Pith Number

pith:RLX4WA7F

pith:2026:RLX4WA7FG3TDRSL4SBAIL4BKYN

not attested not anchored not stored refs pending

Exponential stability for the three-dimensional Navier-Stokes equations on negatively curved manifolds

Samuel L. Braunstein, Zhi-Wei Wang

arxiv:2606.04407 v1 · 2026-06-03 · math.AP · gr-qc · math-ph · math.DG · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLX4WA7FG3TDRSL4SBAIL4BKYN}

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	2026-06-04T01:09:06.893703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aefcb03e536e638c97c904085f02ac34a5269f69fbd811eae354462f68b1b35

Aliases

arxiv: 2606.04407 · arxiv_version: 2606.04407v1 · doi: 10.48550/arxiv.2606.04407 · pith_short_12: RLX4WA7FG3TD · pith_short_16: RLX4WA7FG3TDRSL4 · pith_short_8: RLX4WA7F

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/RLX4WA7FG3TDRSL4SBAIL4BKYN \
  | 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: 8aefcb03e536e638c97c904085f02ac34a5269f69fbd811eae354462f68b1b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc5a8ab69bc5f04e20ecf1163a37283a94e54d19204997f3f1f1febbf9842c07",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-03T03:35:34Z",
    "title_canon_sha256": "43f6afb140be8211510cd1eb5e93530f7a48de744d52974eca9fea561e5e76c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04407",
    "kind": "arxiv",
    "version": 1
  }
}