Pith Number

pith:ZZQW2AMH

pith:2024:ZZQW2AMHW2GDAMW3CUN3UYEXTJ

not attested not anchored not stored refs pending

Tensor-product vertex patch smoothers for biharmonic problems

Cu Cui, Francesca Bonizzoni, Guido Kanschat, Julius Witte

arxiv:2412.05082 v2 · 2024-12-06 · 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{ZZQW2AMHW2GDAMW3CUN3UYEXTJ}

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	2026-07-05T11:24:09.823915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce616d0187b68c3032db151bba60979a7f76339bbddcd09c24653c93cc5b3a6b

Aliases

arxiv: 2412.05082 · arxiv_version: 2412.05082v2 · doi: 10.48550/arxiv.2412.05082 · pith_short_12: ZZQW2AMHW2GD · pith_short_16: ZZQW2AMHW2GDAMW3 · pith_short_8: ZZQW2AMH

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/ZZQW2AMHW2GDAMW3CUN3UYEXTJ \
  | 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: ce616d0187b68c3032db151bba60979a7f76339bbddcd09c24653c93cc5b3a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04344df6792c6fa132b4479fcbe1d2772d47ff74e4541c184552ee5e5c2d23b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-12-06T14:40:24Z",
    "title_canon_sha256": "d4f26d9c1f99381420df81c5644f928f14741d864ed06b43a6c710a4e110bdc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05082",
    "kind": "arxiv",
    "version": 2
  }
}