Pith Number

pith:ECIGVC4J

pith:2016:ECIGVC4J3EU6DHG7D43EBBIQM3

not attested not anchored not stored refs pending

Beurling densities and frames of exponentials on the union of small balls

Chun-kit Lai, Jean-Pierre Gabardo

arxiv:1605.00165 v1 · 2016-04-30 · math.FA · 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{ECIGVC4J3EU6DHG7D43EBBIQM3}

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	2026-05-18T01:15:56.559579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20906a8b89d929e19cdf1f3640851066c19bb6aebd6f4dd4266edb0e7fd49dd3

Aliases

arxiv: 1605.00165 · arxiv_version: 1605.00165v1 · doi: 10.48550/arxiv.1605.00165 · pith_short_12: ECIGVC4J3EU6 · pith_short_16: ECIGVC4J3EU6DHG7 · pith_short_8: ECIGVC4J

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/ECIGVC4J3EU6DHG7D43EBBIQM3 \
  | 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: 20906a8b89d929e19cdf1f3640851066c19bb6aebd6f4dd4266edb0e7fd49dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19eebc7d8f65aca45ed53898593c3772177df70ac8404c7934fc08f8f0fc954f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-30T20:48:33Z",
    "title_canon_sha256": "06d91ebffc3cd6e21d297efc02470819033f5015169f935f56db1cb1f02d06ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00165",
    "kind": "arxiv",
    "version": 1
  }
}