Pith Number

pith:MI366CYO

pith:2016:MI366CYORHY6J2NHUSMGBLMJM4

not attested not anchored not stored refs pending

Existence of global weak solutions for the Navier-Stokes-Vlasov-Boltzmann equations

Cheng Yu, Lei Yao

arxiv:1609.06620 v2 · 2016-09-21 · 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{MI366CYORHY6J2NHUSMGBLMJM4}

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	2026-05-18T00:32:55.568548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6237ef0b0e89f1e4e9a7a49860ad8967095d93fef69b1ce4725ad2e8cfa47143

Aliases

arxiv: 1609.06620 · arxiv_version: 1609.06620v2 · doi: 10.48550/arxiv.1609.06620 · pith_short_12: MI366CYORHY6 · pith_short_16: MI366CYORHY6J2NH · pith_short_8: MI366CYO

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/MI366CYORHY6J2NHUSMGBLMJM4 \
  | 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: 6237ef0b0e89f1e4e9a7a49860ad8967095d93fef69b1ce4725ad2e8cfa47143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471ed54b6590cd64b0a6a84a4eeef795e3e4c8d96ef1bf3e649a9cebb2aa76a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-21T16:18:53Z",
    "title_canon_sha256": "6ae3d209ae10991ea4cbd6db2caf66585b672586d3493ae44718e954621299a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06620",
    "kind": "arxiv",
    "version": 2
  }
}