Pith Number

pith:HAYF3VSQ

pith:2026:HAYF3VSQUOLYCMLJ5VOH2VHUBF

not attested not anchored not stored refs pending

Moment comparisons, Sudakov inequalities and entropy of centroid bodies

Antonios Hmadi, Dimitris-Marios Liakopoulos

arxiv:2608.10853 v1 · 2026-08-11 · math.MG · math.FA · 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{HAYF3VSQUOLYCMLJ5VOH2VHUBF}

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	2026-08-12T01:23:33.341028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38305dd650a397813169ed5c7d54f4096ca4f4c6b71b535880818adb512fd814

Aliases

arxiv: 2608.10853 · arxiv_version: 2608.10853v1 · doi: 10.48550/arxiv.2608.10853 · pith_short_12: HAYF3VSQUOLY · pith_short_16: HAYF3VSQUOLYCMLJ · pith_short_8: HAYF3VSQ

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/HAYF3VSQUOLYCMLJ5VOH2VHUBF \
  | 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: 38305dd650a397813169ed5c7d54f4096ca4f4c6b71b535880818adb512fd814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3522a4afacc0ccee799f6965e14eb83be82116be4ebf72f2af46df7f91aada0",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-08-11T12:25:33Z",
    "title_canon_sha256": "e90f7e60e444c860add6aa0dc915d50ca5dbeec1c25e8bfe61f1e4cad451e36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10853",
    "kind": "arxiv",
    "version": 1
  }
}