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Pith Number

pith:EKTLC4EJ

pith:2013:EKTLC4EJJFG3VLXUKCI6VAL7WN
not attested not anchored not stored refs pending

Sabidussi Versus Hedetniemi for Three Variations of the Chromatic Number

Chris Godsil, David Roberson, Robert \v{S}\'amal, Simone Severini

arxiv:1305.5545 v1 · 2013-05-23 · math.CO · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EKTLC4EJJFG3VLXUKCI6VAL7WN}

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 2026-05-18T03:25:03.895782Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

22a6b17089494dbaaef45091ea817fb373ed5ec8a37fa80a5e3a988dfd6f2c45

Aliases

arxiv: 1305.5545 · arxiv_version: 1305.5545v1 · doi: 10.48550/arxiv.1305.5545 · pith_short_12: EKTLC4EJJFG3 · pith_short_16: EKTLC4EJJFG3VLXU · pith_short_8: EKTLC4EJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EKTLC4EJJFG3VLXUKCI6VAL7WN \
  | 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: 22a6b17089494dbaaef45091ea817fb373ed5ec8a37fa80a5e3a988dfd6f2c45
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a5522a40f3b8389a2e11b3f0a4a0d834e4c5d62992c11ffc879e6defc6423296",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-23T20:00:43Z",
    "title_canon_sha256": "61f902f6f025d707ccafc0bb1ce345bb0d31d27c16596371a79466d7abff6030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5545",
    "kind": "arxiv",
    "version": 1
  }
}