Pith Number

pith:ZT3NSC2Y

pith:2025:ZT3NSC2YE3KVBJTDQJFOX73YSX

not attested not anchored not stored refs pending

The $L_{p}$ dual Christoffel-Minkowski problem for $1<p<q\leq k+1$ with $1\leq k\leq n$

Carlos Cabezas-Moreno, Jinrong Hu

arxiv:2504.04931 v2 · 2025-04-07 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZT3NSC2YE3KVBJTDQJFOX73YSX}

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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

Compactness of the $L_p$ dual Minkowski problem in $\mathbb{R}^3$

Receipt and verification

First computed	2026-07-05T11:49:32.980583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf6d90b5826d550a663824aebff7895d8bdb8fb44f9e7677546e93e06ab329a

Aliases

arxiv: 2504.04931 · arxiv_version: 2504.04931v2 · doi: 10.48550/arxiv.2504.04931 · pith_short_12: ZT3NSC2YE3KV · pith_short_16: ZT3NSC2YE3KVBJTD · pith_short_8: ZT3NSC2Y

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/ZT3NSC2YE3KVBJTDQJFOX73YSX \
  | 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: ccf6d90b5826d550a663824aebff7895d8bdb8fb44f9e7677546e93e06ab329a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867addca0d5b49d86c8c1ef8a7cb012957a98bf6a59ccc0b70890843759e2ce0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-07T11:15:36Z",
    "title_canon_sha256": "b43215f0ddc8a081292a01c46bfad0c94fbf0c44cea4947d19c2d83299c0bdd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04931",
    "kind": "arxiv",
    "version": 2
  }
}