Pith Number

pith:DCJVZN6E

pith:2017:DCJVZN6EWXB4E6U4LW35RPMMJQ

not attested not anchored not stored refs pending

The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras

Gabriel Larotonda

arxiv:1706.07115 v1 · 2017-06-21 · math.OA · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCJVZN6EWXB4E6U4LW35RPMMJQ}

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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	2026-05-18T00:41:52.575761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18935cb7c4b5c3c27a9c5db7d8bd8c4c0ef72d3f0d4928a6590004dae9b09169

Aliases

arxiv: 1706.07115 · arxiv_version: 1706.07115v1 · doi: 10.48550/arxiv.1706.07115 · pith_short_12: DCJVZN6EWXB4 · pith_short_16: DCJVZN6EWXB4E6U4 · pith_short_8: DCJVZN6E

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/DCJVZN6EWXB4E6U4LW35RPMMJQ \
  | 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: 18935cb7c4b5c3c27a9c5db7d8bd8c4c0ef72d3f0d4928a6590004dae9b09169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "365c324a25a5a31d002ac04f5d822aadf8847a1afeba6aadd518d94a81cc36d7",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-21T20:41:46Z",
    "title_canon_sha256": "01218446c801ec475d294c95e23b441b4b69bfb90cb6c62d5021ae938e0c2838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07115",
    "kind": "arxiv",
    "version": 1
  }
}