Pith Number

pith:RMTI7TH2

pith:2011:RMTI7TH2QSWHW3UYRKEA4FBCWN

not attested not anchored not stored refs pending

Improved Inapproximability Results for Counting Independent Sets in the Hard-Core Model

Andreas Galanis, Daniel Stefankovic, Eric Vigoda, Linji Yang, Qi Ge

arxiv:1105.5131 v3 · 2011-05-25 · cs.CC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMTI7TH2QSWHW3UYRKEA4FBCWN}

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	2026-05-18T03:16:19.277190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b268fccfa84ac7b6e988a880e1422b34e921ee49a584aed2ca58c311f46324e

Aliases

arxiv: 1105.5131 · arxiv_version: 1105.5131v3 · doi: 10.48550/arxiv.1105.5131 · pith_short_12: RMTI7TH2QSWH · pith_short_16: RMTI7TH2QSWHW3UY · pith_short_8: RMTI7TH2

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/RMTI7TH2QSWHW3UYRKEA4FBCWN \
  | 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: 8b268fccfa84ac7b6e988a880e1422b34e921ee49a584aed2ca58c311f46324e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c39fb61049e9594ab738ade7a044ec46691363839dd1a7a6585b5cd7b83a0e72",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-05-25T19:56:49Z",
    "title_canon_sha256": "23c39d22d3c2f61b60d60f4cf7188eb7a4e69175359d436a18c3941e44a453f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5131",
    "kind": "arxiv",
    "version": 3
  }
}