Pith Number

pith:75QNV7AM

pith:2016:75QNV7AMCS6DD3IRNSQPFYWNTZ

not attested not anchored not stored refs pending

Maximal function characterizations for new local Hardy type spaces on spaces of homogeneous type

Fu Ken Ly, The Anh Bui, Xuan Thinh Duong

arxiv:1609.00176 v2 · 2016-09-01 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75QNV7AMCS6DD3IRNSQPFYWNTZ}

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	2026-05-18T00:46:16.399560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff60dafc0c14bc31ed116ca0f2e2cd9e504851a844e725a5c6ffc29507d1bf20

Aliases

arxiv: 1609.00176 · arxiv_version: 1609.00176v2 · doi: 10.48550/arxiv.1609.00176 · pith_short_12: 75QNV7AMCS6D · pith_short_16: 75QNV7AMCS6DD3IR · pith_short_8: 75QNV7AM

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/75QNV7AMCS6DD3IRNSQPFYWNTZ \
  | 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: ff60dafc0c14bc31ed116ca0f2e2cd9e504851a844e725a5c6ffc29507d1bf20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb6483b08d25ddac8018d9dec11b34d1c5a41fb574003d32826474ace5cef29",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-01T10:22:14Z",
    "title_canon_sha256": "078f67210d0dffa0a69140146acdc4551a794d529f45c539920563862a17e8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00176",
    "kind": "arxiv",
    "version": 2
  }
}