Pith Number

pith:NJBTDWWV

pith:2026:NJBTDWWVNGCNJMZ77K2AGIZWUB

not attested not anchored not stored refs pending

Four-Cycle Counting in Low-Degeneracy Graph Streams

Pan Peng, Sebastian L\"uderssen, Stefan Neumann

arxiv:2606.17732 v1 · 2026-06-16 · 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{NJBTDWWVNGCNJMZ77K2AGIZWUB}

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	2026-06-19T16:10:20.570572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4331dad56984d4b33ffab4032336a0579b9c78329ec3ad8edf4a70735094aa

Aliases

arxiv: 2606.17732 · arxiv_version: 2606.17732v1 · doi: 10.48550/arxiv.2606.17732 · pith_short_12: NJBTDWWVNGCN · pith_short_16: NJBTDWWVNGCNJMZ7 · pith_short_8: NJBTDWWV

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/NJBTDWWVNGCNJMZ77K2AGIZWUB \
  | 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: 6a4331dad56984d4b33ffab4032336a0579b9c78329ec3ad8edf4a70735094aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4156c27cfc6dd9ed9ef0c678dc710e859c186cfacae7c03351e5ef3dd7a6faed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-16T09:49:45Z",
    "title_canon_sha256": "892de71dacd4b9095b84c9765a7f8951286946cf9488a712a4288aada20e553a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17732",
    "kind": "arxiv",
    "version": 1
  }
}