Pith Number

pith:4U4SE37P

pith:2010:4U4SE37PWNPUSVQOHOHA7ETAC3

not attested not anchored not stored refs pending

Symbolic Approximate Time-Optimal Control

Manuel Mazo Jr., Paulo Tabuada

arxiv:1004.0763 v2 · 2010-04-06 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4U4SE37PWNPUSVQOHOHA7ETAC3}

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	2026-05-18T02:24:17.474366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e539226fefb35f49560e3b8e0f926016e4635bd8d9318a1875c31aae055420e5

Aliases

arxiv: 1004.0763 · arxiv_version: 1004.0763v2 · doi: 10.48550/arxiv.1004.0763 · pith_short_12: 4U4SE37PWNPU · pith_short_16: 4U4SE37PWNPUSVQO · pith_short_8: 4U4SE37P

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/4U4SE37PWNPUSVQOHOHA7ETAC3 \
  | 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: e539226fefb35f49560e3b8e0f926016e4635bd8d9318a1875c31aae055420e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed6fb5c13286165d42f32ebee385452605a2919c685188793b7b74c921ef0ce",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-04-06T03:40:49Z",
    "title_canon_sha256": "046da44fea8c64c418a0ae8dfa551f8020aa7c45392df18f481117a88cf4049d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0763",
    "kind": "arxiv",
    "version": 2
  }
}