Pith Number

pith:JDX7LU7V

pith:2016:JDX7LU7VUXPHGYVMM4NTTPUY54

not attested not anchored not stored refs pending

A Root-Node Based Algebraic Multigrid Method

Ben S. Southworth, Jacob B. Schroder, Luke N. Olson, Thomas A. Manteuffel

arxiv:1610.03154 v3 · 2016-10-11 · 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{JDX7LU7VUXPHGYVMM4NTTPUY54}

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	2026-05-18T00:25:02.168065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48eff5d3f5a5de7362ac671b39be98ef1649f739072fe2edc773b75ab6262513

Aliases

arxiv: 1610.03154 · arxiv_version: 1610.03154v3 · doi: 10.48550/arxiv.1610.03154 · pith_short_12: JDX7LU7VUXPH · pith_short_16: JDX7LU7VUXPHGYVM · pith_short_8: JDX7LU7V

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/JDX7LU7VUXPHGYVMM4NTTPUY54 \
  | 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: 48eff5d3f5a5de7362ac671b39be98ef1649f739072fe2edc773b75ab6262513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf13425bfacc48b15f48a5913bc950b63b70718b12ed339ea35b4ce98b26cfce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-11T01:51:48Z",
    "title_canon_sha256": "018531ee712e2f1e7bb79e31ab3b9f5d583d0a2dbaca051bf35ef57958d214ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03154",
    "kind": "arxiv",
    "version": 3
  }
}