Pith Number

pith:E4LN7MX6

pith:2022:E4LN7MX6UWZCUGO5DQB2YLSYTT

not attested not anchored not stored refs pending

Hardy Spaces Associated with Some Anisotropic Mixed-Norm Herz Spaces and Their Applications

Jiang Zhou, Yichun Zhao

arxiv:2210.02932 v1 · 2022-10-06 · 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{E4LN7MX6UWZCUGO5DQB2YLSYTT}

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	2026-07-05T05:04:05.423434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2716dfb2fea5b22a19dd1c03ac2e589cc0b7da585de24722c0ba685d8327ac9b

Aliases

arxiv: 2210.02932 · arxiv_version: 2210.02932v1 · doi: 10.48550/arxiv.2210.02932 · pith_short_12: E4LN7MX6UWZC · pith_short_16: E4LN7MX6UWZCUGO5 · pith_short_8: E4LN7MX6

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/E4LN7MX6UWZCUGO5DQB2YLSYTT \
  | 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: 2716dfb2fea5b22a19dd1c03ac2e589cc0b7da585de24722c0ba685d8327ac9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed4b8f60303593e9cb519f8fe2529d7d04fe81722fa818d60044d69f592169a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-10-06T14:06:00Z",
    "title_canon_sha256": "61790cc77dd53f58606dbbc44c66a2f1b866d22301db748300e8c4bcef37e885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02932",
    "kind": "arxiv",
    "version": 1
  }
}