Pith Number

pith:RNIRK6MC

pith:2017:RNIRK6MCDJMAF6OYZSHOGSPFLW

not attested not anchored not stored refs pending

Boundedness and stabilization in a three-dimensional two-species chemotaxis-Navier--Stokes system with competitive kinetics

Masaaki Mizukami, Misaki Hirata, Shunsuke Kurima, Tomomi Yokota

arxiv:1710.00957 v1 · 2017-10-03 · 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{RNIRK6MCDJMAF6OYZSHOGSPFLW}

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	2026-05-18T00:33:47.372043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b511579821a5802f9d8cc8ee349e55da54d9aec1f211bed36c9fd3a6e41f3e9

Aliases

arxiv: 1710.00957 · arxiv_version: 1710.00957v1 · doi: 10.48550/arxiv.1710.00957 · pith_short_12: RNIRK6MCDJMA · pith_short_16: RNIRK6MCDJMAF6OY · pith_short_8: RNIRK6MC

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/RNIRK6MCDJMAF6OYZSHOGSPFLW \
  | 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: 8b511579821a5802f9d8cc8ee349e55da54d9aec1f211bed36c9fd3a6e41f3e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e000e745615c46b5faeb2297be918c2d755669ee357cf9eba6242c995d2c49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-03T02:03:57Z",
    "title_canon_sha256": "feb59bc9011a4c9f9823103af8e04c0e658f5d812468f911ec94522f6bff5626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00957",
    "kind": "arxiv",
    "version": 1
  }
}