Pith Number

pith:KXJ3SCJZ

pith:2017:KXJ3SCJZ5TSBVOQS32TYYFNJEW

not attested not anchored not stored refs pending

Density of Analytic Polynomials in Abstract Hardy Spaces

Alexei Yu. Karlovich

arxiv:1710.10078 v1 · 2017-10-27 · 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{KXJ3SCJZ5TSBVOQS32TYYFNJEW}

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	2026-05-18T00:07:56.227054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d3b90939ece41aba12dea78c15a9259b1fc29a42f64fef5b0e021aeb7e956d

Aliases

arxiv: 1710.10078 · arxiv_version: 1710.10078v1 · doi: 10.48550/arxiv.1710.10078 · pith_short_12: KXJ3SCJZ5TSB · pith_short_16: KXJ3SCJZ5TSBVOQS · pith_short_8: KXJ3SCJZ

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/KXJ3SCJZ5TSBVOQS32TYYFNJEW \
  | 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: 55d3b90939ece41aba12dea78c15a9259b1fc29a42f64fef5b0e021aeb7e956d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f771cec545b2e9b4c5f0e469b04552e9e2999220b489a1e8e47599b79a39b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-27T11:13:40Z",
    "title_canon_sha256": "eb77168ae15faa7a539d9d4fc396b5f637feb9bb9fd2bc46b4ed390ef4173e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10078",
    "kind": "arxiv",
    "version": 1
  }
}