Pith Number

pith:D474M2J3

pith:1996:D474M2J3BMUE3B6PHBOSCCWAL6

not attested not anchored not stored refs pending

Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables

Gideon Schechtman, Joel Zinn, P. Hitczenko, Stanis{\l}aw Kwapie\'n, Thomas Schlumprecht, Wenbo V. Li

arxiv:math/9607209 v1 · 1996-07-18 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D474M2J3BMUE3B6PHBOSCCWAL6}

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	2026-05-18T01:05:47.237557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3fc6693b0b284d87cf385d210ac05fb61829af19c0058c56a4c1bfe8b9e3a0

Aliases

arxiv: math/9607209 · arxiv_version: math/9607209v1 · doi: 10.48550/arxiv.math/9607209 · pith_short_12: D474M2J3BMUE · pith_short_16: D474M2J3BMUE3B6P · pith_short_8: D474M2J3

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/D474M2J3BMUE3B6PHBOSCCWAL6 \
  | 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: 1f3fc6693b0b284d87cf385d210ac05fb61829af19c0058c56a4c1bfe8b9e3a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d834b2929ae414cb90667bdbb327bd454f2ebd6c94be3928bdda1ed597233db",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1996-07-18T00:00:00Z",
    "title_canon_sha256": "ace312a679b4631380dd0c08a7b6e71fa6a43786f7c1f5a624c376c54eb0d552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9607209",
    "kind": "arxiv",
    "version": 1
  }
}