Pith Number

pith:4E5SXLSD

pith:2015:4E5SXLSDFDZGXLTO56JJWPGI4H

not attested not anchored not stored refs pending

Model spaces and Toeplitz kernels in reflexive Hardy spaces

J.R. Partington, M.C. C\^amara, M.T. Malheiro

arxiv:1507.05797 v1 · 2015-07-21 · math.FA · 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{4E5SXLSDFDZGXLTO56JJWPGI4H}

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	2026-05-18T01:36:32.436928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13b2bae4328f26bae6eef929b3cc8e1e5e5b453e559b98d159a61d19b8c58d1

Aliases

arxiv: 1507.05797 · arxiv_version: 1507.05797v1 · doi: 10.48550/arxiv.1507.05797 · pith_short_12: 4E5SXLSDFDZG · pith_short_16: 4E5SXLSDFDZGXLTO · pith_short_8: 4E5SXLSD

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/4E5SXLSDFDZGXLTO56JJWPGI4H \
  | 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: e13b2bae4328f26bae6eef929b3cc8e1e5e5b453e559b98d159a61d19b8c58d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cdd024b62466deb15150b6043eca4987f3a32d8074c33d4e6a7f8c9e01bd58f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-21T12:02:50Z",
    "title_canon_sha256": "e93ec006e1a68871142bc4dfe0240950cf86206660fd7c1d10ee4912d9181a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05797",
    "kind": "arxiv",
    "version": 1
  }
}