Pith Number

pith:EB7DP7I6

pith:2016:EB7DP7I63DWUBR5LMV6S5I7MEQ

not attested not anchored not stored refs pending

Direct and inverse approximation theorems of $2\pi$-periodic functions by Taylor--Abel--Poisson means

Andrii Shidlich, J\"urgen Prestin, Viktor Savchuk

arxiv:1609.09615 v1 · 2016-09-30 · 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{EB7DP7I63DWUBR5LMV6S5I7MEQ}

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	2026-05-18T01:03:35.545843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

207e37fd1ed8ed40c7ab657d2ea3ec2432d29c5b2331139cb00e25dab26ae96b

Aliases

arxiv: 1609.09615 · arxiv_version: 1609.09615v1 · doi: 10.48550/arxiv.1609.09615 · pith_short_12: EB7DP7I63DWU · pith_short_16: EB7DP7I63DWUBR5L · pith_short_8: EB7DP7I6

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/EB7DP7I63DWUBR5LMV6S5I7MEQ \
  | 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: 207e37fd1ed8ed40c7ab657d2ea3ec2432d29c5b2331139cb00e25dab26ae96b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a09bfa6d331751dee1ab4990b717721e9908f33762a871624e9ab52c6491660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-30T07:22:08Z",
    "title_canon_sha256": "9ebdf501663dd0f2a72d3235931b2f7956334abb3c160428e4d62210b0c984e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09615",
    "kind": "arxiv",
    "version": 1
  }
}