Pith Number

pith:GWJRGJUT

pith:2013:GWJRGJUTFAXEU3WY6HUNF7WAIA

not attested not anchored not stored refs pending

Uniformly resolvable decompositions of $K_v$ into $P_3$ and $K_3$ graphs

Salvatore Milici, Zsolt Tuza

arxiv:1312.2113 v1 · 2013-12-07 · 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{GWJRGJUTFAXEU3WY6HUNF7WAIA}

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	2026-05-18T03:05:17.247356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3593132693282e4a6ed8f1e8d2fec0402483892bca87c256652613c4ad9d6517

Aliases

arxiv: 1312.2113 · arxiv_version: 1312.2113v1 · doi: 10.48550/arxiv.1312.2113 · pith_short_12: GWJRGJUTFAXE · pith_short_16: GWJRGJUTFAXEU3WY · pith_short_8: GWJRGJUT

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/GWJRGJUTFAXEU3WY6HUNF7WAIA \
  | 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: 3593132693282e4a6ed8f1e8d2fec0402483892bca87c256652613c4ad9d6517

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5794feba00f4dfa1eb0aee0858c85601adab5739d8cb2772fb48def30332f3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-07T16:46:13Z",
    "title_canon_sha256": "4604984abb0be04312ac007df3cb5faa40e55f8af90a8090ff2de0f980c9ed37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2113",
    "kind": "arxiv",
    "version": 1
  }
}