Pith Number

pith:ZI7VUDOP

pith:2022:ZI7VUDOPF6CQS7WYSAHW627V2V

not attested not anchored not stored refs pending

On the use of hybrid coarse-level models in multilevel minimization methods

Alena Kopani\v{c}\'akov\'a

arxiv:2211.15078 v1 · 2022-11-28 · 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{ZI7VUDOPF6CQS7WYSAHW627V2V}

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	2026-07-05T05:19:59.473622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3f5a0dcf2f85097ed8900f6f6bf5d55da5ee718970ed914338bdf655055ac5

Aliases

arxiv: 2211.15078 · arxiv_version: 2211.15078v1 · doi: 10.48550/arxiv.2211.15078 · pith_short_12: ZI7VUDOPF6CQ · pith_short_16: ZI7VUDOPF6CQS7WY · pith_short_8: ZI7VUDOP

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/ZI7VUDOPF6CQS7WYSAHW627V2V \
  | 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: ca3f5a0dcf2f85097ed8900f6f6bf5d55da5ee718970ed914338bdf655055ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa4c42126a91778b54f4b0c7c5e81e45534ed7c232a6f5f4021cc7dd7ebab20",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-11-28T05:53:07Z",
    "title_canon_sha256": "393217dd6ee6308f84cfaaff8580a12f5c3688268e1bded7427ba657b96dae03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15078",
    "kind": "arxiv",
    "version": 1
  }
}