Pith Number

pith:M2WP3KTV

pith:2018:M2WP3KTV4L2VMOLNAQ6V3OARTA

not attested not anchored not stored refs pending

How strongly does diffusion or logistic-type degradation affect existence of global weak solutions in a chemotaxis-Navier--Stokes system?

Masaaki Mizukami

arxiv:1810.01098 v2 · 2018-10-02 · 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{M2WP3KTV4L2VMOLNAQ6V3OARTA}

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	2026-05-17T23:50:12.223990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66acfdaa75e2f556396d043d5db811982586ee1cb6f8c1aa089c60038f488477

Aliases

arxiv: 1810.01098 · arxiv_version: 1810.01098v2 · doi: 10.48550/arxiv.1810.01098 · pith_short_12: M2WP3KTV4L2V · pith_short_16: M2WP3KTV4L2VMOLN · pith_short_8: M2WP3KTV

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/M2WP3KTV4L2VMOLNAQ6V3OARTA \
  | 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: 66acfdaa75e2f556396d043d5db811982586ee1cb6f8c1aa089c60038f488477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8d513a38b6234ffa09e6e4704317d87909c449933a6a0e728e0df068efc16d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-02T07:27:52Z",
    "title_canon_sha256": "53c802a26de4b1c0a5b388e4741f1d4ffc1c7bab4b810106454a81284b9a5ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01098",
    "kind": "arxiv",
    "version": 2
  }
}