Pith Number

pith:A37QX57V

pith:2015:A37QX57VAQ24CDJGT4ZPBB5EIN

not attested not anchored not stored refs pending

Commutator inequalities via Schur products

Erik Christensen

arxiv:1512.04979 v1 · 2015-12-15 · math.FA · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A37QX57VAQ24CDJGT4ZPBB5EIN}

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	2026-05-18T01:24:13.837813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ff0bf7f50435c10d269f32f087a4436276a3bbd6ef4925cb32ead8da894a97

Aliases

arxiv: 1512.04979 · arxiv_version: 1512.04979v1 · doi: 10.48550/arxiv.1512.04979 · pith_short_12: A37QX57VAQ24 · pith_short_16: A37QX57VAQ24CDJG · pith_short_8: A37QX57V

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/A37QX57VAQ24CDJGT4ZPBB5EIN \
  | 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: 06ff0bf7f50435c10d269f32f087a4436276a3bbd6ef4925cb32ead8da894a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62163c4bf79eb5fd493a3b48e1282e61bf8fd9f74959189c9e86b52bbbf6728e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-15T21:46:11Z",
    "title_canon_sha256": "14bb258160b3fc20444270f0508b50b5b9489cea4f8ef74091ed6f33c1446fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04979",
    "kind": "arxiv",
    "version": 1
  }
}