Pith Number

pith:PPZSR2SC

pith:2024:PPZSR2SCT6BF35JERD6TOOJJ6Y

not attested not anchored not stored refs pending

The Riesz $\alpha$-energy of log-concave functions and related Minkowski problem

Deping Ye, Niufa Fang, Zengle Zhang

arxiv:2408.16141 v1 · 2024-08-28 · math.FA · math.AP · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPZSR2SCT6BF35JERD6TOOJJ6Y}

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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

The Gaussian Minkowski problem for epigraphs of convex functions

Receipt and verification

First computed	2026-07-05T09:00:26.499251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf328ea429f825df52488fd373929f6297e5bdf4854507ecee30dd70e886b74

Aliases

arxiv: 2408.16141 · arxiv_version: 2408.16141v1 · doi: 10.48550/arxiv.2408.16141 · pith_short_12: PPZSR2SCT6BF · pith_short_16: PPZSR2SCT6BF35JE · pith_short_8: PPZSR2SC

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/PPZSR2SCT6BF35JERD6TOOJJ6Y \
  | 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: 7bf328ea429f825df52488fd373929f6297e5bdf4854507ecee30dd70e886b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5de97921c27878d4b7488ea3e47ce9c67b2ef0ecbfcec6f40cfdebca832f79",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-08-28T21:07:37Z",
    "title_canon_sha256": "625c68498d4740f649251634dd8b2a9420e04f80a36faa731c368b728ad9b72c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16141",
    "kind": "arxiv",
    "version": 1
  }
}