Pith Number

pith:FZCUZAOC

pith:2017:FZCUZAOCGKV5FGKNQRXRIXG77K

not attested not anchored not stored refs pending

The SK model is infinite step replica symmetry breaking at zero temperature

Antonio Auffinger, Qiang Zeng, Wei-Kuo Chen

arxiv:1703.06872 v2 · 2017-03-20 · math.PR · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZCUZAOCGKV5FGKNQRXRIXG77K}

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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.

Cited by

1 paper in Pith

Spin-Boson Mapping of the Quantum Approximate Optimization Algorithm

Receipt and verification

First computed	2026-07-05T02:50:03.884146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e454c81c232abd2994d846f145cdffa97a221508028dbe470d1e64fd10c6841

Aliases

arxiv: 1703.06872 · arxiv_version: 1703.06872v2 · doi: 10.48550/arxiv.1703.06872 · pith_short_12: FZCUZAOCGKV5 · pith_short_16: FZCUZAOCGKV5FGKN · pith_short_8: FZCUZAOC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FZCUZAOCGKV5FGKNQRXRIXG77K \
  | 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: 2e454c81c232abd2994d846f145cdffa97a221508028dbe470d1e64fd10c6841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc3c7bc8e831165412d2d36e7ba77a5e49cc953794e0ce2ffd910239085e407",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-20T17:57:09Z",
    "title_canon_sha256": "9590d3fff4323aeb577f9f87b4e8cf1092fc0d05c2c3a2639c2d2131491a272d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06872",
    "kind": "arxiv",
    "version": 2
  }
}