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Pith Number

pith:TDA6GWG4

pith:2012:TDA6GWG4OOIAVD5MROQOPUDPXK
not attested not anchored not stored refs pending

Certain upper bounds on the eigenvalues associated with prolate spheroidal wave functions

Andrei Osipov

arxiv:1206.4541 v1 · 2012-06-20 · math.FA · math.CA · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TDA6GWG4OOIAVD5MROQOPUDPXK}

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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 2026-05-18T03:53:05.465922Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

98c1e358dc73900a8fac8ba0e7d06fba9fdbb566bd97bd3dc68583aa7d5dec1f

Aliases

arxiv: 1206.4541 · arxiv_version: 1206.4541v1 · doi: 10.48550/arxiv.1206.4541 · pith_short_12: TDA6GWG4OOIA · pith_short_16: TDA6GWG4OOIAVD5M · pith_short_8: TDA6GWG4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TDA6GWG4OOIAVD5MROQOPUDPXK \
  | 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: 98c1e358dc73900a8fac8ba0e7d06fba9fdbb566bd97bd3dc68583aa7d5dec1f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "35789bad0522dc1a2affc33aeb6941b8dfd5c814600532617837741c36b66080",
    "cross_cats_sorted": [
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-20T15:38:06Z",
    "title_canon_sha256": "46447a7212ff735d6aa54a95d4ab8c85744559b692b3239e1a89083602c60f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4541",
    "kind": "arxiv",
    "version": 1
  }
}