Pith Number

pith:XMKSLN7B

pith:2025:XMKSLN7BGDG2AEGTSKVSBL7ROF

not attested not anchored not stored refs pending

A Minkowski problem for $\alpha$-concave functions via optimal transport

Deping Ye, Nguyen Dac Khoi Nguyen, Xiao Li

arxiv:2506.14735 v2 · 2025-06-17 · math.FA · math.AP · math.MG

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\usepackage{pith}
\pithnumber{XMKSLN7BGDG2AEGTSKVSBL7ROF}

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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	2026-07-05T11:28:37.656290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1525b7e130cda010d392ab20aff17172b6dd01568535955f868028a552eca1

Aliases

arxiv: 2506.14735 · arxiv_version: 2506.14735v2 · doi: 10.48550/arxiv.2506.14735 · pith_short_12: XMKSLN7BGDG2 · pith_short_16: XMKSLN7BGDG2AEGT · pith_short_8: XMKSLN7B

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/XMKSLN7BGDG2AEGTSKVSBL7ROF \
  | 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: bb1525b7e130cda010d392ab20aff17172b6dd01568535955f868028a552eca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c5862f9f4e52f6571edb65a504d213a25188b6e3d5c3068e67dbc698ac363b",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-17T17:17:48Z",
    "title_canon_sha256": "3ff0f65d3fc3b352a679abd5e424c25921f1aaeac62a567bf74344ec86f3836f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14735",
    "kind": "arxiv",
    "version": 2
  }
}