Pith Number

pith:V52EOB4A

pith:2018:V52EOB4AOWQ66FMQB54K4GKX7E

not attested not anchored not stored refs pending

On a norm inequality for a positive block-matrix

Tomohiro Hayashi

arxiv:1808.00181 v1 · 2018-08-01 · 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{V52EOB4AOWQ66FMQB54K4GKX7E}

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	2026-05-18T00:09:08.499894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7447078075a1ef15900f78ae1957f9151fc8dafbbe4119e7274bd1a220ce9d

Aliases

arxiv: 1808.00181 · arxiv_version: 1808.00181v1 · doi: 10.48550/arxiv.1808.00181 · pith_short_12: V52EOB4AOWQ6 · pith_short_16: V52EOB4AOWQ66FMQ · pith_short_8: V52EOB4A

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/V52EOB4AOWQ66FMQB54K4GKX7E \
  | 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: af7447078075a1ef15900f78ae1957f9151fc8dafbbe4119e7274bd1a220ce9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4400d4697ca1540f03db254d8fa747b76d9fe6a71e81dd42745df4db6ffa7f7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-01T06:17:15Z",
    "title_canon_sha256": "2a59fd146125e8351e59115a22b6fbf718aa60814f7b999d2385f8998de79fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00181",
    "kind": "arxiv",
    "version": 1
  }
}