Pith Number

pith:MW6F6EW2

pith:2011:MW6F6EW27BFI7CFOTFL7BMO62K

not attested not anchored not stored refs pending

Approximation properties of certain operator-induced norms on Hilbert spaces

Arash A. Amini, Martin J. Wainwright

arxiv:1105.6351 v1 · 2011-05-31 · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MW6F6EW27BFI7CFOTFL7BMO62K}

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	2026-05-18T04:20:59.672442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bc5f12daf84a8f88ae9957f0b1ded2be9cd45b54ca175af14fad2eb77b1001

Aliases

arxiv: 1105.6351 · arxiv_version: 1105.6351v1 · doi: 10.48550/arxiv.1105.6351 · pith_short_12: MW6F6EW27BFI · pith_short_16: MW6F6EW27BFI7CFO · pith_short_8: MW6F6EW2

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/MW6F6EW27BFI7CFOTFL7BMO62K \
  | 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: 65bc5f12daf84a8f88ae9957f0b1ded2be9cd45b54ca175af14fad2eb77b1001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03970ddd6d1648f4ac71a401227da81f1b1d63efbb1b00be435b71f5b76f2b39",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-05-31T17:51:52Z",
    "title_canon_sha256": "0310abbb24c352b4fc83fc153b3275fcc0df47dc7f92d3cbd2243c4ac08af458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6351",
    "kind": "arxiv",
    "version": 1
  }
}