Pith Number

pith:VUC43R7W

pith:2017:VUC43R7WFTLOIY5LCOGD2XRJ35

not attested not anchored not stored refs pending

Tunneling estimates and approximate controllability for hypoelliptic equations

Camille Laurent, Matthieu L\'eautaud

arxiv:1703.10797 v1 · 2017-03-31 · math.AP · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUC43R7WFTLOIY5LCOGD2XRJ35}

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	2026-05-18T00:47:32.695841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad05cdc7f62cd6e463ab138c3d5e29df6e94f452bedbfb8dde463024cccc1772

Aliases

arxiv: 1703.10797 · arxiv_version: 1703.10797v1 · doi: 10.48550/arxiv.1703.10797 · pith_short_12: VUC43R7WFTLO · pith_short_16: VUC43R7WFTLOIY5L · pith_short_8: VUC43R7W

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/VUC43R7WFTLOIY5LCOGD2XRJ35 \
  | 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: ad05cdc7f62cd6e463ab138c3d5e29df6e94f452bedbfb8dde463024cccc1772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29371e840d9c1e7311c1065eeeba6c53f9326c1b5b5cca894d90f28d915d3d75",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-31T08:41:31Z",
    "title_canon_sha256": "f4efe9c5f495688ba582402b191a896a0a0f0e8aae6f4ce90cd9720361554ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10797",
    "kind": "arxiv",
    "version": 1
  }
}