Pith Number

pith:HVFAGGGY

pith:2013:HVFAGGGYICX2Q3UQJOGQHMHQK5

not attested not anchored not stored refs pending

Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials

Leandro Cagliero, Tom H. Koornwinder

arxiv:1301.4887 v5 · 2013-01-21 · 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{HVFAGGGYICX2Q3UQJOGQHMHQK5}

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	2026-05-18T02:20:37.143395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d4a0318d840afa86e904b8d03b0f0574b0b53bb1473a199789a5a391cbb9c83

Aliases

arxiv: 1301.4887 · arxiv_version: 1301.4887v5 · doi: 10.48550/arxiv.1301.4887 · pith_short_12: HVFAGGGYICX2 · pith_short_16: HVFAGGGYICX2Q3UQ · pith_short_8: HVFAGGGY

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/HVFAGGGYICX2Q3UQJOGQHMHQK5 \
  | 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: 3d4a0318d840afa86e904b8d03b0f0574b0b53bb1473a199789a5a391cbb9c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b0272c51c5376b77c4b63e729cd806094a1945754130805ab8936ec016e70e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-21T14:59:38Z",
    "title_canon_sha256": "6a71e4fa60e8dfa67b1db2509ef168f835c89a080cd10ab1f2e02576fd4af4c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4887",
    "kind": "arxiv",
    "version": 5
  }
}