Pith Number

pith:X2U6BMIC

pith:2010:X2U6BMIC5J2QTK5VO2AOR65UM6

not attested not anchored not stored refs pending

Bang--bang trajectories with a double switching time: sufficient strong local optimality conditions

Laura Poggiolini, Marco Spadini

arxiv:1010.1149 v2 · 2010-10-06 · 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{X2U6BMIC5J2QTK5VO2AOR65UM6}

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	2026-05-18T04:27:26.625166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea9e0b102ea7509abb57680e8fbb4678de36537b244c8a59dbbcd40af273815

Aliases

arxiv: 1010.1149 · arxiv_version: 1010.1149v2 · doi: 10.48550/arxiv.1010.1149 · pith_short_12: X2U6BMIC5J2Q · pith_short_16: X2U6BMIC5J2QTK5V · pith_short_8: X2U6BMIC

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/X2U6BMIC5J2QTK5VO2AOR65UM6 \
  | 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: bea9e0b102ea7509abb57680e8fbb4678de36537b244c8a59dbbcd40af273815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a4fc7026f4f26f610030804b3958c6b6b83c67a04449d712f36cbed9fa7408d",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-10-06T13:29:54Z",
    "title_canon_sha256": "e82d6810acca586be6bdb70fb0c1252e9007f3893b41676dde370cd45f909e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1149",
    "kind": "arxiv",
    "version": 2
  }
}