Pith Number

pith:GAB5MIV2

pith:2017:GAB5MIV2LUCZ7KQR62URDJCYJO

not attested not anchored not stored refs pending

Duality results for a general trigonometric approximation problem

Conrad M\"adler, Lutz Klotz

arxiv:1711.07708 v1 · 2017-11-21 · 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{GAB5MIV2LUCZ7KQR62URDJCYJO}

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	2026-05-18T00:29:56.683475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3003d622ba5d059faa11f6a911a4584ba736ee16abe33ba5783138b43cb6dc6f

Aliases

arxiv: 1711.07708 · arxiv_version: 1711.07708v1 · doi: 10.48550/arxiv.1711.07708 · pith_short_12: GAB5MIV2LUCZ · pith_short_16: GAB5MIV2LUCZ7KQR · pith_short_8: GAB5MIV2

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/GAB5MIV2LUCZ7KQR62URDJCYJO \
  | 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: 3003d622ba5d059faa11f6a911a4584ba736ee16abe33ba5783138b43cb6dc6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfd74d1438a167261d23f52bf1c7d7fb5db3a8e58e23e877436248e0334ce373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-21T10:40:41Z",
    "title_canon_sha256": "24f92dfb1e0f04773deb93d3f00d768a23d35a4736050891401bf75c62ccd77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07708",
    "kind": "arxiv",
    "version": 1
  }
}