Pith Number

pith:LFN3Y4XA

pith:2019:LFN3Y4XAR72IP5OOOGK3F6U34L

not attested not anchored not stored refs pending

Existence of global weak solutions to the Navier-Stokes equations in weighted spaces

Igor Kukavica, Tai-Peng Tsai, Zachary Bradshaw

arxiv:1910.06929 v1 · 2019-10-15 · 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{LFN3Y4XAR72IP5OOOGK3F6U34L}

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	2026-07-05T00:31:24.330959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

595bbc72e08ff487f5ce7195b2fa9be2d093a4cecc30065ae595cf109cd13a2b

Aliases

arxiv: 1910.06929 · arxiv_version: 1910.06929v1 · doi: 10.48550/arxiv.1910.06929 · pith_short_12: LFN3Y4XAR72I · pith_short_16: LFN3Y4XAR72IP5OO · pith_short_8: LFN3Y4XA

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/LFN3Y4XAR72IP5OOOGK3F6U34L \
  | 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: 595bbc72e08ff487f5ce7195b2fa9be2d093a4cecc30065ae595cf109cd13a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8bf1e90342c23a4a62397475d819bd3e556e3260aaee1ea15b88c707310231e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-10-15T17:07:14Z",
    "title_canon_sha256": "554e7b984461909bf9215f4233105123518465f7635f26fcabcfb54788d66017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.06929",
    "kind": "arxiv",
    "version": 1
  }
}