Pith Number

pith:OVBZN2LN

pith:2018:OVBZN2LNK7ROK5Y4RGNM56WSIH

not attested not anchored not stored refs pending

Dual Spaces of Anisotropic Mixed-Norm Hardy Spaces

Dachun Yang, Jun Liu, Long Huang, Wen Yuan

arxiv:1804.05558 v1 · 2018-04-16 · math.CA · math.AP · 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{OVBZN2LNK7ROK5Y4RGNM56WSIH}

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	2026-05-18T00:18:27.838567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

754396e96d57e2e5771c899acefad241cadbcf10eb313dd258fbeb780417a8dd

Aliases

arxiv: 1804.05558 · arxiv_version: 1804.05558v1 · doi: 10.48550/arxiv.1804.05558 · pith_short_12: OVBZN2LNK7RO · pith_short_16: OVBZN2LNK7ROK5Y4 · pith_short_8: OVBZN2LN

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/OVBZN2LNK7ROK5Y4RGNM56WSIH \
  | 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: 754396e96d57e2e5771c899acefad241cadbcf10eb313dd258fbeb780417a8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020634acf7392233f69a034501de21bb34c0e49e3daf49fcb6862d7c9fdd58f1",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-04-16T09:02:56Z",
    "title_canon_sha256": "e2b69163cb762a85f0d4bba10d03a2816467c43223fe55e37c381a436b164e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05558",
    "kind": "arxiv",
    "version": 1
  }
}