Pith Number

pith:AXRKJKTZ

pith:2017:AXRKJKTZYNMDUKQERQZ2GCOBFN

not attested not anchored not stored refs pending

More on the Density of Analytic Polynomials in Abstract Hardy Spaces

Alexei Karlovich, Eugene Shargorodsky

arxiv:1711.08826 v1 · 2017-11-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXRKJKTZYNMDUKQERQZ2GCOBFN}

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	2026-05-18T00:29:43.996617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e2a4aa79c3583a2a048c33a309c12b73c1af74a6c2d83ba6b4c793734fe80e

Aliases

arxiv: 1711.08826 · arxiv_version: 1711.08826v1 · doi: 10.48550/arxiv.1711.08826 · pith_short_12: AXRKJKTZYNMD · pith_short_16: AXRKJKTZYNMDUKQE · pith_short_8: AXRKJKTZ

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/AXRKJKTZYNMDUKQERQZ2GCOBFN \
  | 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: 05e2a4aa79c3583a2a048c33a309c12b73c1af74a6c2d83ba6b4c793734fe80e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd98a78e2ac9c827a7d8bf02e0ec8454a46d8b7d8c43bc79ed66832d39c8fb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-23T20:45:24Z",
    "title_canon_sha256": "dfaa033c50ad8499c9616543453f0689967606e57b681a4ac11a28b40dc9cee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08826",
    "kind": "arxiv",
    "version": 1
  }
}