Pith Number

pith:HTSARFYK

pith:2013:HTSARFYKCBN4Q455YTRV5TVTMH

not attested not anchored not stored refs pending

Hardness measures and resolution lower bounds

Olaf Beyersdorff, Oliver Kullmann

arxiv:1310.7627 v2 · 2013-10-28 · cs.CC · 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{HTSARFYKCBN4Q455YTRV5TVTMH}

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	2026-05-18T02:58:56.637605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ce408970a105bc873bdc4e35eceb361d4d63b07e2a81843d778475fb2901bec

Aliases

arxiv: 1310.7627 · arxiv_version: 1310.7627v2 · doi: 10.48550/arxiv.1310.7627 · pith_short_12: HTSARFYKCBN4 · pith_short_16: HTSARFYKCBN4Q455 · pith_short_8: HTSARFYK

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/HTSARFYKCBN4Q455YTRV5TVTMH \
  | 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: 3ce408970a105bc873bdc4e35eceb361d4d63b07e2a81843d778475fb2901bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67516b66c0b7ec8813c410573bbd5b804c2fc4a376d81a5771ff3c7a1ee9e732",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-10-28T21:17:10Z",
    "title_canon_sha256": "6a27ccbed0bc508a745516760beb602bba2951bb66e4a6f3c4c58f165f027cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7627",
    "kind": "arxiv",
    "version": 2
  }
}