Pith Number

pith:C55VOBSD

pith:2026:C55VOBSDMGTVNS4UWWSME6KGSY

not attested not anchored not stored refs pending

Sharp Frobenius-Norm Concentration for Sample Moment Tensors

Daniel Sanz-Alonso, Jiaheng Chen

arxiv:2608.11084 v1 · 2026-08-11 · math.PR · math.ST · 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{C55VOBSDMGTVNS4UWWSME6KGSY}

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	2026-08-12T01:24:34.718260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177b57064361a756cb94b5a4c2794696216da3d8eab39cbc513f9d04f076c2d9

Aliases

arxiv: 2608.11084 · arxiv_version: 2608.11084v1 · doi: 10.48550/arxiv.2608.11084 · pith_short_12: C55VOBSDMGTV · pith_short_16: C55VOBSDMGTVNS4U · pith_short_8: C55VOBSD

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/C55VOBSDMGTVNS4UWWSME6KGSY \
  | 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: 177b57064361a756cb94b5a4c2794696216da3d8eab39cbc513f9d04f076c2d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c682ce5f28449dc343f766d4c519f29d24876cfe93b66de4f5f34468bc7d026",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-11T15:53:09Z",
    "title_canon_sha256": "b5a1d3bde12ab9e57fc883e9b967426fcf431b8ded51d42470c2ef91a0337468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11084",
    "kind": "arxiv",
    "version": 1
  }
}