Pith Number

pith:CUZEQ76T

pith:2015:CUZEQ76TMMWW75ROWJY3I5CI7E

not attested not anchored not stored refs pending

Construction and implementation of asymptotic expansions for Jacobi--type orthogonal polynomials

Alfredo Dea\~no, Daan Huybrechs, Peter Opsomer

arxiv:1502.07191 v4 · 2015-02-25 · cs.MS · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUZEQ76TMMWW75ROWJY3I5CI7E}

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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	2026-05-18T01:29:31.782050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1532487fd3632d6ff62eb271b47448f90f1518711f122fbda90ee1dc974fa058

Aliases

arxiv: 1502.07191 · arxiv_version: 1502.07191v4 · doi: 10.48550/arxiv.1502.07191 · pith_short_12: CUZEQ76TMMWW · pith_short_16: CUZEQ76TMMWW75RO · pith_short_8: CUZEQ76T

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CUZEQ76TMMWW75ROWJY3I5CI7E \
  | 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: 1532487fd3632d6ff62eb271b47448f90f1518711f122fbda90ee1dc974fa058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc1d7ab56640835418c57ddf01e7b83aa8d110afd18ec20efae55d0e5005f6a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2015-02-25T15:07:30Z",
    "title_canon_sha256": "f24948057eee722021c3e0b6397b914e7f4f3e924808d84be4b62be9bda0e0c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07191",
    "kind": "arxiv",
    "version": 4
  }
}