Pith Number

pith:JTCAXR7G

pith:2007:JTCAXR7GH6LCEU4ZUY5VUA5KQS

not attested not anchored not stored refs pending

Leibniz seminorms for "Matrix algebras converge to the sphere"

Marc A. Rieffel (U. C. Berkeley)

arxiv:0707.3229 v3 · 2007-07-21 · math.OA · hep-th · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTCAXR7GH6LCEU4ZUY5VUA5KQS}

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	2026-05-18T04:06:43.842441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc40bc7e63f96225399a63b5a03aa848c5012ceba37e531e225d5dd00b701db

Aliases

arxiv: 0707.3229 · arxiv_version: 0707.3229v3 · doi: 10.48550/arxiv.0707.3229 · pith_short_12: JTCAXR7GH6LC · pith_short_16: JTCAXR7GH6LCEU4Z · pith_short_8: JTCAXR7G

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/JTCAXR7GH6LCEU4ZUY5VUA5KQS \
  | 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: 4cc40bc7e63f96225399a63b5a03aa848c5012ceba37e531e225d5dd00b701db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a6d45cf9c04a3cf9cdc86348f483a4511ad332462be6c49014b6b3aa92a8ad",
    "cross_cats_sorted": [
      "hep-th",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2007-07-21T21:03:23Z",
    "title_canon_sha256": "82d9756c2986c0d1f8ab439a3f9500f33d8b7bb9fdedd3c8b42ffae50d9dac28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3229",
    "kind": "arxiv",
    "version": 3
  }
}