Pith Number

pith:RA3B7HCZ

pith:2015:RA3B7HCZZORAIJX74TPMHKWUMO

not attested not anchored not stored refs pending

Global classical solution to 3D isentropic compressible Navier-Stokes equations with large initial data and vacuum

Changjiang Zhu, Hongyun Peng, Xiaofeng Hou

arxiv:1503.02910 v3 · 2015-03-10 · 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{RA3B7HCZZORAIJX74TPMHKWUMO}

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	2026-05-18T01:37:18.998604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88361f9c59cba20426ffe4dec3aad463a58f32d6fa416782e3591fe3e2b770ab

Aliases

arxiv: 1503.02910 · arxiv_version: 1503.02910v3 · doi: 10.48550/arxiv.1503.02910 · pith_short_12: RA3B7HCZZORA · pith_short_16: RA3B7HCZZORAIJX7 · pith_short_8: RA3B7HCZ

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/RA3B7HCZZORAIJX74TPMHKWUMO \
  | 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: 88361f9c59cba20426ffe4dec3aad463a58f32d6fa416782e3591fe3e2b770ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "839fa21a7f4f85ff2dbe7aa5d8e973c5ab162635cceb0ce4c9bb863202d935d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-10T14:02:12Z",
    "title_canon_sha256": "a0a1b8428c0546674ea50e1ecb8040cab8f26143c2b1d9c7f4e5ab76900db69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02910",
    "kind": "arxiv",
    "version": 3
  }
}