Pith Number

pith:RXHCO7JE

pith:2017:RXHCO7JEUCT2RXIJU2VXOIMYTR

not attested not anchored not stored refs pending

Global existence to a $3D$ chemotaxis-Navier-stokes system with nonlinear diffusion and rotation

Dongfang Zhang, Jiashan Zheng, Weifang Yan, Xinhua Zou, Yanyan Li

arxiv:1706.02022 v1 · 2017-06-07 · 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{RXHCO7JEUCT2RXIJU2VXOIMYTR}

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	2026-05-18T00:42:50.470469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dce277d24a0a7a8dd09a6ab7721989c76bb306e2c91f3182bcccb6041698bf2

Aliases

arxiv: 1706.02022 · arxiv_version: 1706.02022v1 · doi: 10.48550/arxiv.1706.02022 · pith_short_12: RXHCO7JEUCT2 · pith_short_16: RXHCO7JEUCT2RXIJ · pith_short_8: RXHCO7JE

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/RXHCO7JEUCT2RXIJU2VXOIMYTR \
  | 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: 8dce277d24a0a7a8dd09a6ab7721989c76bb306e2c91f3182bcccb6041698bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9111199fe0dd4ec2907d8d97afb8cfe13ec6d0f076b0dcafd23c6f896f10b8e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-07T01:58:31Z",
    "title_canon_sha256": "17f63e5ee17ed94880018c97fb37b26829e0d5a012d566354bcaf65718c08eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02022",
    "kind": "arxiv",
    "version": 1
  }
}