Pith Number

pith:E6OIXL6N

pith:2015:E6OIXL6NGJVRVCKG4GI24D3I3Z

not attested not anchored not stored refs pending

On the Hamilton-Waterloo Problem with triangle factors and $C_{3x}$-factors

Adri\'an Pastine, David Kamin, John Asplund, Melissa Keranen, Sibel \"Ozkan

arxiv:1510.04607 v1 · 2015-10-15 · 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{E6OIXL6NGJVRVCKG4GI24D3I3Z}

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	2026-05-18T01:19:05.691297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

279c8bafcd326b1a8946e191ae0f68de57744b3b9f83b7face03a74f6b0afc29

Aliases

arxiv: 1510.04607 · arxiv_version: 1510.04607v1 · doi: 10.48550/arxiv.1510.04607 · pith_short_12: E6OIXL6NGJVR · pith_short_16: E6OIXL6NGJVRVCKG · pith_short_8: E6OIXL6N

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/E6OIXL6NGJVRVCKG4GI24D3I3Z \
  | 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: 279c8bafcd326b1a8946e191ae0f68de57744b3b9f83b7face03a74f6b0afc29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb53433448e1fcb40ec8033623418309437982c4a921c1527024e45ff0bca43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-15T16:20:42Z",
    "title_canon_sha256": "59efd0b79f46df1acc04e2a2640e9463b326765641096c6820b2608e4eebc7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04607",
    "kind": "arxiv",
    "version": 1
  }
}