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Pith Number

pith:UM7FYLNX

pith:2012:UM7FYLNXDC6V7IYBITID3E7IVW
not attested not anchored not stored refs pending

A basic class of symmetric orthogonal polynomials of a discrete variable

Iv\'an Area, Mohammad Masjed-Jamei

arxiv:1210.2842 v1 · 2012-10-10 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UM7FYLNXDC6V7IYBITID3E7IVW}

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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 2026-05-18T03:43:28.272408Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a33e5c2db718bd5fa30144d03d93e8ad8c10a5db743cc1f4155ca572d25d9df3

Aliases

arxiv: 1210.2842 · arxiv_version: 1210.2842v1 · doi: 10.48550/arxiv.1210.2842 · pith_short_12: UM7FYLNXDC6V · pith_short_16: UM7FYLNXDC6V7IYB · pith_short_8: UM7FYLNX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UM7FYLNXDC6V7IYBITID3E7IVW \
  | 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: a33e5c2db718bd5fa30144d03d93e8ad8c10a5db743cc1f4155ca572d25d9df3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c9d2c71080c9056a981f06525670433052323c586464e1e168a29440d45f5a5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-10T09:18:29Z",
    "title_canon_sha256": "a6bf361a988a6dfe00b1058585cabbeaa15337bfe39e9f0f66f1865d6615a920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2842",
    "kind": "arxiv",
    "version": 1
  }
}