Pith Number

pith:PF3ZW4TT

pith:2018:PF3ZW4TTJXN3KCG2IR4ME6HVH4

not attested not anchored not stored refs pending

Spectrum-Adapted Polynomial Approximation for Matrix Functions

David I Shuman, Li Fan, Shashanka Ubaru, Yousef Saad

arxiv:1808.09506 v1 · 2018-08-28 · cs.NA · math.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{PF3ZW4TTJXN3KCG2IR4ME6HVH4}

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	2026-05-18T00:06:55.354210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79779b72734ddbb508da4478c278f53f16ad19df81cbb68cc3821d01de57423f

Aliases

arxiv: 1808.09506 · arxiv_version: 1808.09506v1 · doi: 10.48550/arxiv.1808.09506 · pith_short_12: PF3ZW4TTJXN3 · pith_short_16: PF3ZW4TTJXN3KCG2 · pith_short_8: PF3ZW4TT

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/PF3ZW4TTJXN3KCG2IR4ME6HVH4 \
  | 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: 79779b72734ddbb508da4478c278f53f16ad19df81cbb68cc3821d01de57423f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5672a31fb35ed4f8652af9def39c83a8a06ed438b10f636f797f4e80d4be46a1",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2018-08-28T19:31:26Z",
    "title_canon_sha256": "96afd5337d24c41b60f2245e3cd4253b84736d8425810af5bb6a79da17c30b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09506",
    "kind": "arxiv",
    "version": 1
  }
}