Pith Number

pith:5NFTHR46

pith:2019:5NFTHR46SJCUHIE22BWAHNUH6T

not attested not anchored not stored refs pending

On a Singular Perturbation of the Navier-Stokes Equations

Alexander Shlapunov, Nikolai Tarkhanov

arxiv:1906.09572 v1 · 2019-06-23 · 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{5NFTHR46SJCUHIE22BWAHNUH6T}

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	2026-05-17T23:42:37.496896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4b33c79e924543a09ad06c03b687f4e04eaf65e9b0644145000e916cbc3a2b

Aliases

arxiv: 1906.09572 · arxiv_version: 1906.09572v1 · doi: 10.48550/arxiv.1906.09572 · pith_short_12: 5NFTHR46SJCU · pith_short_16: 5NFTHR46SJCUHIE2 · pith_short_8: 5NFTHR46

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/5NFTHR46SJCUHIE22BWAHNUH6T \
  | 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: eb4b33c79e924543a09ad06c03b687f4e04eaf65e9b0644145000e916cbc3a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76bf36b741d5bd21bc46d4a9eba30d143eaf690abe93ebc34cb930fcc85ab2cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-23T09:56:02Z",
    "title_canon_sha256": "5b7cfde9fe1ccd6f036678346d51cd8139e5aaab511f8000ed55d5a2e456537b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09572",
    "kind": "arxiv",
    "version": 1
  }
}