Pith Number

pith:4MOCKMCD

pith:2010:4MOCKMCDZQJ5NDVLRGUEKBPH76

not attested not anchored not stored refs pending

Leibniz Seminorms and Best Approximation from C*-subalgebras

Marc A. Rieffel (U. C. Berkeley)

arxiv:1008.3733 v4 · 2010-08-23 · 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{4MOCKMCDZQJ5NDVLRGUEKBPH76}

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.

Cited by

1 paper in Pith

Quantum Hamming Metrics

Receipt and verification

First computed	2026-05-18T04:06:43.664580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31c253043cc13d68eab89a84505e7ff817776dfe68a3bbdbbe6a9879c32cb0a

Aliases

arxiv: 1008.3733 · arxiv_version: 1008.3733v4 · doi: 10.48550/arxiv.1008.3733 · pith_short_12: 4MOCKMCDZQJ5 · pith_short_16: 4MOCKMCDZQJ5NDVL · pith_short_8: 4MOCKMCD

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/4MOCKMCDZQJ5NDVLRGUEKBPH76 \
  | 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: e31c253043cc13d68eab89a84505e7ff817776dfe68a3bbdbbe6a9879c32cb0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0ea98ba41225d3ccd76489b3c776f1686bdd763b4da62e03653e5e2b5c2999",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-08-23T00:52:28Z",
    "title_canon_sha256": "0cc5cc997d4209c05cf73c6b3d5890f913ae64c88d103fa6894929c034f4e057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3733",
    "kind": "arxiv",
    "version": 4
  }
}