Pith Number

pith:V46JPQYD

pith:2017:V46JPQYDHN2IDENP47KWT3ESDM

not attested not anchored not stored refs pending

Inapproximability of Maximum Biclique Problems, Minimum $k$-Cut and Densest At-Least-$k$-Subgraph from the Small Set Expansion Hypothesis

Pasin Manurangsi

arxiv:1705.03581 v1 · 2017-05-10 · 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{V46JPQYDHN2IDENP47KWT3ESDM}

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	2026-05-18T00:44:43.561563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af3c97c3033b748191afe7d569ec921b38ace4a8ebdf1c8165accc0582feb3d6

Aliases

arxiv: 1705.03581 · arxiv_version: 1705.03581v1 · doi: 10.48550/arxiv.1705.03581 · pith_short_12: V46JPQYDHN2I · pith_short_16: V46JPQYDHN2IDENP · pith_short_8: V46JPQYD

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/V46JPQYDHN2IDENP47KWT3ESDM \
  | 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: af3c97c3033b748191afe7d569ec921b38ace4a8ebdf1c8165accc0582feb3d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435669d8001517012b581d1266a22fb23f52b9d40af4b8819f76d61f578cf6cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-05-10T02:03:01Z",
    "title_canon_sha256": "d19780c49a58b7c54ce376e73bd20c1f013d73c94683713591f09f0f199aac27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03581",
    "kind": "arxiv",
    "version": 1
  }
}