Pith Number

pith:SIB22DWU

pith:2007:SIB22DWUZWE2GOL2XOMCLNCPNF

not attested not anchored not stored refs pending

Finite dimensional subspaces of noncommutative $L_p$ spaces

Hun Hee Lee

arxiv:0711.1208 v2 · 2007-11-08 · 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{SIB22DWUZWE2GOL2XOMCLNCPNF}

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	2026-05-18T03:48:34.656525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9203ad0ed4cd89a3397abb9825b44f6963a17c7fe238866d3521c4ea7120f795

Aliases

arxiv: 0711.1208 · arxiv_version: 0711.1208v2 · doi: 10.48550/arxiv.0711.1208 · pith_short_12: SIB22DWUZWE2 · pith_short_16: SIB22DWUZWE2GOL2 · pith_short_8: SIB22DWU

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/SIB22DWUZWE2GOL2XOMCLNCPNF \
  | 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: 9203ad0ed4cd89a3397abb9825b44f6963a17c7fe238866d3521c4ea7120f795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a84c7e8716fb30ce4f97ff5db6205025249b8f03ad38d32bc695d334a0b0ae",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-11-08T06:39:05Z",
    "title_canon_sha256": "b222cef4a58165ca4de4eb4cf3e3b94289cde55b5f27af46abf8da7ca85ba204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1208",
    "kind": "arxiv",
    "version": 2
  }
}