Pith Number

pith:666WHWZK

pith:2020:666WHWZKUFLKB5RXPV7TA5IRCD

not attested not anchored not stored refs pending

Improved 3-pass Algorithm for Counting 4-cycles in Arbitrary Order Streaming

Sofya Vorotnikova

arxiv:2007.13466 v1 · 2020-07-27 · 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{666WHWZKUFLKB5RXPV7TA5IRCD}

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.

Cited by

1 paper in Pith

Four-Cycle Counting in Low-Degeneracy Graph Streams

Receipt and verification

First computed	2026-07-05T01:22:24.465191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7bd63db2aa156a0f6377d7f30751110e217c28a1470094adf72a2480f2b662e

Aliases

arxiv: 2007.13466 · arxiv_version: 2007.13466v1 · doi: 10.48550/arxiv.2007.13466 · pith_short_12: 666WHWZKUFLK · pith_short_16: 666WHWZKUFLKB5RX · pith_short_8: 666WHWZK

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/666WHWZKUFLKB5RXPV7TA5IRCD \
  | 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: f7bd63db2aa156a0f6377d7f30751110e217c28a1470094adf72a2480f2b662e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b1fddebb1a35ebcb82f66354a688e287b608d59a836a947df5ae712d1f0184",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-07-27T12:12:21Z",
    "title_canon_sha256": "cb3a61c4ec461898873ede482470a2e25bb1c84c64287ed88932f4c873e8d330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.13466",
    "kind": "arxiv",
    "version": 1
  }
}