Pith Number

pith:YNL4W34J

pith:2001:YNL4W34JPNBTRDP63DKI6HX6UR

not attested not anchored not stored refs pending

A cheap Caffarelli-Kohn-Nirenberg inequality for Navier-Stokes equations with hyper-dissipation

Nata\v{s}a Pavlovi\'c, Nets Hawk Katz

arxiv:math/0104199 v1 · 2001-04-19 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNL4W34JPNBTRDP63DKI6HX6UR}

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	2026-05-18T01:09:07.851265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c357cb6f897b43388dfed8d48f1efea45d557c9020a155b358d6783d46f29444

Aliases

arxiv: math/0104199 · arxiv_version: math/0104199v1 · doi: 10.48550/arxiv.math/0104199 · pith_short_12: YNL4W34JPNBT · pith_short_16: YNL4W34JPNBTRDP6 · pith_short_8: YNL4W34J

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/YNL4W34JPNBTRDP63DKI6HX6UR \
  | 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: c357cb6f897b43388dfed8d48f1efea45d557c9020a155b358d6783d46f29444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "325a8ff81d10914896e718f0c1fcabfa2498229218f06c53184337fd4855a50e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2001-04-19T18:37:33Z",
    "title_canon_sha256": "ec94abab9c55b6258aed30b9b89e2b13bc7f554baac6f79ebf282fe132a35228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104199",
    "kind": "arxiv",
    "version": 1
  }
}