Pith Number

pith:G4HGDSW4

pith:2026:G4HGDSW4H77E5SUUTCJE5EKONI

not attested not anchored not stored refs pending

Generalizable turbulence closures across bluff-body shapes by PINN-based solver-agnostic training

George Em Karniadakis, Louise Ronglan, Michael S. Triantafyllou, Theo K\"aufer, Zhen Zhang

arxiv:2607.04491 v1 · 2026-07-05 · 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{G4HGDSW4H77E5SUUTCJE5EKONI}

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	2026-07-07T02:19:21.909349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370e61cadc3ffe4eca9498924e914e6a080b07f2e3aa749bbc62c0f3a5c249a3

Aliases

arxiv: 2607.04491 · arxiv_version: 2607.04491v1 · doi: 10.48550/arxiv.2607.04491 · pith_short_12: G4HGDSW4H77E · pith_short_16: G4HGDSW4H77E5SUU · pith_short_8: G4HGDSW4

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/G4HGDSW4H77E5SUUTCJE5EKONI \
  | 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: 370e61cadc3ffe4eca9498924e914e6a080b07f2e3aa749bbc62c0f3a5c249a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4853324cf61dffdf8b03f5a70fc34286a466863137d1a7738ae0202895ce0ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-05T20:31:44Z",
    "title_canon_sha256": "7e99d5eabbfdf5da7f487e4adc7c3069dab0d3a7c8604aebab2445cd7800fea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04491",
    "kind": "arxiv",
    "version": 1
  }
}