Pith Number

pith:IUO44MES

pith:2026:IUO44MESKPQ2OSSPK5SQDLFGKP

not attested not anchored not stored refs pending

Second order mixed moment inequalities based on Gram matrices

Sergio Scarlatti

arxiv:2606.21636 v1 · 2026-06-19 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUO44MESKPQ2OSSPK5SQDLFGKP}

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	2026-06-23T01:13:17.463181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451dce309253e1a74a4f576501aca653fc448dc83a27a8e0a5d47f5f51f53a97

Aliases

arxiv: 2606.21636 · arxiv_version: 2606.21636v1 · doi: 10.48550/arxiv.2606.21636 · pith_short_12: IUO44MESKPQ2 · pith_short_16: IUO44MESKPQ2OSSP · pith_short_8: IUO44MES

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/IUO44MESKPQ2OSSPK5SQDLFGKP \
  | 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: 451dce309253e1a74a4f576501aca653fc448dc83a27a8e0a5d47f5f51f53a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50419b80bdfcf4bee90f81d44d79346cd6ce9df44045edf9667b29302f2c597b",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-19T17:39:05Z",
    "title_canon_sha256": "b0fd17e714a93420c94ca82b102f06897a53d7fd9cb89c3d4eb132ac7688debf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21636",
    "kind": "arxiv",
    "version": 1
  }
}