Pith Number

pith:K5P4OBAV

pith:2018:K5P4OBAVDO2ZTCF37MPIIX2VBA

not attested not anchored not stored refs pending

Global weak solutions to a 3-dimensional degenerate and singular chemotaxis-Navier--Stokes system with logistic source

Masaaki Mizukami, Shunsuke Kurima

arxiv:1802.08807 v1 · 2018-02-24 · 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{K5P4OBAVDO2ZTCF37MPIIX2VBA}

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	2026-05-18T00:22:36.372278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575fc704151bb59988bbfb1e845f55080d59e525405dec54fbf0cfce3588548b

Aliases

arxiv: 1802.08807 · arxiv_version: 1802.08807v1 · doi: 10.48550/arxiv.1802.08807 · pith_short_12: K5P4OBAVDO2Z · pith_short_16: K5P4OBAVDO2ZTCF3 · pith_short_8: K5P4OBAV

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/K5P4OBAVDO2ZTCF37MPIIX2VBA \
  | 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: 575fc704151bb59988bbfb1e845f55080d59e525405dec54fbf0cfce3588548b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0301d3322bd6c985a99aefc6c9720f63ab26a81334b2b7391b8210bbe2aa9acc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-24T06:12:15Z",
    "title_canon_sha256": "c041c5e1c6ed63af5626c03e13f06ab5c22ab009ca9b79e59f097d4382c129fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08807",
    "kind": "arxiv",
    "version": 1
  }
}