Pith Number

pith:ISQJMTYM

pith:2025:ISQJMTYM7GVHLBGU3QTPXSAVVE

not attested not anchored not stored refs pending

Fourth- and higher-order finite element methods for the incompressible Navier-Stokes equations with Dirichlet boundary conditions

Heyu Wang, Qinghai Zhang, Yang Li

arxiv:2506.06863 v1 · 2025-06-07 · math.NA · cs.NA · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISQJMTYM7GVHLBGU3QTPXSAVVE}

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	2026-07-05T11:17:57.044729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44a0964f0cf9aa7584d4dc26fbc815a90a35252fa54042e53105449a24eae5c2

Aliases

arxiv: 2506.06863 · arxiv_version: 2506.06863v1 · doi: 10.48550/arxiv.2506.06863 · pith_short_12: ISQJMTYM7GVH · pith_short_16: ISQJMTYM7GVHLBGU · pith_short_8: ISQJMTYM

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/ISQJMTYM7GVHLBGU3QTPXSAVVE \
  | 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: 44a0964f0cf9aa7584d4dc26fbc815a90a35252fa54042e53105449a24eae5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110d2338d896dfa90a70d4702377ed3d05a7cc98ad2be7fbf3be4ec8ffa231ce",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-07T17:04:45Z",
    "title_canon_sha256": "58a504b2307929a66356d301405078ac89516bf0aad3887ae796f26bfcd1eb83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06863",
    "kind": "arxiv",
    "version": 1
  }
}