Pith Number

pith:XHJMMYN3

pith:2010:XHJMMYN3KASVNBWDIAGZ7H2LMW

not attested not anchored not stored refs pending

Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane

Pawe{\l} Konieczny, Piotr Bogus{\l}aw Mucha

arxiv:1007.0957 v1 · 2010-07-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHJMMYN3KASVNBWDIAGZ7H2LMW}

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	2026-05-18T01:09:23.819801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d2c661bb50255686c3400d9f9f4b658e73d3bf5a67c3eb9b6edc3723b63625

Aliases

arxiv: 1007.0957 · arxiv_version: 1007.0957v1 · doi: 10.48550/arxiv.1007.0957 · pith_short_12: XHJMMYN3KASV · pith_short_16: XHJMMYN3KASVNBWD · pith_short_8: XHJMMYN3

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/XHJMMYN3KASVNBWDIAGZ7H2LMW \
  | 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: b9d2c661bb50255686c3400d9f9f4b658e73d3bf5a67c3eb9b6edc3723b63625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1f0191a9c559658469639483bc27dff4fd1518c9376c50fb6519afc225955f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-06T17:09:20Z",
    "title_canon_sha256": "657b79b7f1591a64ac4db16300990a3d6d2f9389f34c5ca76ce9873aa98657a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0957",
    "kind": "arxiv",
    "version": 1
  }
}