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Pith Number

pith:RZPVR33G

pith:2024:RZPVR33GPGHGPN6YSEHY24WDHG
not attested not anchored not stored refs pending

Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation

Alessio Figalli, Marius Tiba, Peter van Hintum

arxiv:2407.10932 v1 · 2024-07-15 · math.AP · math.CO · math.MG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RZPVR33GPGHGPN6YSEHY24WDHG}

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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

Receipt and verification
First computed 2026-07-05T08:44:06.335132Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8e5f58ef66798e67b7d8910f8d72c33999d260d1ccd2965e9136c584088a12f1

Aliases

arxiv: 2407.10932 · arxiv_version: 2407.10932v1 · doi: 10.48550/arxiv.2407.10932 · pith_short_12: RZPVR33GPGHG · pith_short_16: RZPVR33GPGHGPN6Y · pith_short_8: RZPVR33G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RZPVR33GPGHGPN6YSEHY24WDHG \
  | 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: 8e5f58ef66798e67b7d8910f8d72c33999d260d1ccd2965e9136c584088a12f1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0f5f97c75f1b8043ca21add41eee5748ed6f36a48978adceda4e8b17b9df6d2a",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-15T17:32:21Z",
    "title_canon_sha256": "b6f43cb848427087e61502244ba5d9af9f1121d1751e7d6403c71e3393e45fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.10932",
    "kind": "arxiv",
    "version": 1
  }
}