Pith Number

pith:5VRWGPXZ

pith:2024:5VRWGPXZNI3LOTTP3QUTAYBDEY

not attested not anchored not stored refs pending

On blow-up for the supercritical defocusing nonlinear wave equation

Dongyi Wei, Feng Shao, Zhifei Zhang

arxiv:2405.19674 v1 · 2024-05-30 · 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{5VRWGPXZNI3LOTTP3QUTAYBDEY}

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.

Cited by

1 paper in Pith

Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases

Receipt and verification

First computed	2026-07-05T10:42:35.323812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed63633ef96a36b74e6fdc29306023260719b637dbe018048fa96ceea0fa0c13

Aliases

arxiv: 2405.19674 · arxiv_version: 2405.19674v1 · doi: 10.48550/arxiv.2405.19674 · pith_short_12: 5VRWGPXZNI3L · pith_short_16: 5VRWGPXZNI3LOTTP · pith_short_8: 5VRWGPXZ

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/5VRWGPXZNI3LOTTP3QUTAYBDEY \
  | 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: ed63633ef96a36b74e6fdc29306023260719b637dbe018048fa96ceea0fa0c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30308330953502ca0e79c6daf1f0fa2fd6d122a5f3ac4eddd6b8a5bb6959a82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-05-30T04:00:35Z",
    "title_canon_sha256": "dad383be8424a1253b1871e71cc893999d30e4edf8425b5a687f6d93e0f045bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.19674",
    "kind": "arxiv",
    "version": 1
  }
}