Pith Number

pith:FTP4QOJS

pith:2010:FTP4QOJSB7Z5OTU7GAXYZ7AV2F

not attested not anchored not stored refs pending

Finite Time and Exact Time Controllability on Compact Manifolds

Philippe Jouan (LMRS)

arxiv:1004.5224 v1 · 2010-04-29 · 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{FTP4QOJSB7Z5OTU7GAXYZ7AV2F}

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	2026-05-18T03:56:45.297862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cdfc839320ff3d74e9f302f8cfc15d16ac39cc05b737b3bf93d842a27b06a9a

Aliases

arxiv: 1004.5224 · arxiv_version: 1004.5224v1 · doi: 10.48550/arxiv.1004.5224 · pith_short_12: FTP4QOJSB7Z5 · pith_short_16: FTP4QOJSB7Z5OTU7 · pith_short_8: FTP4QOJS

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/FTP4QOJSB7Z5OTU7GAXYZ7AV2F \
  | 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: 2cdfc839320ff3d74e9f302f8cfc15d16ac39cc05b737b3bf93d842a27b06a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f4dc5fb35598586ed10ba9c90884c86621657bf2600bb6d13e29e2da20df28c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-04-29T09:18:07Z",
    "title_canon_sha256": "1ae23e6b4faa5e4887419ac9d5c608b7d911ea379ffeea4fd54f222f7414493b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5224",
    "kind": "arxiv",
    "version": 1
  }
}