Pith Number

pith:WXXOQ7YB

pith:2013:WXXOQ7YB7QZWXGJRUZ6FZ66BIU

not attested not anchored not stored refs pending

Estimating Norms of Commutators

Fredy Vides, Terry A. Loring

arxiv:1301.4252 v3 · 2013-01-17 · 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{WXXOQ7YB7QZWXGJRUZ6FZ66BIU}

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	2026-05-18T02:18:50.166290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5eee87f01fc336b9931a67c5cfbc14539b0a17524dbddcff755ea33e74fcc18

Aliases

arxiv: 1301.4252 · arxiv_version: 1301.4252v3 · doi: 10.48550/arxiv.1301.4252 · pith_short_12: WXXOQ7YB7QZW · pith_short_16: WXXOQ7YB7QZWXGJR · pith_short_8: WXXOQ7YB

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/WXXOQ7YB7QZWXGJRUZ6FZ66BIU \
  | 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: b5eee87f01fc336b9931a67c5cfbc14539b0a17524dbddcff755ea33e74fcc18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b35ee70b753ddf8f8165701ec0855ab86f1e53189c9d07b19bdfd0c71e5688",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-01-17T21:43:51Z",
    "title_canon_sha256": "b690ed7f38cc99f51dd3cf45eaa70b6287a9772160744f30d91f22796df9815b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4252",
    "kind": "arxiv",
    "version": 3
  }
}