Pith Number

pith:FMZGJGJY

pith:2021:FMZGJGJYQBYTMVE2I4NELTUJ7Y

not attested not anchored not stored refs pending

A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes

Baskar Ganapathysubramanian, Hari Sundar, James A. Rossmanith, Kumar Saurabh, Makrand A. Khanwale, Masado Ishii

arxiv:2107.05123 v2 · 2021-07-11 · math.NA · cs.NA · physics.comp-ph · 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{FMZGJGJYQBYTMVE2I4NELTUJ7Y}

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	2026-07-05T05:33:05.801408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b32649938807136549a471a45ce89fe06999c63f174ef29e1aa96694b5d2dc4

Aliases

arxiv: 2107.05123 · arxiv_version: 2107.05123v2 · doi: 10.48550/arxiv.2107.05123 · pith_short_12: FMZGJGJYQBYT · pith_short_16: FMZGJGJYQBYTMVE2 · pith_short_8: FMZGJGJY

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/FMZGJGJYQBYTMVE2I4NELTUJ7Y \
  | 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: 2b32649938807136549a471a45ce89fe06999c63f174ef29e1aa96694b5d2dc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69da21df206fd1f19e59c9e80a2981d6182e4fbe6ef888a7c47d83855bdd6de",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-07-11T19:44:36Z",
    "title_canon_sha256": "28183ff24844e8c9ad92aee5ab71071ae74955e1c54a0d96c4c14ddb0c931717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05123",
    "kind": "arxiv",
    "version": 2
  }
}