Pith Number

pith:757SQBXI

pith:2012:757SQBXIHHXNBV2ENIIKHFPUNF

not attested not anchored not stored refs pending

Approximation properties for noncommutative Lp-spaces associated with lattices in Lie groups

Tim de Laat

arxiv:1208.5939 v2 · 2012-08-29 · math.OA · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{757SQBXIHHXNBV2ENIIKHFPUNF}

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	2026-05-18T01:35:52.559199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff7f2806e839eed0d7446a10a395f4696ef8f547185e058fde78560f9c74fe18

Aliases

arxiv: 1208.5939 · arxiv_version: 1208.5939v2 · doi: 10.48550/arxiv.1208.5939 · pith_short_12: 757SQBXIHHXN · pith_short_16: 757SQBXIHHXNBV2E · pith_short_8: 757SQBXI

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/757SQBXIHHXNBV2ENIIKHFPUNF \
  | 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: ff7f2806e839eed0d7446a10a395f4696ef8f547185e058fde78560f9c74fe18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14fa162e2f78b6685ca9cd06c79460f11e370937874d0ba14f291c5bdf55b7ca",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-29T15:08:36Z",
    "title_canon_sha256": "c79280f81e1afd0be0f1378492c16a2259b04a221bc733ed5f67547fb4fd69ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5939",
    "kind": "arxiv",
    "version": 2
  }
}