Pith Number

pith:UFV3WAXU

pith:2019:UFV3WAXUQP6K3MTKQMLSRXT3YK

not attested not anchored not stored refs pending

Revisiting Biorthogonal Polynomials. An $LU$ factorization discussion

Manuel Ma\~nas

arxiv:1907.04280 v1 · 2019-07-09 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFV3WAXUQP6K3MTKQMLSRXT3YK}

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.

Cited by

1 paper in Pith

Revisiting Biorthogonal Polynomials. An $LU$ factorization discussion

Receipt and verification

First computed	2026-05-17T23:41:02.790524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a16bbb02f483fcadb26a831728de7bc29cbfde3ca1cad8a25d91f5113c365fb4

Aliases

arxiv: 1907.04280 · arxiv_version: 1907.04280v1 · doi: 10.48550/arxiv.1907.04280 · pith_short_12: UFV3WAXUQP6K · pith_short_16: UFV3WAXUQP6K3MTK · pith_short_8: UFV3WAXU

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/UFV3WAXUQP6K3MTKQMLSRXT3YK \
  | 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: a16bbb02f483fcadb26a831728de7bc29cbfde3ca1cad8a25d91f5113c365fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1ce281ecadf6596327f517ea0ec452b27068f4928bbacedb082c2434710c6f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-09T16:29:11Z",
    "title_canon_sha256": "4c6fc3250ae1cc891783dbb9ba7f979837ae3900df520f392a653ea425c6adbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04280",
    "kind": "arxiv",
    "version": 1
  }
}