Pith Number

pith:WLT6OX5Q

pith:2016:WLT6OX5QZVQTA4ZC7DHVJZSMMT

not attested not anchored not stored refs pending

On the set of points of smoothness for the value function for affine optimal control problems

Davide Barilari, Francesco Boarotto

arxiv:1610.07556 v2 · 2016-10-24 · math.OC · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLT6OX5QZVQTA4ZC7DHVJZSMMT}

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	2026-05-18T00:41:07.780104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e7e75fb0cd61307322f8cf54e64c64d0f66eff88353dc4ab708db2c626e8d0

Aliases

arxiv: 1610.07556 · arxiv_version: 1610.07556v2 · doi: 10.48550/arxiv.1610.07556 · pith_short_12: WLT6OX5QZVQT · pith_short_16: WLT6OX5QZVQTA4ZC · pith_short_8: WLT6OX5Q

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/WLT6OX5QZVQTA4ZC7DHVJZSMMT \
  | 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: b2e7e75fb0cd61307322f8cf54e64c64d0f66eff88353dc4ab708db2c626e8d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e25316717afc00f5ec6ceafdb9b0603c64d86709a187ce6c4f98644508b45297",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-24T19:15:04Z",
    "title_canon_sha256": "a239c5a5e9ec21f67a6c37af9ff53a216e0b166ba0c458710fce31731be8bb91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07556",
    "kind": "arxiv",
    "version": 2
  }
}