Pith Number

pith:MMJBGWEB

pith:2012:MMJBGWEBHR7ZEVLR33FKEO6KUG

not attested not anchored not stored refs pending

Geometry of Optimal Control for Control-Affine Systems

Christopher G. Moseley, George R. Wilkens, Jeanne N. Clelland

arxiv:1206.1101 v2 · 2012-06-06 · math.DG · 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{MMJBGWEBHR7ZEVLR33FKEO6KUG}

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	2026-05-18T03:27:52.369347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63121358813c7f925571decaa23bcaa1ade19e0b2b41f628d7dc216cc0856da3

Aliases

arxiv: 1206.1101 · arxiv_version: 1206.1101v2 · doi: 10.48550/arxiv.1206.1101 · pith_short_12: MMJBGWEBHR7Z · pith_short_16: MMJBGWEBHR7ZEVLR · pith_short_8: MMJBGWEB

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/MMJBGWEBHR7ZEVLR33FKEO6KUG \
  | 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: 63121358813c7f925571decaa23bcaa1ade19e0b2b41f628d7dc216cc0856da3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582b1a8bc6eff9e5f88ffdcdea982ff765d5265bc16686fa4bceb9a8a367f52b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-06T01:05:37Z",
    "title_canon_sha256": "5f26b12721c360be4c9abe9abe0d36eb81a815d7b0c13131f47924cbd068ebed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1101",
    "kind": "arxiv",
    "version": 2
  }
}