Pith Number

pith:ZUQ3PK3B

pith:2024:ZUQ3PK3BEAHPJXSYOMJU22VYB6

not attested not anchored not stored refs pending

A Preconditioned Discontinuous Galerkin Method for Biharmonic Equation with $C^0$-Reconstructed Approximation

Fanyi Yang, Qicheng Liu, Ruo Li

arxiv:2407.03793 v1 · 2024-07-04 · 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{ZUQ3PK3BEAHPJXSYOMJU22VYB6}

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	2026-07-05T08:40:24.136201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd21b7ab61200ef4de5873134d6ab80fa1d4be4864024007975e07f4680fc197

Aliases

arxiv: 2407.03793 · arxiv_version: 2407.03793v1 · doi: 10.48550/arxiv.2407.03793 · pith_short_12: ZUQ3PK3BEAHP · pith_short_16: ZUQ3PK3BEAHPJXSY · pith_short_8: ZUQ3PK3B

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/ZUQ3PK3BEAHPJXSYOMJU22VYB6 \
  | 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: cd21b7ab61200ef4de5873134d6ab80fa1d4be4864024007975e07f4680fc197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a90519ac0aec68ef97eea4be7c5b89a22105fa1c677c0fe1ffec3bf496c04834",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-07-04T09:56:19Z",
    "title_canon_sha256": "ba1b02995289508cb9e95cafdcb3ee0e44836ead52e424ac407657068af5eb8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.03793",
    "kind": "arxiv",
    "version": 1
  }
}