Pith Number

pith:N45N5UNP

pith:2024:N45N5UNPXGWTHYPXLMV7LMOAIX

not attested not anchored not stored refs pending

Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier--Stokes system

Tobias Black

arxiv:2411.18336 v1 · 2024-11-27 · 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{N45N5UNPXGWTHYPXLMV7LMOAIX}

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	2026-07-05T11:22:34.199814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3aded1afb9ad33e1f75b2bf5b1c045dacdbc3829179255d5716f870113ec4b

Aliases

arxiv: 2411.18336 · arxiv_version: 2411.18336v1 · doi: 10.48550/arxiv.2411.18336 · pith_short_12: N45N5UNPXGWT · pith_short_16: N45N5UNPXGWTHYPX · pith_short_8: N45N5UNP

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/N45N5UNPXGWTHYPXLMV7LMOAIX \
  | 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: 6f3aded1afb9ad33e1f75b2bf5b1c045dacdbc3829179255d5716f870113ec4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b67ead4d728f80a265b28df1de53ceb89910bb12c3a916f584922313575619",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-27T13:35:02Z",
    "title_canon_sha256": "41a12d886b6a0209ee0c7aa696f7d2bee0ea4d47c65791656e9b2848a32fae83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18336",
    "kind": "arxiv",
    "version": 1
  }
}