Pith Number

pith:3ZUFKTDU

pith:2020:3ZUFKTDUY2TC2ATSIGSNWFIA2J

not attested not anchored not stored refs pending

A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes

Baskar Ganapathysubramanian, Hari Sundar, James A. Rossmanith, Kumar Saurabh, Makrand A Khanwale, Milinda Fernando, Victor M. Calo

arxiv:2009.06628 v4 · 2020-09-13 · math.NA · cs.NA · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZUFKTDUY2TC2ATSIGSNWFIA2J}

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	2026-07-05T04:49:41.389330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de68554c74c6a62d027241a4db1500d2666e1d7b435b272048585a03e7139598

Aliases

arxiv: 2009.06628 · arxiv_version: 2009.06628v4 · doi: 10.48550/arxiv.2009.06628 · pith_short_12: 3ZUFKTDUY2TC · pith_short_16: 3ZUFKTDUY2TC2ATS · pith_short_8: 3ZUFKTDU

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/3ZUFKTDUY2TC2ATSIGSNWFIA2J \
  | 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: de68554c74c6a62d027241a4db1500d2666e1d7b435b272048585a03e7139598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35bc59632b357dd01761b958346e1b374705faf96a38c559f541a0bfa4a92a63",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-09-13T19:17:00Z",
    "title_canon_sha256": "77c637099d9d2ddc293b03142d963efa1e1b8a7b050d5249a59182bcaf131769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.06628",
    "kind": "arxiv",
    "version": 4
  }
}