Pith Number

pith:4KLKAB6T

pith:2025:4KLKAB6TOXSYOWJN24BTX6D5OA

not attested not anchored not stored refs pending

The Vectorial Hadwiger Theorem on Convex Functions

Fabian Mussnig, Mohamed A. Mouamine

arxiv:2504.04952 v2 · 2025-04-07 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KLKAB6TOXSYOWJN24BTX6D5OA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

3 papers in Pith

Additive Kinematic Formulas for Functional Minkowski Vectors

Explicit solutions to Christoffel-Minkowski problems and Hessian equations under rotational symmetries

Integral representation of polynomial local functionals on convex functions

Receipt and verification

First computed	2026-07-05T10:52:59.064021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e296a007d375e587592dd7033bf87d701e820831efe4f3ef9611098377ffd539

Aliases

arxiv: 2504.04952 · arxiv_version: 2504.04952v2 · doi: 10.48550/arxiv.2504.04952 · pith_short_12: 4KLKAB6TOXSY · pith_short_16: 4KLKAB6TOXSYOWJN · pith_short_8: 4KLKAB6T

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/4KLKAB6TOXSYOWJN24BTX6D5OA \
  | 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: e296a007d375e587592dd7033bf87d701e820831efe4f3ef9611098377ffd539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238bd4f11727122b458ffc5501e28e55e9c3c25a7638eb5002d1d275867e2f5b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-04-07T11:35:27Z",
    "title_canon_sha256": "9e293fe5608cc35595ce55722c130fcc2ceb4ced4514b307fe99a694dc61c9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04952",
    "kind": "arxiv",
    "version": 2
  }
}