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Pith Number

pith:ZIKDPBMC

pith:2006:ZIKDPBMCTCXQFLDQ54SXIZ4YNC
not attested not anchored not stored refs pending

Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle

Walter Van Assche

arxiv:math/0606334 v1 · 2006-06-14 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZIKDPBMCTCXQFLDQ54SXIZ4YNC}

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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 2026-05-18T03:11:24.431784Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ca1437858298af02ac70ef257467986886505e1b5bd124c3f1d360a1a60fe429

Aliases

arxiv: math/0606334 · arxiv_version: math/0606334v1 · doi: 10.48550/arxiv.math/0606334 · pith_short_12: ZIKDPBMCTCXQ · pith_short_16: ZIKDPBMCTCXQFLDQ · pith_short_8: ZIKDPBMC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZIKDPBMCTCXQFLDQ54SXIZ4YNC \
  | 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: ca1437858298af02ac70ef257467986886505e1b5bd124c3f1d360a1a60fe429
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6b609c2a372d2512d77f1cb8d5c7bf3ddffd1a69ff7005e5699d09ab80b4782d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-06-14T10:36:34Z",
    "title_canon_sha256": "337896aa4601b00c1781feaf3e638ffc7c47b16ab2f20ace5155395a61f8df7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606334",
    "kind": "arxiv",
    "version": 1
  }
}