Pith Number

pith:3BWQZNMW

pith:2026:3BWQZNMWUKDYAKZPGX72CYM6YX

not attested not anchored not stored refs pending

An Energy-Stable Implicit Convex-Splitting BDF2 Scheme for the Cahn-Hilliard-Navier-Stokes Equations

Qi Wang, Xuelong Gu

arxiv:2606.04204 v1 · 2026-06-02 · 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{3BWQZNMWUKDYAKZPGX72CYM6YX}

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	2026-06-04T01:08:58.116791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86d0cb596a287802b2f35ffa1619ec5eafb6f97a79158793b17d7e66f98a826

Aliases

arxiv: 2606.04204 · arxiv_version: 2606.04204v1 · doi: 10.48550/arxiv.2606.04204 · pith_short_12: 3BWQZNMWUKDY · pith_short_16: 3BWQZNMWUKDYAKZP · pith_short_8: 3BWQZNMW

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/3BWQZNMWUKDYAKZPGX72CYM6YX \
  | 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: d86d0cb596a287802b2f35ffa1619ec5eafb6f97a79158793b17d7e66f98a826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b74ea86270eff4058b6e1b0be737597c5724e160c0613c78b1cba495fc727a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-02T20:49:14Z",
    "title_canon_sha256": "3c32846ef290a56fac112131d3d0bf33c1e1b9ed3de3c2bf9f8c6a915bdf7776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04204",
    "kind": "arxiv",
    "version": 1
  }
}