Pith Number

pith:62HQX7W3

pith:2018:62HQX7W3HLO2SA6S5GE7GCUHBV

not attested not anchored not stored refs pending

Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensions

Xiaoyutao Luo

arxiv:1807.09318 v6 · 2018-07-24 · 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{62HQX7W3HLO2SA6S5GE7GCUHBV}

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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.

Cited by

1 paper in Pith

Weak solutions of ideal MHD which do not conserve magnetic helicity

Receipt and verification

First computed	2026-05-17T23:50:13.038164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f68f0bfedb3adda903d2e989f30a870d610108471cbba27675da42f9599b4aec

Aliases

arxiv: 1807.09318 · arxiv_version: 1807.09318v6 · doi: 10.48550/arxiv.1807.09318 · pith_short_12: 62HQX7W3HLO2 · pith_short_16: 62HQX7W3HLO2SA6S · pith_short_8: 62HQX7W3

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/62HQX7W3HLO2SA6S5GE7GCUHBV \
  | 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: f68f0bfedb3adda903d2e989f30a870d610108471cbba27675da42f9599b4aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b2d8dbf1440320381a4510fe7227970a8af9d6b6f265ebad577e1981e8425d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-24T19:42:33Z",
    "title_canon_sha256": "f5b19923c36c4f844ec2e4f9bf8dfbf0a229c08b39de7993e8d43685a4dc2554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09318",
    "kind": "arxiv",
    "version": 6
  }
}