Pith Number

pith:N5N4HVAU

pith:2024:N5N4HVAU27DPTCWU7FORKN6TAX

not attested not anchored not stored refs pending

Distributed Complexity of $P_k$-freeness: Decision and Certification

Masayuki Miyamoto

arxiv:2410.20353 v1 · 2024-10-27 · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5N4HVAU27DPTCWU7FORKN6TAX}

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

Complexity landscape for local certification

Receipt and verification

First computed	2026-07-05T09:26:43.647076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5bc3d414d7c6f98ad4f95d1537d305d2b181d4acb1a918f424b0061c1c8d03

Aliases

arxiv: 2410.20353 · arxiv_version: 2410.20353v1 · doi: 10.48550/arxiv.2410.20353 · pith_short_12: N5N4HVAU27DP · pith_short_16: N5N4HVAU27DPTCWU · pith_short_8: N5N4HVAU

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/N5N4HVAU27DPTCWU7FORKN6TAX \
  | 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: 6f5bc3d414d7c6f98ad4f95d1537d305d2b181d4acb1a918f424b0061c1c8d03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e58bafd81fe3c1f5861720a3796c22c3bda95458c5d4f3f6825bc1c9082b5d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2024-10-27T06:53:16Z",
    "title_canon_sha256": "6c90baf196fcd8368be1b47dfda4ab43c939d6cc039064efec6fdda488773198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.20353",
    "kind": "arxiv",
    "version": 1
  }
}