Pith Number

pith:PV7F3FCR

pith:2025:PV7F3FCR5SHKQGWBD6D5DXXAP7

not attested not anchored not stored refs pending

Generalizing the Cauchy-Schwarz inequality: Hadamard powers and tensor products

Charles Torrance, Luis M. B. Varona, Nathaniel Johnston, Sarah Plosker

arxiv:2507.10327 v1 · 2025-07-14 · math.FA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PV7F3FCR5SHKQGWBD6D5DXXAP7}

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

Dynamic Linear Attention

Receipt and verification

First computed	2026-07-05T11:36:49.602818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7e5d9451ec8ea81ac11f87d1dee07fc591e35ecd856cd0021d6c44f52f4d4f

Aliases

arxiv: 2507.10327 · arxiv_version: 2507.10327v1 · doi: 10.48550/arxiv.2507.10327 · pith_short_12: PV7F3FCR5SHK · pith_short_16: PV7F3FCR5SHKQGWB · pith_short_8: PV7F3FCR

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/PV7F3FCR5SHKQGWBD6D5DXXAP7 \
  | 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: 7d7e5d9451ec8ea81ac11f87d1dee07fc591e35ecd856cd0021d6c44f52f4d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0da90894cec937d74c81a89477817b7284d8701376f537fd94b3b99d66c4722",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-07-14T14:36:34Z",
    "title_canon_sha256": "8334634e7a078f3533433334e9f1d542b420db21926fa77c5df7154286e71339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10327",
    "kind": "arxiv",
    "version": 1
  }
}