pith. sign in
Pith Number

pith:RUN3SG44

pith:2017:RUN3SG44EZUZGLOX7AZTLJMKX7
not attested not anchored not stored refs pending

Cartesian products of directed graphs with loops

Iztok Peterin, Wilfried Imrich

arxiv:1702.05946 v1 · 2017-02-20 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RUN3SG44EZUZGLOX7AZTLJMKX7}

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 2026-05-18T00:50:24.810647Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8d1bb91b9c2669932dd7f83335a58abfcabed715d6a0ef09dab5f7b4b1f8fda0

Aliases

arxiv: 1702.05946 · arxiv_version: 1702.05946v1 · doi: 10.48550/arxiv.1702.05946 · pith_short_12: RUN3SG44EZUZ · pith_short_16: RUN3SG44EZUZGLOX · pith_short_8: RUN3SG44
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RUN3SG44EZUZGLOX7AZTLJMKX7 \
  | 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: 8d1bb91b9c2669932dd7f83335a58abfcabed715d6a0ef09dab5f7b4b1f8fda0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d337802533514262642529fc3b14eac548dffde65f77c88e2508a21cc40f35a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-20T12:29:40Z",
    "title_canon_sha256": "cb8e574e50986feb0ab6e373c14ebe7a2729bd3f6e037fe4542ee6e832cb7389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05946",
    "kind": "arxiv",
    "version": 1
  }
}