Pith Number

pith:VMGB6LCJ

pith:2017:VMGB6LCJYEC5ARSKC3UD4JWSIV

not attested not anchored not stored refs pending

Density of spaces of trigonometric polynomials with frequencies from a subgroup in $L^\alpha$-spaces

Juan Miguel Medina, Lutz Peter Klotz, Manfred Riedel

arxiv:1709.02846 v1 · 2017-09-08 · 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{VMGB6LCJYEC5ARSKC3UD4JWSIV}

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	2026-05-18T00:35:40.328199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0c1f2c49c105d0464a16e83e26d2457381bc29e32c967605909e5a98c307fc

Aliases

arxiv: 1709.02846 · arxiv_version: 1709.02846v1 · doi: 10.48550/arxiv.1709.02846 · pith_short_12: VMGB6LCJYEC5 · pith_short_16: VMGB6LCJYEC5ARSK · pith_short_8: VMGB6LCJ

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/VMGB6LCJYEC5ARSKC3UD4JWSIV \
  | 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: ab0c1f2c49c105d0464a16e83e26d2457381bc29e32c967605909e5a98c307fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7939a96728599b51eafde86a38695068c01470e0a28cb48a63feadaf24605e06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-08T19:57:22Z",
    "title_canon_sha256": "5959f34457ef13ef4c6043422917ac5662a6fb5e7c51f22a19c0351237348002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02846",
    "kind": "arxiv",
    "version": 1
  }
}