Pith Number

pith:YYGC4JVL

pith:2015:YYGC4JVLMCIEWUUF4IYZTHKALN

not attested not anchored not stored refs pending

Pivoted Cholesky decomposition by Cross Approximation for efficient solution of kernel systems

Dishi Liu, Hermann G. Matthies

arxiv:1505.06195 v4 · 2015-05-21 · 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{YYGC4JVLMCIEWUUF4IYZTHKALN}

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	2026-05-17T23:47:44.651457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60c2e26ab60904b5285e231999d405b7c6ff87f27d727d118625fa8894662f3

Aliases

arxiv: 1505.06195 · arxiv_version: 1505.06195v4 · doi: 10.48550/arxiv.1505.06195 · pith_short_12: YYGC4JVLMCIE · pith_short_16: YYGC4JVLMCIEWUUF · pith_short_8: YYGC4JVL

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/YYGC4JVLMCIEWUUF4IYZTHKALN \
  | 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: c60c2e26ab60904b5285e231999d405b7c6ff87f27d727d118625fa8894662f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0cc3225e0f54f681aec01dfe51adb45ae6f32593f27095352e70e78f729210b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-05-21T13:11:13Z",
    "title_canon_sha256": "b07993cec1b11a240de656dd5be53e0c0660734fedc652ea0bcb33788d260c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06195",
    "kind": "arxiv",
    "version": 4
  }
}