Pith Number

pith:NAIRSCEN

pith:2015:NAIRSCEN5RZSBCD7332BSCJ6IJ

not attested not anchored not stored refs pending

A Note on Hardy Spaces and Bounded Operators

Pablo Rocha

arxiv:1502.07542 v2 · 2015-02-26 · 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{NAIRSCEN5RZSBCD7332BSCJ6IJ}

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	2026-05-18T02:25:55.399677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681119088dec7320887fdef419093e42409b91f6fd9e6985f39c721829eca5b5

Aliases

arxiv: 1502.07542 · arxiv_version: 1502.07542v2 · doi: 10.48550/arxiv.1502.07542 · pith_short_12: NAIRSCEN5RZS · pith_short_16: NAIRSCEN5RZSBCD7 · pith_short_8: NAIRSCEN

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/NAIRSCEN5RZSBCD7332BSCJ6IJ \
  | 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: 681119088dec7320887fdef419093e42409b91f6fd9e6985f39c721829eca5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f08d436b45a27a3b3d0d445ce268aac286628c810d706897f6e3af5d72f880",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-26T13:21:10Z",
    "title_canon_sha256": "511745c3e81b32e3c5b01cf55101b3bf7bb713769192da3fac306b93c355d8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07542",
    "kind": "arxiv",
    "version": 2
  }
}