Pith Number

pith:BIUZNEZK

pith:2025:BIUZNEZKP3F76PCVO7GSZO42RN

not attested not anchored not stored refs pending

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator

K. Jotsaroop, Riju Basak

arxiv:2509.00327 v1 · 2025-08-30 · math.FA · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIUZNEZKP3F76PCVO7GSZO42RN}

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	2026-07-05T12:02:13.770494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a2996932a7ecbff3c5577cd2cbb9a8b742f19313fa00b56a1f20b37955ab4ec

Aliases

arxiv: 2509.00327 · arxiv_version: 2509.00327v1 · doi: 10.48550/arxiv.2509.00327 · pith_short_12: BIUZNEZKP3F7 · pith_short_16: BIUZNEZKP3F76PCV · pith_short_8: BIUZNEZK

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/BIUZNEZKP3F76PCVO7GSZO42RN \
  | 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: 0a2996932a7ecbff3c5577cd2cbb9a8b742f19313fa00b56a1f20b37955ab4ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c9cd88cd7c6d5fcfe53a7731b42b0a9344b79d376deb5dfc3592ec553c9f505",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-08-30T02:58:05Z",
    "title_canon_sha256": "21169ad5ea240299c4f15c8d5de0c225825cf7ed49d01afeb0103e75d753a519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00327",
    "kind": "arxiv",
    "version": 1
  }
}