Pith Number

pith:LS6NWM6O

pith:2026:LS6NWM6OZACPFDBYVTNA2HN4RU

not attested not anchored not stored refs pending

High-dimensional limits and extremizers for maximal functions associated with log-concave densities

B{\l}a\.zej Wr\'obel, Valentina Ciccone

arxiv:2607.06041 v1 · 2026-07-07 · math.CA · math.FA · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LS6NWM6OZACPFDBYVTNA2HN4RU}

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.

Receipt and verification

First computed	2026-07-08T01:18:54.745217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbcdb33cec804f28c38acda0d1dbc8d0db4c5507fad4caa75db1adbc2c3e784

Aliases

arxiv: 2607.06041 · arxiv_version: 2607.06041v1 · doi: 10.48550/arxiv.2607.06041 · pith_short_12: LS6NWM6OZACP · pith_short_16: LS6NWM6OZACPFDBY · pith_short_8: LS6NWM6O

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/LS6NWM6OZACPFDBYVTNA2HN4RU \
  | 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: 5cbcdb33cec804f28c38acda0d1dbc8d0db4c5507fad4caa75db1adbc2c3e784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7482b5ed809f0d06d9c297076a931f11235dc17822ea00e62f4c0c757199caab",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-07T09:16:36Z",
    "title_canon_sha256": "6e3c1094450476f13ef2a9018df7fd57058158e227b71aeb6ab47428a5636723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06041",
    "kind": "arxiv",
    "version": 1
  }
}