Pith Number

pith:4XDZP5NR

pith:2020:4XDZP5NR4STHDPCRZXQLIQO6XG

not attested not anchored not stored refs pending

Molecular Decomposition of Anisotropic Hardy Spaces with Variable Exponents

Aiting Wang, Baode Li, Wenhua Wang, Xiong Liu

arxiv:2011.09666 v1 · 2020-11-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XDZP5NR4STHDPCRZXQLIQO6XG}

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	2026-07-05T01:52:50.965922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c797f5b1e4a671bc51cde0b441deb98e57ad91050bbdb62dbc5659aa2a2876

Aliases

arxiv: 2011.09666 · arxiv_version: 2011.09666v1 · doi: 10.48550/arxiv.2011.09666 · pith_short_12: 4XDZP5NR4STH · pith_short_16: 4XDZP5NR4STHDPCR · pith_short_8: 4XDZP5NR

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/4XDZP5NR4STHDPCRZXQLIQO6XG \
  | 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: e5c797f5b1e4a671bc51cde0b441deb98e57ad91050bbdb62dbc5659aa2a2876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93be271d1eb798a3bb4e7606239eb90613e3895e64f8b9803b39b98f1bb9208d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-11-18T08:39:12Z",
    "title_canon_sha256": "617055e4f7df6e5502819ec70ff5f4d2892f3becf9040abbcc02282af74393e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09666",
    "kind": "arxiv",
    "version": 1
  }
}