Pith Number

pith:JKCGPZHB

pith:2026:JKCGPZHBVJR6K3OA7ICTRIEEGT

not attested not anchored not stored refs pending

An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations

Aytekin \c{C}ibik

arxiv:2608.04191 v1 · 2026-08-04 · physics.flu-dyn · cs.NA · math.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{JKCGPZHBVJR6K3OA7ICTRIEEGT}

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	2026-08-06T01:31:13.365148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a8467e4e1aa63e56dc0fa0538a08434c0e415ecd3d3b612b796336ce6fa3d27

Aliases

arxiv: 2608.04191 · arxiv_version: 2608.04191v1 · doi: 10.48550/arxiv.2608.04191 · pith_short_12: JKCGPZHBVJR6 · pith_short_16: JKCGPZHBVJR6K3OA · pith_short_8: JKCGPZHB

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/JKCGPZHBVJR6K3OA7ICTRIEEGT \
  | 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: 4a8467e4e1aa63e56dc0fa0538a08434c0e415ecd3d3b612b796336ce6fa3d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06fa3743630a2cf92afa59d892350eab9ce36626595fb5b4b60f928904b4c743",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-08-04T19:49:53Z",
    "title_canon_sha256": "43c10c1b2120a31876dee1ff6d4ed98f14f6026a6d13334d2b6b50cb741fcde3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04191",
    "kind": "arxiv",
    "version": 1
  }
}