Pith Number

pith:PGOUI27W

pith:2014:PGOUI27WHOZDXG7H34PKVELSTL

not attested not anchored not stored refs pending

A Cascadic Multigrid Algorithm for Computing the Fiedler Vector of Graph Laplacians

Jinchao Xu, John C. Urschel, Ludmil T. Zikatanov, Xiaozhe Hu

arxiv:1412.0565 v1 · 2014-12-01 · 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{PGOUI27WHOZDXG7H34PKVELSTL}

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	2026-05-18T02:32:23.099685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799d446bf63bb23b9be7df1eaa91729ae3d1c405abc821d86b17b7ba0a3c8d6e

Aliases

arxiv: 1412.0565 · arxiv_version: 1412.0565v1 · doi: 10.48550/arxiv.1412.0565 · pith_short_12: PGOUI27WHOZD · pith_short_16: PGOUI27WHOZDXG7H · pith_short_8: PGOUI27W

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/PGOUI27WHOZDXG7H34PKVELSTL \
  | 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: 799d446bf63bb23b9be7df1eaa91729ae3d1c405abc821d86b17b7ba0a3c8d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad16b50c1db4c1d5ab73ab87998efe6bd2154a3b727e361bf5d64d14e36ac3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-01T17:55:12Z",
    "title_canon_sha256": "70f0ec10f1036a8d808e8c48a57716c3bafd3686e7e849575a6277ef51fe7644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0565",
    "kind": "arxiv",
    "version": 1
  }
}