Pith Number

pith:3UDCVOYM

pith:2014:3UDCVOYMLPODIG7RQT5QHKPHEQ

not attested not anchored not stored refs pending

On 2D discrete Schr\"odinger operators associated with multiple orthogonal polynomials

Alexander I Aptekarev, Maxim Derevyagin, Walter Van Assche

arxiv:1410.1332 v2 · 2014-10-06 · math.CA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UDCVOYMLPODIG7RQT5QHKPHEQ}

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	2026-05-18T02:28:53.813298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd062abb0c5bdc341bf184fb03a9e72424c1ffce83f40c0cdfd1f15893595cde

Aliases

arxiv: 1410.1332 · arxiv_version: 1410.1332v2 · doi: 10.48550/arxiv.1410.1332 · pith_short_12: 3UDCVOYMLPOD · pith_short_16: 3UDCVOYMLPODIG7R · pith_short_8: 3UDCVOYM

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/3UDCVOYMLPODIG7RQT5QHKPHEQ \
  | 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: dd062abb0c5bdc341bf184fb03a9e72424c1ffce83f40c0cdfd1f15893595cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24e4cfbe6a270a0061c79ed1dd76575bd4b1a23a3abc7f30e7b361bb17e1badb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-06T11:52:54Z",
    "title_canon_sha256": "fc767b6b3d5b723e7e694b47f79791050fca1bab30a38908ba68ee2dea08ff81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1332",
    "kind": "arxiv",
    "version": 2
  }
}