Pith Number

pith:RJDAPTG6

pith:2014:RJDAPTG6MLI3GVICBAPGSLGF7X

not attested not anchored not stored refs pending

New weighted multilinear operators and commutators of Hardy-Ces\`aro type

Ha Duy Hung, Luong Dang Ky

arxiv:1407.0156 v2 · 2014-07-01 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJDAPTG6MLI3GVICBAPGSLGF7X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:17:12.161890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4607ccde62d1b35502081e692cc5fdd54cca15b8f0555abc4168cfb3f96351

Aliases

arxiv: 1407.0156 · arxiv_version: 1407.0156v2 · doi: 10.48550/arxiv.1407.0156 · pith_short_12: RJDAPTG6MLI3 · pith_short_16: RJDAPTG6MLI3GVIC · pith_short_8: RJDAPTG6

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/RJDAPTG6MLI3GVICBAPGSLGF7X \
  | 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: 8a4607ccde62d1b35502081e692cc5fdd54cca15b8f0555abc4168cfb3f96351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837aa0e83cbd19df7c6c8875380773fe1f48de7631094c86195edfabe4230f3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-07-01T09:31:50Z",
    "title_canon_sha256": "0fc8fd2d731c19b78c9df3d748e1c3ebbc8bd4a695206a0c80814c6a3c6aa7fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0156",
    "kind": "arxiv",
    "version": 2
  }
}