Pith Number

pith:U3NPHSZP

pith:2016:U3NPHSZPYEOKZFFYJDFXDXPABD

not attested not anchored not stored refs pending

Optimal Solvers for Linear Systems with Fractional Powers of Sparse SPD Matrices

Pencho Marinov, Raytcho Lazarov, Stanislav Harizanov, Svetozar Margenov, Yavor Vutov

arxiv:1612.04846 v3 · 2016-12-14 · 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{U3NPHSZPYEOKZFFYJDFXDXPABD}

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	2026-05-18T00:22:11.183736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6daf3cb2fc11cac94b848cb71dde008eb538bec635d058e2c7fcd5ee350d5b6

Aliases

arxiv: 1612.04846 · arxiv_version: 1612.04846v3 · doi: 10.48550/arxiv.1612.04846 · pith_short_12: U3NPHSZPYEOK · pith_short_16: U3NPHSZPYEOKZFFY · pith_short_8: U3NPHSZP

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/U3NPHSZPYEOKZFFYJDFXDXPABD \
  | 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: a6daf3cb2fc11cac94b848cb71dde008eb538bec635d058e2c7fcd5ee350d5b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c7eda9d113cfeb80c15490eb64bb47b8e8e13a6403445282a7d86e3fe1a5a3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-14T21:25:51Z",
    "title_canon_sha256": "5d43553b64aa5324e08d10c9b17156b3d186d0f295b62f888e8a51aa49811ed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04846",
    "kind": "arxiv",
    "version": 3
  }
}