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Pith Number

pith:BA3BBISM

pith:2018:BA3BBISMPV7LSEWICU3H5N4RWS
not attested not anchored not stored refs pending

$S_{12}$ and $P_{12}$-colorings of cubic graphs

Anush Hakobyan, Vahan Mkrtchyan

arxiv:1807.08138 v1 · 2018-07-21 · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BA3BBISMPV7LSEWICU3H5N4RWS}

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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 2026-05-18T00:10:09.159073Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

083610a24c7d7eb912c815367eb791b4b352d91aa3d9209cb9ca448bf2735710

Aliases

arxiv: 1807.08138 · arxiv_version: 1807.08138v1 · doi: 10.48550/arxiv.1807.08138 · pith_short_12: BA3BBISMPV7L · pith_short_16: BA3BBISMPV7LSEWI · pith_short_8: BA3BBISM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BA3BBISMPV7LSEWICU3H5N4RWS \
  | 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: 083610a24c7d7eb912c815367eb791b4b352d91aa3d9209cb9ca448bf2735710
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "36ae019235bf7c76fb28d2c74005197574268a02539587119dfab83e8cf8c669",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-07-21T12:29:27Z",
    "title_canon_sha256": "1bfae63c95b7e502a1158b669c914708ca296cb68eede3baebf5e03fd692b7d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08138",
    "kind": "arxiv",
    "version": 1
  }
}