Pith Number

pith:NB7PLGBS

pith:2015:NB7PLGBSEQXB2PX4AU273X3EPE

not attested not anchored not stored refs pending

Global Existence and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of 2D Density-Dependent Navier-Stokes Equations with Vacuum

Boqiang Lv, Xiaoding Shi, Xin Zhong

arxiv:1506.03143 v1 · 2015-06-10 · 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{NB7PLGBSEQXB2PX4AU273X3EPE}

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	2026-05-18T00:17:24.637474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687ef59832242e1d3efc0535fddf64790bebd562e7a1de72443c353c4c760c69

Aliases

arxiv: 1506.03143 · arxiv_version: 1506.03143v1 · doi: 10.48550/arxiv.1506.03143 · pith_short_12: NB7PLGBSEQXB · pith_short_16: NB7PLGBSEQXB2PX4 · pith_short_8: NB7PLGBS

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/NB7PLGBSEQXB2PX4AU273X3EPE \
  | 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: 687ef59832242e1d3efc0535fddf64790bebd562e7a1de72443c353c4c760c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b95e552e9c02ca3819616527fe6fd0b848ce0e44e571b7b269115165ece682",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-10T01:47:50Z",
    "title_canon_sha256": "c11712037f6ab034274c96e6f57ec5eabb11a01844d747bc973a6646f3ca6f27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03143",
    "kind": "arxiv",
    "version": 1
  }
}