Pith Number

pith:NXLH5A6L

pith:2015:NXLH5A6LMI2Q7J6ZMIP4IOWE7R

not attested not anchored not stored refs pending

The unit ball of the predual of $H^\infty(\mathbb{B}_d)$ has no extreme points

Kenneth R. Davidson, Rapha\"el Clou\^atre

arxiv:1504.01016 v2 · 2015-04-04 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXLH5A6LMI2Q7J6ZMIP4IOWE7R}

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	2026-05-18T01:23:29.380336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd67e83cb62350fa7d9621fc43ac4fc4af2942db7bbb4b5c1e8045294f6bc5c

Aliases

arxiv: 1504.01016 · arxiv_version: 1504.01016v2 · doi: 10.48550/arxiv.1504.01016 · pith_short_12: NXLH5A6LMI2Q · pith_short_16: NXLH5A6LMI2Q7J6Z · pith_short_8: NXLH5A6L

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/NXLH5A6LMI2Q7J6ZMIP4IOWE7R \
  | 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: 6dd67e83cb62350fa7d9621fc43ac4fc4af2942db7bbb4b5c1e8045294f6bc5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb46d48ee11db3e8682b45c4c19946d302021bb903a8aacb8ef98062b52a7976",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-04T15:18:38Z",
    "title_canon_sha256": "10e207e4632313a2ce0df35ed1e0cb5a5ad19c65459085a63fc29d388ee1b40b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01016",
    "kind": "arxiv",
    "version": 2
  }
}