Pith Number

pith:QNDAQ5MW

pith:2007:QNDAQ5MWB43QMHWW4XVFECRY2S

not attested not anchored not stored refs pending

Complete isometries between subspaces of noncommutative Lp-spaces

Mikael de la Salle

arxiv:0707.0427 v2 · 2007-07-03 · math.OA · 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{QNDAQ5MWB43QMHWW4XVFECRY2S}

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	2026-05-18T00:31:23.029250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83460875960f37061ed6e5ea520a38d4accb3ab6faac216c426c0608872e5f41

Aliases

arxiv: 0707.0427 · arxiv_version: 0707.0427v2 · doi: 10.48550/arxiv.0707.0427 · pith_short_12: QNDAQ5MWB43Q · pith_short_16: QNDAQ5MWB43QMHWW · pith_short_8: QNDAQ5MW

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/QNDAQ5MWB43QMHWW4XVFECRY2S \
  | 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: 83460875960f37061ed6e5ea520a38d4accb3ab6faac216c426c0608872e5f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "143732815be766bec0c0fc0c0f270c616de68572319b599e78c1824c66839331",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-07-03T14:39:08Z",
    "title_canon_sha256": "3255a56eb0f0b116eea66afae9a8b313a2a7de0d30011da584d9f28ad9003c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0427",
    "kind": "arxiv",
    "version": 2
  }
}