Pith Number

pith:DHWP4GE6

pith:2020:DHWP4GE65DRYCKHLSY6ROKYNTQ

not attested not anchored not stored refs pending

Counting 4-Patterns in Permutations Is Equivalent to Counting 4-Cycles in Graphs

Bart{\l}omiej Dudek, Pawe{\l} Gawrychowski

arxiv:2010.00348 v1 · 2020-10-01 · 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{DHWP4GE65DRYCKHLSY6ROKYNTQ}

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

Permutation patterns in streams

Receipt and verification

First computed	2026-07-05T01:39:32.810157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ecfe189ee8e38128eb963d172b0d9c3dfe3527fe6efeab414f4fb4a9ba60b5

Aliases

arxiv: 2010.00348 · arxiv_version: 2010.00348v1 · doi: 10.48550/arxiv.2010.00348 · pith_short_12: DHWP4GE65DRY · pith_short_16: DHWP4GE65DRYCKHL · pith_short_8: DHWP4GE6

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/DHWP4GE65DRYCKHLSY6ROKYNTQ \
  | 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: 19ecfe189ee8e38128eb963d172b0d9c3dfe3527fe6efeab414f4fb4a9ba60b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11999b364149e6411a244bfb2466fd3fcd456a0082dbb427592b7a0f1705bebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-10-01T12:25:52Z",
    "title_canon_sha256": "c8544d08de9f2a888cc03465e97bc14d6313941e8f283af139c33fd93886765a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.00348",
    "kind": "arxiv",
    "version": 1
  }
}