Pith Number

pith:7JCPO2FV

pith:2018:7JCPO2FVYPZB6H5HE2OTDJ4GMV

not attested not anchored not stored refs pending

Isometries on Banach algebras of $C(Y)$-valued maps

Osamu Hatori

arxiv:1803.08236 v4 · 2018-03-22 · 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{7JCPO2FVYPZB6H5HE2OTDJ4GMV}

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	2026-05-17T23:49:11.819210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa44f768b5c3f21f1fa7269d31a78665431d5c534d5974962d387a7daa62e427

Aliases

arxiv: 1803.08236 · arxiv_version: 1803.08236v4 · doi: 10.48550/arxiv.1803.08236 · pith_short_12: 7JCPO2FVYPZB · pith_short_16: 7JCPO2FVYPZB6H5H · pith_short_8: 7JCPO2FV

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/7JCPO2FVYPZB6H5HE2OTDJ4GMV \
  | 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: fa44f768b5c3f21f1fa7269d31a78665431d5c534d5974962d387a7daa62e427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acab990b1eba6f73da532c2571407a27114508ce64b6f7c860443bf5fa55cc6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-22T06:03:59Z",
    "title_canon_sha256": "4b0c91a2c6854d0f8afe6ab6585e6d198da5cd53733dc8bee56b5024ed82bac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08236",
    "kind": "arxiv",
    "version": 4
  }
}