Pith Number

pith:H6W64PN5

pith:2018:H6W64PN5ETB5CKCIXU5WNSRL3F

not attested not anchored not stored refs pending

Efficient Butterfly Counting for Large Bipartite Networks

Kai Wang, Lu Qin, Wenjie Zhang, Xuemin Lin, Ying Zhang

arxiv:1812.00283 v3 · 2018-12-01 · 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{H6W64PN5ETB5CKCIXU5WNSRL3F}

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	2026-05-17T23:42:08.517059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fadee3dbd24c3d12848bd3b66ca2bd9431b101fff21dba0d7a368f104665bb3

Aliases

arxiv: 1812.00283 · arxiv_version: 1812.00283v3 · doi: 10.48550/arxiv.1812.00283 · pith_short_12: H6W64PN5ETB5 · pith_short_16: H6W64PN5ETB5CKCI · pith_short_8: H6W64PN5

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/H6W64PN5ETB5CKCIXU5WNSRL3F \
  | 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: 3fadee3dbd24c3d12848bd3b66ca2bd9431b101fff21dba0d7a368f104665bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175dc6fc55f92f66660be4096a74364a4cfb85e8c3ef8c8bcdbdafe3297f46e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2018-12-01T23:19:53Z",
    "title_canon_sha256": "f15258e4d861d318a439f4e81d912c3f6c4a7555a794d7c56faad0bac6a45e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00283",
    "kind": "arxiv",
    "version": 3
  }
}