Pith Number

pith:NKE36C4M

pith:2025:NKE36C4MOZXHNOKBKHFSRHYX6W

not attested not anchored not stored refs pending

Second order reduced model via incremental projection for Navier Stokes

Carlos N\'u\~nez Fern\'andez, Chuanju Xu, Mejdi Aza\"iez, Samuele Rubino, Yayu Guo

arxiv:2512.10473 v1 · 2025-12-11 · 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{NKE36C4MOZXHNOKBKHFSRHYX6W}

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	2026-06-30T02:17:12.913639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a89bf0b8c766e76b94151cb289f17f58f8bab366445a98d5bad565cdf7e5078

Aliases

arxiv: 2512.10473 · arxiv_version: 2512.10473v1 · doi: 10.48550/arxiv.2512.10473 · pith_short_12: NKE36C4MOZXH · pith_short_16: NKE36C4MOZXHNOKB · pith_short_8: NKE36C4M

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/NKE36C4MOZXHNOKBKHFSRHYX6W \
  | 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: 6a89bf0b8c766e76b94151cb289f17f58f8bab366445a98d5bad565cdf7e5078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb3be3c4db088ce1094b4513e0711c511460df5e9ccb1b0e42e89335e1a341b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-12-11T09:51:49Z",
    "title_canon_sha256": "65f9ab9c32b8717946add415b45125209c1848cbeaaf2a1704e8a6bda1e30220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10473",
    "kind": "arxiv",
    "version": 1
  }
}