Pith Number

pith:VFHL6ITL

pith:2015:VFHL6ITLLK2XCHCOYKYC4AJNCE

not attested not anchored not stored refs pending

Almost partitioning a 3-edge-coloured $K_{n,n}$ into 5 monochromatic cycles

Maya Stein, Oliver Schaudt, Richard Lang

arxiv:1510.00060 v3 · 2015-09-30 · 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{VFHL6ITLLK2XCHCOYKYC4AJNCE}

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	2026-05-18T00:58:04.427432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94ebf226b5ab5711c4ec2b02e012d1130f7df3f6c32bf60b59b175984d4a603

Aliases

arxiv: 1510.00060 · arxiv_version: 1510.00060v3 · doi: 10.48550/arxiv.1510.00060 · pith_short_12: VFHL6ITLLK2X · pith_short_16: VFHL6ITLLK2XCHCO · pith_short_8: VFHL6ITL

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/VFHL6ITLLK2XCHCOYKYC4AJNCE \
  | 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: a94ebf226b5ab5711c4ec2b02e012d1130f7df3f6c32bf60b59b175984d4a603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09bf8387b25b448908a3a9032619f49e40c55c78dc112ed73d8c3e135d3a3331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-30T22:37:52Z",
    "title_canon_sha256": "9546ce60f032503831bfb3f14e42775f4be38216feb668813f6b2883e72a3eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00060",
    "kind": "arxiv",
    "version": 3
  }
}