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Pith Number

pith:SVVESXDU

pith:2013:SVVESXDUTP6BPIP4526HBDHMT2
not attested not anchored not stored refs pending

Partial results on the convexity of the Parisi functional with PDE approach

Wei-Kuo Chen

arxiv:1308.6559 v2 · 2013-08-29 · math.PR · math-ph · math.AP · math.FA · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SVVESXDUTP6BPIP4526HBDHMT2}

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 2026-05-18T03:07:33.877206Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

956a495c749bfc17a1fceebc708cec9ea28cc26ca00f64d70aaef91379b262e8

Aliases

arxiv: 1308.6559 · arxiv_version: 1308.6559v2 · doi: 10.48550/arxiv.1308.6559 · pith_short_12: SVVESXDUTP6B · pith_short_16: SVVESXDUTP6BPIP4 · pith_short_8: SVVESXDU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SVVESXDUTP6BPIP4526HBDHMT2 \
  | 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: 956a495c749bfc17a1fceebc708cec9ea28cc26ca00f64d70aaef91379b262e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aff32e9554535e605ff262d2e3b15a977172f297903496aa7b5f1851de04fed7",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-29T19:03:48Z",
    "title_canon_sha256": "0e667b0e2e1aa4b830e6ad7b7c47d6d73714ec0dedbd855d0c54c6c0d94822e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6559",
    "kind": "arxiv",
    "version": 2
  }
}