Pith Number

pith:OKLHPVW2

pith:2007:OKLHPVW2FSOK3U5T5WFI6I344X

not attested not anchored not stored refs pending

A Maurey type result for operator spaces

Hun Hee Lee, Marius Junge

arxiv:0707.0152 v2 · 2007-07-02 · math.FA · 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{OKLHPVW2FSOK3U5T5WFI6I344X}

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	2026-07-04T15:05:27.439937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

729677d6da2c9cadd3b3ed8a8f237ce5fc71443a99668831d11aa499654ab8cc

Aliases

arxiv: 0707.0152 · arxiv_version: 0707.0152v2 · doi: 10.48550/arxiv.0707.0152 · pith_short_12: OKLHPVW2FSOK · pith_short_16: OKLHPVW2FSOK3U5T · pith_short_8: OKLHPVW2

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/OKLHPVW2FSOK3U5T5WFI6I344X \
  | 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: 729677d6da2c9cadd3b3ed8a8f237ce5fc71443a99668831d11aa499654ab8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c958c4784d43f80d397817395d0eed598478be3256bf06e0b92dc113cca33fd6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-07-02T06:34:13Z",
    "title_canon_sha256": "84dba3fd4b71860fc7b4c2c35b8629293622d6d14dfc7c4558abb77da1c0d017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0152",
    "kind": "arxiv",
    "version": 2
  }
}