Pith Number

pith:7C6J3SMB

pith:2002:7C6J3SMBNUFS3NKEAAJJVD62A7

not attested not anchored not stored refs pending

The optimal order for the p-th moment of sums of independent random variables with respect to symmetric norms and related combinatorial estimates

Marius Junge

arxiv:math/0209278 v2 · 2002-09-20 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7C6J3SMBNUFS3NKEAAJJVD62A7}

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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	2026-07-04T14:36:28.041524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8bc9dc9816d0b2db54400129a8fda07d3f62fc0ae80515760da7f6e3b4d9c3c

Aliases

arxiv: math/0209278 · arxiv_version: math/0209278v2 · doi: 10.48550/arxiv.math/0209278 · pith_short_12: 7C6J3SMBNUFS · pith_short_16: 7C6J3SMBNUFS3NKE · pith_short_8: 7C6J3SMB

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/7C6J3SMBNUFS3NKEAAJJVD62A7 \
  | 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: f8bc9dc9816d0b2db54400129a8fda07d3f62fc0ae80515760da7f6e3b4d9c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88482816219c7241af3d62d1af50871db505004b7ff3033fd85049fec75f6757",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-09-20T21:28:44Z",
    "title_canon_sha256": "c50213a5150ded81fa7e457e061fafb53e85c01cb681d2f74eca6e9688608212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209278",
    "kind": "arxiv",
    "version": 2
  }
}