Pith Number

pith:MXPXZQGK

pith:2017:MXPXZQGKZGDKN3JEQTADOGL7F7

not attested not anchored not stored refs pending

Global existence and asymptotic behavior of classical solutions for a 3D two-species Keller--Segel-Stokes system with competitive kinetics

Masaaki Mizukami, Shunsuke Kurima, Xinru Cao

arxiv:1706.07910 v1 · 2017-06-24 · 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{MXPXZQGKZGDKN3JEQTADOGL7F7}

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	2026-05-18T00:41:47.161182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65df7cc0cac986a6ed2484c037197f2fc2a24975b57449121864a782b6d1d3c5

Aliases

arxiv: 1706.07910 · arxiv_version: 1706.07910v1 · doi: 10.48550/arxiv.1706.07910 · pith_short_12: MXPXZQGKZGDK · pith_short_16: MXPXZQGKZGDKN3JE · pith_short_8: MXPXZQGK

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/MXPXZQGKZGDKN3JEQTADOGL7F7 \
  | 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: 65df7cc0cac986a6ed2484c037197f2fc2a24975b57449121864a782b6d1d3c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f0d4d651a41141f95c2f603e064a49b1bf882ccdfe6598ea8b2ef1fe852d82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-24T05:51:52Z",
    "title_canon_sha256": "716fdddbe88de3010b0edc0f2efa1ddf82f0a3accda658fc56ae3001b439522f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07910",
    "kind": "arxiv",
    "version": 1
  }
}