Pith Number

pith:43OJNU2L

pith:2026:43OJNU2LAOSHWFXTW5OW57I4G4

not attested not anchored not stored refs pending

Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime

Bowen Gang, Hao Deng, Weinan Wang

arxiv:2606.08654 v1 · 2026-06-07 · cs.LG · cs.NA · math.AP · math.NA · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43OJNU2LAOSHWFXTW5OW57I4G4}

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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	2026-06-09T01:05:42.834368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6dc96d34b03a47b16f3b75d6efd1c371b03c1fc6aa8fa05faad95b10bc2f2d7

Aliases

arxiv: 2606.08654 · arxiv_version: 2606.08654v1 · doi: 10.48550/arxiv.2606.08654 · pith_short_12: 43OJNU2LAOSH · pith_short_16: 43OJNU2LAOSHWFXT · pith_short_8: 43OJNU2L

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/43OJNU2LAOSHWFXTW5OW57I4G4 \
  | 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: e6dc96d34b03a47b16f3b75d6efd1c371b03c1fc6aa8fa05faad95b10bc2f2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8f92c335f1ae6dc76fdf3acf3bb79b0b896a2b7f62e25695500c47a05732e0",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-07T14:49:37Z",
    "title_canon_sha256": "76df001d9580d1df0a522937eea1317c64326c11cfebcf480a1ff198df578e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08654",
    "kind": "arxiv",
    "version": 1
  }
}