Pith Number

pith:WH5VUYSZ

pith:2019:WH5VUYSZQD3HPVZX664DK5GDIN

not attested not anchored not stored refs pending

On Type I Blowups of Suitable Weak Solutions to Navier-Stokes Equations near Boundary

Gregory Seregin

arxiv:1901.08842 v1 · 2019-01-25 · 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{WH5VUYSZQD3HPVZX664DK5GDIN}

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	2026-05-17T23:55:32.936500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fb5a625980f677d737f7b83574c3436320bb360822215e1c713d4fc02ba53d

Aliases

arxiv: 1901.08842 · arxiv_version: 1901.08842v1 · doi: 10.48550/arxiv.1901.08842 · pith_short_12: WH5VUYSZQD3H · pith_short_16: WH5VUYSZQD3HPVZX · pith_short_8: WH5VUYSZ

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/WH5VUYSZQD3HPVZX664DK5GDIN \
  | 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: b1fb5a625980f677d737f7b83574c3436320bb360822215e1c713d4fc02ba53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6a941f3cdada7f7f660116fc56202cc8b6ff2302ffe71170d1311be40c75a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-25T11:45:42Z",
    "title_canon_sha256": "d22e8ec48bf48071df8348ff517f3b983ee27c626d2bddd7776fd54aed9e340c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08842",
    "kind": "arxiv",
    "version": 1
  }
}