pith. sign in
Pith Number

pith:MNJM5Z35

pith:2016:MNJM5Z35WJAZWZYEDQULA3KDDM
not attested not anchored not stored refs pending

Bergman orthogonal polynomials and the Grunsky matrix

Bernhard Beckermann (LPP), Nikos Stylianopoulos

arxiv:1606.00553 v2 · 2016-06-02 · math.CA · math.CV · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MNJM5Z35WJAZWZYEDQULA3KDDM}

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 2026-05-18T01:11:26.588018Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6352cee77db2419b67041c28b06d431b0b5b92295a566741327558d4a7cf18bb

Aliases

arxiv: 1606.00553 · arxiv_version: 1606.00553v2 · doi: 10.48550/arxiv.1606.00553 · pith_short_12: MNJM5Z35WJAZ · pith_short_16: MNJM5Z35WJAZWZYE · pith_short_8: MNJM5Z35
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MNJM5Z35WJAZWZYEDQULA3KDDM \
  | 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: 6352cee77db2419b67041c28b06d431b0b5b92295a566741327558d4a7cf18bb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cedcd125fc622fe8a1bf11ce80af8a3ce1710fd4ee0f3f7f7d2b52b39f1e9ebb",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-02T06:39:39Z",
    "title_canon_sha256": "2f9918e33ef31acf6ee592a1067b9f249d1b13672db8ac1b1b5fadfee0a0c275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00553",
    "kind": "arxiv",
    "version": 2
  }
}