Pith Number

pith:BDXFCNRP

pith:2017:BDXFCNRPJZ5EX6C5LU452HSZO2

not attested not anchored not stored refs pending

A Multilier Theorem on Anisotropic Hardy Spaces

Li-An Daniel Wang

arxiv:1704.06971 v1 · 2017-04-23 · 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{BDXFCNRPJZ5EX6C5LU452HSZO2}

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	2026-05-18T00:45:55.176537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ee51362f4e7a4bf85d5d39dd1e59768361792e3aad946929516de8803a2c2b

Aliases

arxiv: 1704.06971 · arxiv_version: 1704.06971v1 · doi: 10.48550/arxiv.1704.06971 · pith_short_12: BDXFCNRPJZ5E · pith_short_16: BDXFCNRPJZ5EX6C5 · pith_short_8: BDXFCNRP

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/BDXFCNRPJZ5EX6C5LU452HSZO2 \
  | 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: 08ee51362f4e7a4bf85d5d39dd1e59768361792e3aad946929516de8803a2c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25b513de9bb18e4ef7fa3d4b55e968c29b337dbc074ab40441366347ac614d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-04-23T20:13:41Z",
    "title_canon_sha256": "2781955a21cc45dbfe3e1ac0f5cd6cc377105f7885e53b132ccc73935f0ec615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06971",
    "kind": "arxiv",
    "version": 1
  }
}