Pith Number

pith:7RV3W5CD

pith:2016:7RV3W5CDY5LDL4SNHYAUBKOPHK

not attested not anchored not stored refs pending

Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions

Franck Sueur, Fr\'ed\'eric Marbach, Jean-Michel Coron

arxiv:1612.08087 v2 · 2016-12-23 · math.AP · 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{7RV3W5CDY5LDL4SNHYAUBKOPHK}

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	2026-05-18T00:49:31.584487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc6bbb7443c75635f24d3e0140a9cf3abd843898dfc32f658bbe069dcf928c6c

Aliases

arxiv: 1612.08087 · arxiv_version: 1612.08087v2 · doi: 10.48550/arxiv.1612.08087 · pith_short_12: 7RV3W5CDY5LD · pith_short_16: 7RV3W5CDY5LDL4SN · pith_short_8: 7RV3W5CD

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/7RV3W5CDY5LDL4SNHYAUBKOPHK \
  | 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: fc6bbb7443c75635f24d3e0140a9cf3abd843898dfc32f658bbe069dcf928c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06b0481efe3a9d5f6bf49be318c822ca4d2300ca172f1769042e1e99b91c642",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-23T20:45:39Z",
    "title_canon_sha256": "94a83a7c7c73a3ede2c45fea24d1d08d8bb1afa05b726dc46e4a99228674ae2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08087",
    "kind": "arxiv",
    "version": 2
  }
}