Pith Number

pith:AZ7UXLM7

pith:2018:AZ7UXLM7UMOE3LQBGQGLH72P6M

not attested not anchored not stored refs pending

A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation

Jianxiong Cao, Pei-yong Zhu, Xian-Ming Gu, Xi-Le Zhao, Yong-Liang Zhao

arxiv:1806.10262 v2 · 2018-06-27 · 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{AZ7UXLM7UMOE3LQBGQGLH72P6M}

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	2026-05-17T23:45:09.783826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

067f4bad9fa31c4dae01340cb3ff4ff31a1adfde71560cac530c02c168026445

Aliases

arxiv: 1806.10262 · arxiv_version: 1806.10262v2 · doi: 10.48550/arxiv.1806.10262 · pith_short_12: AZ7UXLM7UMOE · pith_short_16: AZ7UXLM7UMOE3LQB · pith_short_8: AZ7UXLM7

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/AZ7UXLM7UMOE3LQBGQGLH72P6M \
  | 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: 067f4bad9fa31c4dae01340cb3ff4ff31a1adfde71560cac530c02c168026445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1b946ca1af9b9af00a91dab8e543a98ae62a95b2910cd907d19f8294e77cde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-06-27T00:59:18Z",
    "title_canon_sha256": "4c4bc9af3112a5ad55cbb368775bc44728167b5cceb56d0247148f6311bdd451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10262",
    "kind": "arxiv",
    "version": 2
  }
}