Pith Number

pith:KLEVZQ6M

pith:2005:KLEVZQ6MB5PY3QEF6VUO25OJHS

not attested not anchored not stored refs pending

Nonlinear instability for the Navier-Stokes equations

Nata\v{s}a Pavlovi\'c, Roman Shvydkoy, Susan Friedlander

arxiv:math/0508173 v1 · 2005-08-09 · 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{KLEVZQ6MB5PY3QEF6VUO25OJHS}

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	2026-05-18T01:08:50.949469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c95cc3cc0f5f8dc085f568ed75c93c8d8b835b580cc1300d76502d39dd5278

Aliases

arxiv: math/0508173 · arxiv_version: math/0508173v1 · doi: 10.48550/arxiv.math/0508173 · pith_short_12: KLEVZQ6MB5PY · pith_short_16: KLEVZQ6MB5PY3QEF · pith_short_8: KLEVZQ6M

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/KLEVZQ6MB5PY3QEF6VUO25OJHS \
  | 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: 52c95cc3cc0f5f8dc085f568ed75c93c8d8b835b580cc1300d76502d39dd5278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e3b2dd71a6183ceeadd7c7edca779c66315df982480240a789829247d792241",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-08-09T23:07:33Z",
    "title_canon_sha256": "289d767212170d23bdc7170c1c431cf8afdf341cd19097351a62e042b51fa24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508173",
    "kind": "arxiv",
    "version": 1
  }
}