Pith Number

pith:3PVJHMHE

pith:2014:3PVJHMHEGQD2QSKVIWKYBPH5GE

not attested not anchored not stored refs pending

Explicit matrix inverses for lower triangular matrices with entries involving continuous q-ultraspherical polynomials

Noud Aldenhoven

arxiv:1411.3533 v2 · 2014-11-13 · 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{3PVJHMHEGQD2QSKVIWKYBPH5GE}

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	2026-05-18T01:36:58.210458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbea93b0e43407a84955459580bcfd31168184a6615eb95927f01f4924129d78

Aliases

arxiv: 1411.3533 · arxiv_version: 1411.3533v2 · doi: 10.48550/arxiv.1411.3533 · pith_short_12: 3PVJHMHEGQD2 · pith_short_16: 3PVJHMHEGQD2QSKV · pith_short_8: 3PVJHMHE

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/3PVJHMHEGQD2QSKVIWKYBPH5GE \
  | 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: dbea93b0e43407a84955459580bcfd31168184a6615eb95927f01f4924129d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b372e8a51d652af5c89a8f25ee1918e9ce50761adbfb8450ec816f69f6f31c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-13T13:09:28Z",
    "title_canon_sha256": "aa191e337c24558bac6d00b9019dbddb4b03484b0988d15d9d119245996a4c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3533",
    "kind": "arxiv",
    "version": 2
  }
}