Pith Number

pith:CJYOEWZ3

pith:2025:CJYOEWZ3NNU5J2I4XDIY55LVGG

not attested not anchored not stored refs pending

Strong solutions to the Keller-Segel-Navier-Stokes system in bounded Lipschitz domains

Hideo Kozono, Matthias Hieber, Patrick Tolksdorf, Sylvie Monniaux

arxiv:2505.04503 v1 · 2025-05-07 · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJYOEWZ3NNU5J2I4XDIY55LVGG}

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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.

Cited by

1 paper in Pith

The traveling wave solutions of the 1D hyperbolic Keller-Segel equations

Receipt and verification

First computed	2026-07-05T10:59:52.730572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1270e25b3b6b69d4e91cb8d18ef575319cf99c97195b6e9840318cb045207d41

Aliases

arxiv: 2505.04503 · arxiv_version: 2505.04503v1 · doi: 10.48550/arxiv.2505.04503 · pith_short_12: CJYOEWZ3NNU5 · pith_short_16: CJYOEWZ3NNU5J2I4 · pith_short_8: CJYOEWZ3

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/CJYOEWZ3NNU5J2I4XDIY55LVGG \
  | 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: 1270e25b3b6b69d4e91cb8d18ef575319cf99c97195b6e9840318cb045207d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f215d60341fd833342e1c2ae7445de410859fe517764e2590da4361cee65c3f1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-07T15:23:03Z",
    "title_canon_sha256": "195cbfd03a092ec69cb5b2f4e9f1412c5ed8c78863cdfec6432f75ed0a3643b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04503",
    "kind": "arxiv",
    "version": 1
  }
}