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Pith Number

pith:XZYKRJTJ

pith:2011:XZYKRJTJBOGATA7FL62KX7NPDD
not attested not anchored not stored refs pending

Ramsey numbers and adiabatic quantum computing

Frank Gaitan, Lane Clark

arxiv:1103.1345 v3 · 2011-03-07 · quant-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XZYKRJTJBOGATA7FL62KX7NPDD}

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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 2026-05-18T02:02:58.711676Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

be70a8a6690b8c0983e55fb4abfdaf18cefff21a35e9b9a6a5001e93b57657b5

Aliases

arxiv: 1103.1345 · arxiv_version: 1103.1345v3 · doi: 10.48550/arxiv.1103.1345 · pith_short_12: XZYKRJTJBOGA · pith_short_16: XZYKRJTJBOGATA7F · pith_short_8: XZYKRJTJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XZYKRJTJBOGATA7FL62KX7NPDD \
  | 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: be70a8a6690b8c0983e55fb4abfdaf18cefff21a35e9b9a6a5001e93b57657b5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "22fe26388e042c4e5b32c23005fec137d16b5fb61bf1dc539b0aa8e12f5d18e0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-07T19:28:02Z",
    "title_canon_sha256": "104d39d49affa9a19f72b96e3393137dac0d45e4e418dd79c593f514656e7796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1345",
    "kind": "arxiv",
    "version": 3
  }
}