Pith Number

pith:2FPOQKVK

pith:2019:2FPOQKVKZBQKILVJBL4TZC52FP

not attested not anchored not stored refs pending

On symmetrizing the ultraspherical spectral method for self-adjoint problems

Jared Lee Aurentz, Richard Mikael Slevinsky

arxiv:1903.08538 v1 · 2019-03-20 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FPOQKVKZBQKILVJBL4TZC52FP}

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	2026-06-04T20:14:15.667957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d15ee82aaac860a42ea90af93c8bba2bff9e1ae633dbad5e0c07b0629e6f4ef2

Aliases

arxiv: 1903.08538 · arxiv_version: 1903.08538v1 · doi: 10.48550/arxiv.1903.08538 · pith_short_12: 2FPOQKVKZBQK · pith_short_16: 2FPOQKVKZBQKILVJ · pith_short_8: 2FPOQKVK

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/2FPOQKVKZBQKILVJBL4TZC52FP \
  | 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: d15ee82aaac860a42ea90af93c8bba2bff9e1ae633dbad5e0c07b0629e6f4ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae355e424b9de5a3771755523999208a892f44e59622ba82431e9f57ead9acc",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-20T15:04:13Z",
    "title_canon_sha256": "952ee407b77e170320cb1e744bb4063b2c2346f9b63d21b3b337b2fb2bf2d7d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08538",
    "kind": "arxiv",
    "version": 1
  }
}