Pith Number

pith:NORFY5XI

pith:2019:NORFY5XIV2Y4CABXGUFTQ5KSWJ

not attested not anchored not stored refs pending

Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux

Jiashan Zheng, Yuanyuan Ke

arxiv:1903.07536 v1 · 2019-03-15 · 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{NORFY5XIV2Y4CABXGUFTQ5KSWJ}

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	2026-05-17T23:51:01.095547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ba25c76e8aeb1c10037350b387552b26cbf400c4cd75aa80fd9bbba415ef2a6

Aliases

arxiv: 1903.07536 · arxiv_version: 1903.07536v1 · doi: 10.48550/arxiv.1903.07536 · pith_short_12: NORFY5XIV2Y4 · pith_short_16: NORFY5XIV2Y4CABX · pith_short_8: NORFY5XI

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/NORFY5XIV2Y4CABXGUFTQ5KSWJ \
  | 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: 6ba25c76e8aeb1c10037350b387552b26cbf400c4cd75aa80fd9bbba415ef2a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2943e50567307d279dd002ea492ef449bb1fa21faaf65254184cc658dd19eea5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-15T10:25:13Z",
    "title_canon_sha256": "5e587b5780844f801bdcb2aa22c0958154bd745cda4f1cbd99b981165f2352f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07536",
    "kind": "arxiv",
    "version": 1
  }
}