Pith Number

pith:BCPRXR44

pith:2017:BCPRXR444KEALLJPKIUOIFUUJ2

not attested not anchored not stored refs pending

Controllability and optimal control of the transport equation with a localized vector field

Francesco Rossi (LSIS), Michel Duprez (I2M), Morgan Morancey (I2M)

arxiv:1702.07272 v3 · 2017-02-23 · 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{BCPRXR444KEALLJPKIUOIFUUJ2}

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	2026-05-18T00:31:31.322568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089f1bc79ce28805ad2f5228e416944e91608062ee50e2a46784af1beef20613

Aliases

arxiv: 1702.07272 · arxiv_version: 1702.07272v3 · doi: 10.48550/arxiv.1702.07272 · pith_short_12: BCPRXR444KEA · pith_short_16: BCPRXR444KEALLJP · pith_short_8: BCPRXR44

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/BCPRXR444KEALLJPKIUOIFUUJ2 \
  | 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: 089f1bc79ce28805ad2f5228e416944e91608062ee50e2a46784af1beef20613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e6ad0d740415804e4374d2ab106431a750ec0d1e6ccee6f24f097ace927b1f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-23T16:02:00Z",
    "title_canon_sha256": "6b62aa132ff46d9fb877bce4ea885e64a7c5d25838c20786bdf67a326ab2cb70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07272",
    "kind": "arxiv",
    "version": 3
  }
}