Pith Number

pith:Y4GATVOW

pith:2016:Y4GATVOW4WKN7YYUKHM3ORJDP3

not attested not anchored not stored refs pending

Clique decompositions of multipartite graphs and completion of Latin squares

Allan Lo, Amelia Taylor, Ben Barber, Daniela K\"uhn, Deryk Osthus

arxiv:1603.01043 v2 · 2016-03-03 · 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{Y4GATVOW4WKN7YYUKHM3ORJDP3}

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	2026-05-18T00:45:54.460011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70c09d5d6e594dfe31451d9b745237ed10eeada13682dfd850814b8480da20e

Aliases

arxiv: 1603.01043 · arxiv_version: 1603.01043v2 · doi: 10.48550/arxiv.1603.01043 · pith_short_12: Y4GATVOW4WKN · pith_short_16: Y4GATVOW4WKN7YYU · pith_short_8: Y4GATVOW

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/Y4GATVOW4WKN7YYUKHM3ORJDP3 \
  | 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: c70c09d5d6e594dfe31451d9b745237ed10eeada13682dfd850814b8480da20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7893a77d846b9961027b50a3f2e31606e2115e6564b68d5eb51bf47daf6a54fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-03T10:16:29Z",
    "title_canon_sha256": "bdb25949ecd9ad036d884ab0035d96e7b4265cf2bd3b5cbe6e99a4e22bda269b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01043",
    "kind": "arxiv",
    "version": 2
  }
}