Pith Number

pith:2BYOWWM7

pith:2023:2BYOWWM7A5TFC5EXO3XNIBTZMZ

not attested not anchored not stored refs pending

Sampling Algorithms for Butterfly Counting on Temporal Bipartite Graphs

Jiaxi Pu, Xuan Zhou, Yanhao Wang, Yuchen Li

arxiv:2310.11886 v1 · 2023-10-18 · cs.SI · cs.DB · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BYOWWM7A5TFC5EXO3XNIBTZMZ}

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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.

Cited by

1 paper in Pith

Counting Butterflies over Streaming Bipartite Graphs with Duplicate Edges

Receipt and verification

First computed	2026-07-05T07:02:13.576710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d070eb599f076651749776eed40679667d387f4107f3182bae6c1ce5c66e2846

Aliases

arxiv: 2310.11886 · arxiv_version: 2310.11886v1 · doi: 10.48550/arxiv.2310.11886 · pith_short_12: 2BYOWWM7A5TF · pith_short_16: 2BYOWWM7A5TFC5EX · pith_short_8: 2BYOWWM7

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/2BYOWWM7A5TFC5EXO3XNIBTZMZ \
  | 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: d070eb599f076651749776eed40679667d387f4107f3182bae6c1ce5c66e2846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3e5b6129ade1f7616b4c10168dd4c721ee6815fa14c0471f07a98779437c55",
    "cross_cats_sorted": [
      "cs.DB",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2023-10-18T11:11:19Z",
    "title_canon_sha256": "8b1c290ab81b95363917281f69f31d470dc0f607effcc1798a6a8f8ace1d0e5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.11886",
    "kind": "arxiv",
    "version": 1
  }
}