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Pith Number

pith:5EE6US3Z

pith:2015:5EE6US3Z4DCVI4M6OSDKCKR3CD
not attested not anchored not stored refs pending

Forbidden pairs and the existence of a dominating cycle

Michitaka Furuya, Shoichi Tsuchiya, Shuya Chiba

arxiv:1502.02159 v1 · 2015-02-07 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5EE6US3Z4DCVI4M6OSDKCKR3CD}

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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 2026-05-18T02:27:43.448423Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e909ea4b79e0c554719e7486a12a3b10cf1a8c81432a13cff5a73766ae986ec3

Aliases

arxiv: 1502.02159 · arxiv_version: 1502.02159v1 · doi: 10.48550/arxiv.1502.02159 · pith_short_12: 5EE6US3Z4DCV · pith_short_16: 5EE6US3Z4DCVI4M6 · pith_short_8: 5EE6US3Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5EE6US3Z4DCVI4M6OSDKCKR3CD \
  | 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: e909ea4b79e0c554719e7486a12a3b10cf1a8c81432a13cff5a73766ae986ec3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aa0500c0509363ba5666bd93ae53714429f494076de27bb0e17171128874947f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-07T16:36:09Z",
    "title_canon_sha256": "e3f1535e962e2638dc43e5721e36c71b4e0da75d156dc0e2769afc17e60ea8f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02159",
    "kind": "arxiv",
    "version": 1
  }
}