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Pith Number

pith:7PDRRTJV

pith:2009:7PDRRTJVETUGASY7AGFIPONDNI
not attested not anchored not stored refs pending

Stability analysis on the finite-temperature replica-symmetric and first-step replica-symmetry-broken cavity solutions of the random vertex cover problem

Haijun Zhou, Pan Zhang, Ying Zeng

arxiv:0901.2635 v2 · 2009-01-17 · cond-mat.stat-mech · cond-mat.dis-nn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7PDRRTJVETUGASY7AGFIPONDNI}

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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 2026-05-18T02:14:57.030020Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fbc718cd3524e8604b1f018a87b9a36a23ce241e7d493057c40476ff013260ea

Aliases

arxiv: 0901.2635 · arxiv_version: 0901.2635v2 · doi: 10.48550/arxiv.0901.2635 · pith_short_12: 7PDRRTJVETUG · pith_short_16: 7PDRRTJVETUGASY7 · pith_short_8: 7PDRRTJV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7PDRRTJVETUGASY7AGFIPONDNI \
  | 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: fbc718cd3524e8604b1f018a87b9a36a23ce241e7d493057c40476ff013260ea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cc5a3fbc089d2c6e309ac57ad8d4e49176c62ab3cf357eba452b3a2484c923a8",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-01-17T13:25:22Z",
    "title_canon_sha256": "10daf8ae6948cc75a06a7f54fc2ce0957499cd233b215bb0581faddfedc36a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2635",
    "kind": "arxiv",
    "version": 2
  }
}