Pith Number

pith:W22WA3CZ

pith:2016:W22WA3CZTRYART62XCYLS726B2

not attested not anchored not stored refs pending

Some families of operator norm inequalities

Imam Nugraha Albania, Masaru Nagisa

arxiv:1610.07302 v1 · 2016-10-24 · math.FA · 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{W22WA3CZTRYART62XCYLS726B2}

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	2026-05-18T01:01:30.441281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b5606c599c7008cfdab8b0b97f5e0ea5092ee554d42a56e86ff3f9d2357e48

Aliases

arxiv: 1610.07302 · arxiv_version: 1610.07302v1 · doi: 10.48550/arxiv.1610.07302 · pith_short_12: W22WA3CZTRYA · pith_short_16: W22WA3CZTRYART62 · pith_short_8: W22WA3CZ

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/W22WA3CZTRYART62XCYLS726B2 \
  | 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: b6b5606c599c7008cfdab8b0b97f5e0ea5092ee554d42a56e86ff3f9d2357e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a586466a99846c35e13f0b33cdb79eeacf3ffc7ccbff669f2abb784c04e1b4a2",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-24T07:14:41Z",
    "title_canon_sha256": "573e78665148b6f46071c8124fcecd575a0b761e5d03a9c99f95de16f564f6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07302",
    "kind": "arxiv",
    "version": 1
  }
}