Pith Number

pith:3UPXLKUB

pith:2013:3UPXLKUBGDMEDX6MEUPKS5RE3F

not attested not anchored not stored refs pending

Local Fourier Analysis of Multigrid Methods with Polynomial Smoothers and Aggressive coarsening

Carmen Rodrigo, James Brannick, Ludmil Zikatanov, Xiaozhe Hu

arxiv:1310.8385 v2 · 2013-10-31 · 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{3UPXLKUBGDMEDX6MEUPKS5RE3F}

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	2026-05-18T02:32:31.054420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1f75aa8130d841dfcc251ea97624d9453253c1da3340019925d86d5d130abd

Aliases

arxiv: 1310.8385 · arxiv_version: 1310.8385v2 · doi: 10.48550/arxiv.1310.8385 · pith_short_12: 3UPXLKUBGDME · pith_short_16: 3UPXLKUBGDMEDX6M · pith_short_8: 3UPXLKUB

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/3UPXLKUBGDMEDX6MEUPKS5RE3F \
  | 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: dd1f75aa8130d841dfcc251ea97624d9453253c1da3340019925d86d5d130abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4ba81ca6b317342cc5353722d2073bb33ab2c5fa77b147b7677c0a16e7fc2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-31T05:13:43Z",
    "title_canon_sha256": "e43eda3a5d3fb9f51908463318a53d7c0a952f6555ca17d4b426af459b9c693e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8385",
    "kind": "arxiv",
    "version": 2
  }
}