Pith Number

pith:PQBJIPJL

pith:2012:PQBJIPJL3BUPZC22VDRPXRU2R2

not attested not anchored not stored refs pending

Local null controllability of the N-dimensional Navier-Stokes system with N-1 scalar controls in an arbitrary control domain

Nicol\'as Carre\~no, Sergio Guerrero

arxiv:1201.1197 v1 · 2012-01-05 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQBJIPJL3BUPZC22VDRPXRU2R2}

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	2026-05-18T01:58:55.485980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c02943d2bd868fc8b5aa8e2fbc69a8eb0ab72858df7d5315908c31b61360f81

Aliases

arxiv: 1201.1197 · arxiv_version: 1201.1197v1 · doi: 10.48550/arxiv.1201.1197 · pith_short_12: PQBJIPJL3BUP · pith_short_16: PQBJIPJL3BUPZC22 · pith_short_8: PQBJIPJL

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/PQBJIPJL3BUPZC22VDRPXRU2R2 \
  | 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: 7c02943d2bd868fc8b5aa8e2fbc69a8eb0ab72858df7d5315908c31b61360f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb820108963f7413ea598109b31ccf8728a6742a6bbe7c523ba7ac7d528d3101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-01-05T15:40:44Z",
    "title_canon_sha256": "fbd675abc3385342ef496875df635cd640cbbc5312f3dab1b1b1afcea3ba22c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1197",
    "kind": "arxiv",
    "version": 1
  }
}