Pith Number

pith:DVPQY7JC

pith:2013:DVPQY7JCFJKGBRJCYNDAOF7C33

not attested not anchored not stored refs pending

Exact Controllability for Stochastic Transport Equations

Qi L\"u

arxiv:1304.0146 v3 · 2013-03-30 · 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{DVPQY7JCFJKGBRJCYNDAOF7C33}

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	2026-05-18T03:09:48.802633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d5f0c7d222a5460c522c3460717e2def148cd0dc3ada1e74962237568d55820

Aliases

arxiv: 1304.0146 · arxiv_version: 1304.0146v3 · doi: 10.48550/arxiv.1304.0146 · pith_short_12: DVPQY7JCFJKG · pith_short_16: DVPQY7JCFJKGBRJC · pith_short_8: DVPQY7JC

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/DVPQY7JCFJKGBRJCYNDAOF7C33 \
  | 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: 1d5f0c7d222a5460c522c3460717e2def148cd0dc3ada1e74962237568d55820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0268e69e05e18813ea3567fa9d92494bb3766f0681522314649ea308bc30d6a7",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-30T23:40:13Z",
    "title_canon_sha256": "716913310cf7857c46643972078774a2b7fb00d26f1ce8a063d0e89a60d3c884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0146",
    "kind": "arxiv",
    "version": 3
  }
}