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Pith Number

pith:UP2IVOBN

pith:2013:UP2IVOBN2NY5V2MLYU5Z3G26CL
not attested not anchored not stored refs pending

Inapproximability for Antiferromagnetic Spin Systems in the Tree Non-Uniqueness Region

Andreas Galanis, Daniel Stefankovic, Eric Vigoda

arxiv:1305.2902 v3 · 2013-05-13 · cs.CC · math-ph · math.MP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UP2IVOBN2NY5V2MLYU5Z3G26CL}

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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 2026-05-18T02:38:44.615612Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a3f48ab82dd371dae98bc53b9d9b5e12d333c8ddd7c4fc0ac7c66e6941e58496

Aliases

arxiv: 1305.2902 · arxiv_version: 1305.2902v3 · doi: 10.48550/arxiv.1305.2902 · pith_short_12: UP2IVOBN2NY5 · pith_short_16: UP2IVOBN2NY5V2ML · pith_short_8: UP2IVOBN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UP2IVOBN2NY5V2MLYU5Z3G26CL \
  | 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: a3f48ab82dd371dae98bc53b9d9b5e12d333c8ddd7c4fc0ac7c66e6941e58496
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "12c3fc548042afb408649c278575184e631d47dfc6aba28bf0bb99da7df13494",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-05-13T19:38:35Z",
    "title_canon_sha256": "a7cad346c00f045d02530e3346b0310e5264f02ab19135c841c36bb1ab35112f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2902",
    "kind": "arxiv",
    "version": 3
  }
}