Pith Number

pith:QHS5UJWN

pith:2011:QHS5UJWN5PINJYMVTIE6I54VIS

not attested not anchored not stored refs pending

Polynomial integrality gaps for strong SDP relaxations of Densest k-subgraph

Aditya Bhaskara, Aravindan Vijayaraghavan, Moses Charikar, Venkatesan Guruswami, Yuan Zhou

arxiv:1110.1360 v1 · 2011-10-06 · cs.DS · 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{QHS5UJWN5PINJYMVTIE6I54VIS}

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	2026-05-18T04:11:32.177618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e5da26cdebd0d4e1959a09e477954489fb4d5a71d3bafb631a26178839c75a

Aliases

arxiv: 1110.1360 · arxiv_version: 1110.1360v1 · doi: 10.48550/arxiv.1110.1360 · pith_short_12: QHS5UJWN5PIN · pith_short_16: QHS5UJWN5PINJYMV · pith_short_8: QHS5UJWN

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/QHS5UJWN5PINJYMVTIE6I54VIS \
  | 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: 81e5da26cdebd0d4e1959a09e477954489fb4d5a71d3bafb631a26178839c75a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834352ad0c17ca56f2d69660476462fbc54dac9c9536c45bf7990b738e963abf",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-10-06T19:29:01Z",
    "title_canon_sha256": "c7816538a5a11a8c47d9746afe8947d79f776fc8650607774f15f661e6db0a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1360",
    "kind": "arxiv",
    "version": 1
  }
}