Pith Number

pith:P6ORU2CL

pith:2018:P6ORU2CL6DRJXMOIJ2ZML2ZTU7

not attested not anchored not stored refs pending

Partitioning the power set of $[n]$ into $C_k$-free parts

Andr\'as Gy\'arf\'as, Eben Blaisdell, Robert A. Krueger, Ronen Wdowinski

arxiv:1812.06448 v1 · 2018-12-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6ORU2CL6DRJXMOIJ2ZML2ZTU7}

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	2026-05-17T23:58:10.216849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f9d1a684bf0e29bb1c84eb2c5eb33a7fec19753ba03a2ae4c3f7d12e99a9ce0

Aliases

arxiv: 1812.06448 · arxiv_version: 1812.06448v1 · doi: 10.48550/arxiv.1812.06448 · pith_short_12: P6ORU2CL6DRJ · pith_short_16: P6ORU2CL6DRJXMOI · pith_short_8: P6ORU2CL

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/P6ORU2CL6DRJXMOIJ2ZML2ZTU7 \
  | 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: 7f9d1a684bf0e29bb1c84eb2c5eb33a7fec19753ba03a2ae4c3f7d12e99a9ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c488a432ddec637eb0c2f5b396693283429003f04a71de7ddb6a56bbeaf265",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-16T11:46:09Z",
    "title_canon_sha256": "8d5ffa78cd9437317b4047d178d9cc1c85c7927352d8c71738ac3bcb60724c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06448",
    "kind": "arxiv",
    "version": 1
  }
}