Pith Number

pith:SCKUX5XU

pith:2015:SCKUX5XUSOQBAUIKNR6V56EICN

not attested not anchored not stored refs pending

On weak$^*$-convergence in the localized Hardy spaces $H^1_\rho(\mathcal X)$ and its application

Dinh Thanh Duc, Ha Duy Hung, Luong Dang Ky

arxiv:1511.08075 v1 · 2015-11-25 · math.CA · 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{SCKUX5XUSOQBAUIKNR6V56EICN}

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	2026-05-18T00:50:57.589570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90954bf6f493a010510a6c7d5ef88813495352cd3af38e5ef69232bedf4042da

Aliases

arxiv: 1511.08075 · arxiv_version: 1511.08075v1 · doi: 10.48550/arxiv.1511.08075 · pith_short_12: SCKUX5XUSOQB · pith_short_16: SCKUX5XUSOQBAUIK · pith_short_8: SCKUX5XU

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/SCKUX5XUSOQBAUIKNR6V56EICN \
  | 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: 90954bf6f493a010510a6c7d5ef88813495352cd3af38e5ef69232bedf4042da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "088f71e4fd6462f3377d6dc1ac1495bd4564ac2120e3833f740d6e7de19159c7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-25T14:43:02Z",
    "title_canon_sha256": "7f5ea78f8a37276cc767b4267f741fe80901495d4b38191a986c661a19d42b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08075",
    "kind": "arxiv",
    "version": 1
  }
}