Pith Number

pith:K7X2NMKX

pith:2018:K7X2NMKX6XMMIBL43RAPJIDQAE

not attested not anchored not stored refs pending

Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight

Andrei Mart\'inez-Finkelshtein, Guilherme Silva

arxiv:1805.01748 v1 · 2018-05-04 · math.CV · 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{K7X2NMKX6XMMIBL43RAPJIDQAE}

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	2026-05-18T00:16:46.846195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57efa6b157f5d8c4057cdc40f4a070011057643ac5af140098be03cd3586792e

Aliases

arxiv: 1805.01748 · arxiv_version: 1805.01748v1 · doi: 10.48550/arxiv.1805.01748 · pith_short_12: K7X2NMKX6XMM · pith_short_16: K7X2NMKX6XMMIBL4 · pith_short_8: K7X2NMKX

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/K7X2NMKX6XMMIBL43RAPJIDQAE \
  | 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: 57efa6b157f5d8c4057cdc40f4a070011057643ac5af140098be03cd3586792e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e2f0f6762707ee1c5f24af293a52ee4d29eede69efed0cd890f33df9c7f673",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-05-04T12:54:46Z",
    "title_canon_sha256": "1b36db065abddffdf660ddfd8de10c669c14b1c9b7b04a53fe91319a71279018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01748",
    "kind": "arxiv",
    "version": 1
  }
}