Pith Number

pith:C37FSB7Z

pith:2021:C37FSB7ZFKCIEIY4K7STZ7I7AH

not attested not anchored not stored refs pending

On the existence of helical invariant solutions to steady Navier-Stokes equations

Mikhail Korobkov, Shangkun Weng, Wenqi Lyu

arxiv:2102.13341 v2 · 2021-02-26 · math.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{C37FSB7ZFKCIEIY4K7STZ7I7AH}

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	2026-07-05T04:08:38.755307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16fe5907f92a8482231c57e53cfd1f01e021b931fe43b14e51ce803e9be4af65

Aliases

arxiv: 2102.13341 · arxiv_version: 2102.13341v2 · doi: 10.48550/arxiv.2102.13341 · pith_short_12: C37FSB7ZFKCI · pith_short_16: C37FSB7ZFKCIEIY4 · pith_short_8: C37FSB7Z

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/C37FSB7ZFKCIEIY4K7STZ7I7AH \
  | 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: 16fe5907f92a8482231c57e53cfd1f01e021b931fe43b14e51ce803e9be4af65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ed2239898a57734ba78472debd4295ae06b841c9430eccc44336e0de7c2b4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-02-26T07:41:04Z",
    "title_canon_sha256": "4901a35348482bb4c76171d9ccc2d40e8e779a24a1f6d37eca4f005cb0ced1c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.13341",
    "kind": "arxiv",
    "version": 2
  }
}