Pith Number

pith:QPBSHET5

pith:2015:QPBSHET5NWH7WJ4VMXGOXCA7X2

not attested not anchored not stored refs pending

Rational Approximation, Hardy Space - Decomposition of Functions in $L_p, p<1$: Further Results in Relation to Fourier Spectrum Characterization of Hardy Spaces

Guantie Deng, Tao Qian

arxiv:1503.08417 v1 · 2015-03-29 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPBSHET5NWH7WJ4VMXGOXCA7X2}

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	2026-05-18T02:20:01.817898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c323927d6d8ffb279565cceb881fbea133797eeeb02b8271d40982ca37aba6

Aliases

arxiv: 1503.08417 · arxiv_version: 1503.08417v1 · doi: 10.48550/arxiv.1503.08417 · pith_short_12: QPBSHET5NWH7 · pith_short_16: QPBSHET5NWH7WJ4V · pith_short_8: QPBSHET5

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/QPBSHET5NWH7WJ4VMXGOXCA7X2 \
  | 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: 83c323927d6d8ffb279565cceb881fbea133797eeeb02b8271d40982ca37aba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f1ebca54c4f9ef64437447474751d823e2e4e698d91f899da655c94de29de5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-03-29T11:04:07Z",
    "title_canon_sha256": "231f60dc5968f0f0ac744d75b6069b9b95ca03d3d9231826e1ef97145434a87a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08417",
    "kind": "arxiv",
    "version": 1
  }
}