Pith Number

pith:ASZMRE6P

pith:2018:ASZMRE6PR4F4XXRRELXYYTTHX5

not attested not anchored not stored refs pending

Rational approximations to fractional powers of self-adjoint positive operators

Lidia Aceto, Paolo Novati

arxiv:1807.10086 v1 · 2018-07-26 · 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{ASZMRE6PR4F4XXRRELXYYTTHX5}

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	2026-06-04T19:12:09.417137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b2c893cf8f0bcbde3122ef8c4e67bf47f2e511079c85a1ca1e939379f80cd4

Aliases

arxiv: 1807.10086 · arxiv_version: 1807.10086v1 · doi: 10.48550/arxiv.1807.10086 · pith_short_12: ASZMRE6PR4F4 · pith_short_16: ASZMRE6PR4F4XXRR · pith_short_8: ASZMRE6P

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/ASZMRE6PR4F4XXRRELXYYTTHX5 \
  | 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: 04b2c893cf8f0bcbde3122ef8c4e67bf47f2e511079c85a1ca1e939379f80cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd31d4caae9aabe8e1f32a148e428ed4bef917579b5125692dd637d564a5bfa7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-07-26T12:11:29Z",
    "title_canon_sha256": "6c7078824291474e05ed4e56753e3fe0596876c1d124f3fe2f73f6952471fab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10086",
    "kind": "arxiv",
    "version": 1
  }
}