Pith Number

pith:7SIE3GSN

pith:2015:7SIE3GSNWJGIW646VU3DDHEFPW

not attested not anchored not stored refs pending

Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations

Juan Vicente Guti\'errez-Santacreu

arxiv:1508.04161 v7 · 2015-08-17 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SIE3GSNWJGIW646VU3DDHEFPW}

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	2026-05-18T00:39:48.155869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc904d9a4db24c8b7b9ead36319c857dbf9c10d79544f8d6a4682594fbe008eb

Aliases

arxiv: 1508.04161 · arxiv_version: 1508.04161v7 · doi: 10.48550/arxiv.1508.04161 · pith_short_12: 7SIE3GSNWJGI · pith_short_16: 7SIE3GSNWJGIW646 · pith_short_8: 7SIE3GSN

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/7SIE3GSNWJGIW646VU3DDHEFPW \
  | 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: fc904d9a4db24c8b7b9ead36319c857dbf9c10d79544f8d6a4682594fbe008eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e93de8752c35a3f65e422da08c1282cba8c2015d66fa887859bf45bbb8760342",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-17T21:33:45Z",
    "title_canon_sha256": "bfece2ce785ee23a146749f106d4a2e99805285072a4be77345e18143137e898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04161",
    "kind": "arxiv",
    "version": 7
  }
}