Pith Number

pith:WCWYZIQ7

pith:2015:WCWYZIQ7DCS22AQF2WPOIQWX3Z

not attested not anchored not stored refs pending

Kantorovich Type Integral Inequalities for Tensor Product of Continuous Fields of Hilbert Space Operators

Pattrawut Chansangiam

arxiv:1509.05306 v2 · 2015-09-17 · 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{WCWYZIQ7DCS22AQF2WPOIQWX3Z}

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	2026-05-18T01:25:54.884464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ad8ca21f18a5ad0205d59ee442d7de638734a0e3add6ce0796e3ff2058d7ae

Aliases

arxiv: 1509.05306 · arxiv_version: 1509.05306v2 · doi: 10.48550/arxiv.1509.05306 · pith_short_12: WCWYZIQ7DCS2 · pith_short_16: WCWYZIQ7DCS22AQF · pith_short_8: WCWYZIQ7

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/WCWYZIQ7DCS22AQF2WPOIQWX3Z \
  | 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: b0ad8ca21f18a5ad0205d59ee442d7de638734a0e3add6ce0796e3ff2058d7ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce98b4155091b19da87af79b8f061ca281534ebdfb50e0f103fdeba4df29820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-17T15:53:49Z",
    "title_canon_sha256": "c1364753b239bd01fe5bc5663b1116a61de0ae5e53d76c5dd68b153db1aa065a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05306",
    "kind": "arxiv",
    "version": 2
  }
}