Pith Number

pith:VADHQKAR

pith:2017:VADHQKARW6NBI26YGJCILUUQVF

not attested not anchored not stored refs pending

Contractive inequalities for Hardy spaces

Jing Zhao, Joaquim Ortega-Cerd\`a, Kristian Seip, Ole Fredrik Brevig

arxiv:1706.00738 v2 · 2017-06-02 · 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{VADHQKARW6NBI26YGJCILUUQVF}

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	2026-05-17T23:59:18.046860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a806782811b79a146bd8324485d290a95b61de168a819e4a9334c44f317f76dc

Aliases

arxiv: 1706.00738 · arxiv_version: 1706.00738v2 · doi: 10.48550/arxiv.1706.00738 · pith_short_12: VADHQKARW6NB · pith_short_16: VADHQKARW6NBI26Y · pith_short_8: VADHQKAR

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/VADHQKARW6NBI26YGJCILUUQVF \
  | 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: a806782811b79a146bd8324485d290a95b61de168a819e4a9334c44f317f76dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b5cda9646b2685e1407ae7dc0ee22cb22fc12a19b159855f0249b4c988024c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-02T16:08:31Z",
    "title_canon_sha256": "7d52bbf54cc5651aa3bf13ccf66412ec7c91f47e9b73cf08ea16e9980447c367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00738",
    "kind": "arxiv",
    "version": 2
  }
}