Pith Number

pith:DYLARCIR

pith:2007:DYLARCIRFALKHZKC3J765VAQXV

not attested not anchored not stored refs pending

Noncommutative Burkholder/Rosenthal inequalities II: applications

Marius Junge, Quanhua Xu

arxiv:0705.1952 v1 · 2007-05-14 · math.OA · 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{DYLARCIRFALKHZKC3J765VAQXV}

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.

Cited by

1 paper in Pith

A general proof of integer R\'enyi QNEC

Receipt and verification

First computed	2026-07-04T15:01:22.250340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e160889112816a3e542da7feed410bd4d913261d8a97ffe3b20609167f5b9fc

Aliases

arxiv: 0705.1952 · arxiv_version: 0705.1952v1 · doi: 10.48550/arxiv.0705.1952 · pith_short_12: DYLARCIRFALK · pith_short_16: DYLARCIRFALKHZKC · pith_short_8: DYLARCIR

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/DYLARCIRFALKHZKC3J765VAQXV \
  | 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: 1e160889112816a3e542da7feed410bd4d913261d8a97ffe3b20609167f5b9fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e0f1bce8110b06122d187ee4011c4c5f055f44229877f5fbce29aeeceaa824",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-05-14T14:38:39Z",
    "title_canon_sha256": "85f3754bd14253849c1ae65655d695cb26bc6d341c4c1dacec8472cdbdf8f7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1952",
    "kind": "arxiv",
    "version": 1
  }
}