Pith Number

pith:R5RYKF5G

pith:2026:R5RYKF5G5ZV2JGZ3E2DHGATASP

not attested not anchored not stored refs pending

Uniform large deviations and long-time dynamics for the 2D anisotropic Navier-Stokes equations on the torus

Chengfeng Sun, Hao Yu, Hui Liu

arxiv:2606.27645 v1 · 2026-06-26 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5RYKF5G5ZV2JGZ3E2DHGATASP}

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	2026-06-29T00:14:13.072462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f638517a6ee6ba49b3b268673026093faa7e08f2983b7398e0ca0d1513eb695

Aliases

arxiv: 2606.27645 · arxiv_version: 2606.27645v1 · doi: 10.48550/arxiv.2606.27645 · pith_short_12: R5RYKF5G5ZV2 · pith_short_16: R5RYKF5G5ZV2JGZ3 · pith_short_8: R5RYKF5G

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/R5RYKF5G5ZV2JGZ3E2DHGATASP \
  | 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: 8f638517a6ee6ba49b3b268673026093faa7e08f2983b7398e0ca0d1513eb695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07654e406704b1f2c351e9552338214b1f225813878c6c09fa8c75c2203fb8de",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-26T01:51:11Z",
    "title_canon_sha256": "fd6d16697aad6105f56783533efee95d60d254f43689856d4a57bdea11d9bc89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27645",
    "kind": "arxiv",
    "version": 1
  }
}