Pith Number

pith:WFFYZYPD

pith:2025:WFFYZYPDDOASLJDM7M7YN2B5PT

not attested not anchored not stored refs pending

A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications

Farrukh A. Chishtie

arxiv:2505.22853 v3 · 2025-05-28 · physics.flu-dyn · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFFYZYPDDOASLJDM7M7YN2B5PT}

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	2026-07-05T11:17:46.238817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14b8ce1e31b8125a46cfb3f86e83d7cc8d57b712ba767100f213651b01d834b

Aliases

arxiv: 2505.22853 · arxiv_version: 2505.22853v3 · doi: 10.48550/arxiv.2505.22853 · pith_short_12: WFFYZYPDDOAS · pith_short_16: WFFYZYPDDOASLJDM · pith_short_8: WFFYZYPD

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/WFFYZYPDDOASLJDM7M7YN2B5PT \
  | 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: b14b8ce1e31b8125a46cfb3f86e83d7cc8d57b712ba767100f213651b01d834b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e34fa6afdf81ef44777626abfa7341b90887dc49e26db4a8abd2c1e9229a246",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-05-28T20:37:33Z",
    "title_canon_sha256": "5d94f5eafea7df3b1f0e4c17d587b07681d7de0b3e851d277a5783f50d1f5250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22853",
    "kind": "arxiv",
    "version": 3
  }
}