Pith Number

pith:GHEW3WFT

pith:2016:GHEW3WFTPDEXZZTE5OAFNLMPD4

not attested not anchored not stored refs pending

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

Daan Huybrechs, Peter Opsomer

arxiv:1612.07578 v1 · 2016-12-22 · cs.NA · 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{GHEW3WFTPDEXZZTE5OAFNLMPD4}

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	2026-05-18T00:26:08.436354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c96dd8b378c97ce664eb8056ad8f1f03df397f57ec5ce22eb86c1eaf0e02d6

Aliases

arxiv: 1612.07578 · arxiv_version: 1612.07578v1 · doi: 10.48550/arxiv.1612.07578 · pith_short_12: GHEW3WFTPDEX · pith_short_16: GHEW3WFTPDEXZZTE · pith_short_8: GHEW3WFT

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/GHEW3WFTPDEXZZTE5OAFNLMPD4 \
  | 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: 31c96dd8b378c97ce664eb8056ad8f1f03df397f57ec5ce22eb86c1eaf0e02d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d9eda970c885482315044c46e5eb0bc2681a16d8c7289b6f9e8d0f7ad7d1af7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2016-12-22T12:36:19Z",
    "title_canon_sha256": "d0a3149d5b56b03e42257523816eb98ea1042fb9f1a602c82741faee604ccb52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07578",
    "kind": "arxiv",
    "version": 1
  }
}