Pith Number

pith:MFQILFJY

pith:2026:MFQILFJYBATGC36JAGZTETIUN7

not attested not anchored not stored refs pending

Coalesced Matrix-Free Geometric Multigrid on Persistent Cell-Wise Storage

Micha{\l} Wichrowski

arxiv:2607.03413 v1 · 2026-07-03 · 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{MFQILFJYBATGC36JAGZTETIUN7}

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	2026-07-07T02:17:42.047214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61608595380826616fc901b3324d146fd1f7b5bb36a87415530826c40ec6477c

Aliases

arxiv: 2607.03413 · arxiv_version: 2607.03413v1 · doi: 10.48550/arxiv.2607.03413 · pith_short_12: MFQILFJYBATG · pith_short_16: MFQILFJYBATGC36J · pith_short_8: MFQILFJY

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/MFQILFJYBATGC36JAGZTETIUN7 \
  | 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: 61608595380826616fc901b3324d146fd1f7b5bb36a87415530826c40ec6477c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e776485f760681f1963746c4995cb33dcd381cb3096096e5e390d5165508ebb6",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-03T15:22:31Z",
    "title_canon_sha256": "7ba763d7003732a336c247815772fa392a98f17bed09bc4d9a58ba00d88f249f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03413",
    "kind": "arxiv",
    "version": 1
  }
}