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Pith Number

pith:FZEZT7ME

pith:2016:FZEZT7MELPAMGBWE76XTBTZI7G
not attested not anchored not stored refs pending

Extremals of Log Sobolev inequality on non-compact manifolds and Ricci soliton structures

Giona Veronelli, Michele Rimoldi

arxiv:1605.09240 v3 · 2016-05-30 · math.DG · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FZEZT7MELPAMGBWE76XTBTZI7G}

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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 2026-05-17T23:50:29.009936Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2e4999fd845bc0c306c4ffaf30cf28f9b5eb5897bc00c837c7e13fc80077c647

Aliases

arxiv: 1605.09240 · arxiv_version: 1605.09240v3 · doi: 10.48550/arxiv.1605.09240 · pith_short_12: FZEZT7MELPAM · pith_short_16: FZEZT7MELPAMGBWE · pith_short_8: FZEZT7ME
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FZEZT7MELPAMGBWE76XTBTZI7G \
  | 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: 2e4999fd845bc0c306c4ffaf30cf28f9b5eb5897bc00c837c7e13fc80077c647
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e3967531a12e183680e9ad3b5de6691bea25a141030282de40eea9c78e18d2c6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-30T14:13:10Z",
    "title_canon_sha256": "7f8b4573b5062323e2191d27e6ddb3807504144fb19905b676b635efcdefad13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09240",
    "kind": "arxiv",
    "version": 3
  }
}