206c80ad14f7a9204431a37187567165cb18c195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28099",
    "kind": "arxiv",
    "version": 1
  }
}