Pith Number

pith:LL5IBZPM

pith:2017:LL5IBZPMJ3WCLQJ4AMW6MZTUUD

not attested not anchored not stored refs pending

Sobolev extremal polynomials with respect to mutually singular measures

A. Diaz Gonzalez, G. Lopez Lagomasino, H. Pijeira Cabrera

arxiv:1710.02698 v1 · 2017-10-07 · 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{LL5IBZPMJ3WCLQJ4AMW6MZTUUD}

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	2026-05-18T00:33:29.103902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5afa80e5ec4eec25c13c032de66674a0d7e4652530c80b9f8f54f0c5b924ace5

Aliases

arxiv: 1710.02698 · arxiv_version: 1710.02698v1 · doi: 10.48550/arxiv.1710.02698 · pith_short_12: LL5IBZPMJ3WC · pith_short_16: LL5IBZPMJ3WCLQJ4 · pith_short_8: LL5IBZPM

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/LL5IBZPMJ3WCLQJ4AMW6MZTUUD \
  | 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: 5afa80e5ec4eec25c13c032de66674a0d7e4652530c80b9f8f54f0c5b924ace5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bfb7ff82e76784bf09e9c043f68e4271000de5fead75df95aae2ff918744ba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-07T15:44:34Z",
    "title_canon_sha256": "6cea614c2518d78a7978c33ea45148a8e98eb992b8c4f08b62b83b415045cb36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02698",
    "kind": "arxiv",
    "version": 1
  }
}