pith. sign in
Pith Number

pith:C3FLIKM3

pith:2014:C3FLIKM3I5WVPUON2NPN3CXPBB
not attested not anchored not stored refs pending

Distance magic labeling in complete 4-partite graphs

Dani Kotlar

arxiv:1410.6916 v7 · 2014-10-25 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{C3FLIKM3I5WVPUON2NPN3CXPBB}

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 2026-05-18T01:34:50.779826Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

16cab4299b476d57d1cdd35edd8aef0876f075f9d96cf588e1edd38dcf85ab27

Aliases

arxiv: 1410.6916 · arxiv_version: 1410.6916v7 · doi: 10.48550/arxiv.1410.6916 · pith_short_12: C3FLIKM3I5WV · pith_short_16: C3FLIKM3I5WVPUON · pith_short_8: C3FLIKM3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/C3FLIKM3I5WVPUON2NPN3CXPBB \
  | 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: 16cab4299b476d57d1cdd35edd8aef0876f075f9d96cf588e1edd38dcf85ab27
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7a93cd662329a055957a8b9ac3eafcad73c340aabb6bb399ac9709c3380b37d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-25T12:32:44Z",
    "title_canon_sha256": "dfc99b13667da32e2924fbaf64d5d4567db5123c5d7cc3ef7680575358a57d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6916",
    "kind": "arxiv",
    "version": 7
  }
}