Pith Number

pith:KK72YKAR

pith:2018:KK72YKARYIZ4UTO3GEW7WI3K4E

not attested not anchored not stored refs pending

On Finding Dense Subgraphs in Bipartite Graphs: Linear Algorithms

Yikun Ban

arxiv:1810.06809 v3 · 2018-10-16 · cs.DS · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK72YKARYIZ4UTO3GEW7WI3K4E}

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	2026-05-18T00:01:37.553742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52bfac2811c233ca4ddb312dfb236ae1018edc07edb81a9fc0052bb8539e2f52

Aliases

arxiv: 1810.06809 · arxiv_version: 1810.06809v3 · doi: 10.48550/arxiv.1810.06809 · pith_short_12: KK72YKARYIZ4 · pith_short_16: KK72YKARYIZ4UTO3 · pith_short_8: KK72YKAR

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/KK72YKARYIZ4UTO3GEW7WI3K4E \
  | 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: 52bfac2811c233ca4ddb312dfb236ae1018edc07edb81a9fc0052bb8539e2f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a79a63b22dbcc2185c38a122d008a96351d8e5d24e40eb4da6973073cdf222",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-10-16T05:01:28Z",
    "title_canon_sha256": "b65c96c69545fdc21d8f7b494ff05f8426b71448be9c363612021edd3f9e197f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06809",
    "kind": "arxiv",
    "version": 3
  }
}