Pith Number

pith:LMFLRHNI

pith:2019:LMFLRHNI3H5LER6M5UX3VZLGQM

not attested not anchored not stored refs pending

Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball

Dongfen Bian, Jinkai Li

arxiv:1907.13403 v1 · 2019-07-31 · 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{LMFLRHNI3H5LER6M5UX3VZLGQM}

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	2026-07-04T23:50:49.498028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0ab89da8d9fab247cced2fbae56683274bf92f07d9dfc4e868f61d416e56d3

Aliases

arxiv: 1907.13403 · arxiv_version: 1907.13403v1 · doi: 10.48550/arxiv.1907.13403 · pith_short_12: LMFLRHNI3H5L · pith_short_16: LMFLRHNI3H5LER6M · pith_short_8: LMFLRHNI

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/LMFLRHNI3H5LER6M5UX3VZLGQM \
  | 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: 5b0ab89da8d9fab247cced2fbae56683274bf92f07d9dfc4e868f61d416e56d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51fb0357af24a4d6e8b467cd1106c3cb3ce2b23dffc237d4d5c00cddee908b55",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-31T10:14:23Z",
    "title_canon_sha256": "7a0d31642583bb603c667bd52e6acadbcdacc4b12f9fe3e38c123302deadf27e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.13403",
    "kind": "arxiv",
    "version": 1
  }
}