Pith Number

pith:6XHN2LRL

pith:2018:6XHN2LRLKSMXNODQKSY224LSPE

not attested not anchored not stored refs pending

Null Controllability of the Incompressible Stokes Equations in a 2-D Channel Using Normal Boundary Control

Debanjana Mitra, Michael Renardy, Shirshendu Chowdhury

arxiv:1804.09935 v1 · 2018-04-26 · 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{6XHN2LRLKSMXNODQKSY224LSPE}

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	2026-05-18T00:17:25.715851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5cedd2e2b549976b87054b1ad7172792deb5e1c9cff5d033d7805ab2e1b194d

Aliases

arxiv: 1804.09935 · arxiv_version: 1804.09935v1 · doi: 10.48550/arxiv.1804.09935 · pith_short_12: 6XHN2LRLKSMX · pith_short_16: 6XHN2LRLKSMXNODQ · pith_short_8: 6XHN2LRL

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/6XHN2LRLKSMXNODQKSY224LSPE \
  | 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: f5cedd2e2b549976b87054b1ad7172792deb5e1c9cff5d033d7805ab2e1b194d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb943896ec63036ae85b3709ca89cea73f712362f88e83d75b31512828391269",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-26T08:29:26Z",
    "title_canon_sha256": "2b280bb93261a976c7ca9dfdd8cd23add86f6f0e570e9ef7c6bb112a7deee012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09935",
    "kind": "arxiv",
    "version": 1
  }
}