Pith Number

pith:DZ32IPWC

pith:2024:DZ32IPWCFU2OOYBF4DIPKOOY2X

not attested not anchored not stored refs pending

The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction

Andrea Colesanti, Elisa Francini, Galyna Livshyts, Paolo Salani

arxiv:2407.21354 v2 · 2024-07-31 · math.AP · math.MG

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\usepackage{pith}
\pithnumber{DZ32IPWCFU2OOYBF4DIPKOOY2X}

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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 Mean-Field Limit of Online Stochastic Vector Balancing

Receipt and verification

First computed	2026-07-05T08:52:37.423200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e77a43ec22d34e76025e0d0f539d8d5e0e604113ac5995fd0eacf25da0e420f

Aliases

arxiv: 2407.21354 · arxiv_version: 2407.21354v2 · doi: 10.48550/arxiv.2407.21354 · pith_short_12: DZ32IPWCFU2O · pith_short_16: DZ32IPWCFU2OOYBF · pith_short_8: DZ32IPWC

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/DZ32IPWCFU2OOYBF4DIPKOOY2X \
  | 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: 1e77a43ec22d34e76025e0d0f539d8d5e0e604113ac5995fd0eacf25da0e420f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4333e7a1196a90e8c1c85693082d681fab7550f9b407c167e5a445fc9832c9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-31T05:52:08Z",
    "title_canon_sha256": "2770037eb0ff21b1ae968f545865df89055dec035ab55880a7f90cf420e4df50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21354",
    "kind": "arxiv",
    "version": 2
  }
}