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Pith Number

pith:7JP7XMND

pith:2006:7JP7XMNDMRRZ2DW3ZMTKCYKIT5
not attested not anchored not stored refs pending

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports

Francisco Marcellan, Juan Jose Moreno-Balcazar

arxiv:math/0604074 v2 · 2006-04-04 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7JP7XMNDMRRZ2DW3ZMTKCYKIT5}

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 2026-05-18T04:08:35.536827Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa5ffbb1a364639d0edbcb26a161489f7ef3d6c98565ea89ef0c8ae815c92a9f

Aliases

arxiv: math/0604074 · arxiv_version: math/0604074v2 · doi: 10.48550/arxiv.math/0604074 · pith_short_12: 7JP7XMNDMRRZ · pith_short_16: 7JP7XMNDMRRZ2DW3 · pith_short_8: 7JP7XMND
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7JP7XMNDMRRZ2DW3ZMTKCYKIT5 \
  | 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: fa5ffbb1a364639d0edbcb26a161489f7ef3d6c98565ea89ef0c8ae815c92a9f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b63cdce23893fbc6e995700576ab8933cc86d33cb46f435f560541ac5bf9d9ca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-04-04T14:24:06Z",
    "title_canon_sha256": "6fb77a048cfbac52a0141941e597eca8c94bec813b2393ae93c9d79d37db8911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604074",
    "kind": "arxiv",
    "version": 2
  }
}