Pith Number

pith:DFVMWNS3

pith:2018:DFVMWNS3QKZ2OUR6Y6HKF7SVZN

not attested not anchored not stored refs pending

Null controllability of parabolic equations with interior degeneracy and one-sided control

Patrick Martinez, Piermarco Cannarsa, Roberto Ferretti

arxiv:1807.00026 v1 · 2018-06-29 · math.OC · 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{DFVMWNS3QKZ2OUR6Y6HKF7SVZN}

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	2026-05-18T00:11:56.353920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

196acb365b82b3a7523ec78ea2fe55cb603a40a404e76515978f25f8b2c18df0

Aliases

arxiv: 1807.00026 · arxiv_version: 1807.00026v1 · doi: 10.48550/arxiv.1807.00026 · pith_short_12: DFVMWNS3QKZ2 · pith_short_16: DFVMWNS3QKZ2OUR6 · pith_short_8: DFVMWNS3

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/DFVMWNS3QKZ2OUR6Y6HKF7SVZN \
  | 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: 196acb365b82b3a7523ec78ea2fe55cb603a40a404e76515978f25f8b2c18df0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b3af0156f07cb564722c79b5c3aad78016cb3528ac6f68437cc21e351324d1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-29T18:20:18Z",
    "title_canon_sha256": "30fd6b3fb9c214f207f2bc7009b0e0a1f08e42c68328f4b573a2d230e748fb35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00026",
    "kind": "arxiv",
    "version": 1
  }
}