Pith Number

pith:I4HVK647

pith:2019:I4HVK647QARIW3E4WORS6FAZ5Y

not attested not anchored not stored refs pending

Necessary conditions involving Lie brackets for impulsive optimal control problems

Franco Rampazzo, Monica Motta, M. Soledad Aronna

arxiv:1903.06109 v1 · 2019-03-14 · 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{I4HVK647QARIW3E4WORS6FAZ5Y}

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	2026-05-17T23:51:15.351696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

470f557b9f80228b6c9cb3a32f1419ee2436e94b723883fffea0318fe63e0122

Aliases

arxiv: 1903.06109 · arxiv_version: 1903.06109v1 · doi: 10.48550/arxiv.1903.06109 · pith_short_12: I4HVK647QARI · pith_short_16: I4HVK647QARIW3E4 · pith_short_8: I4HVK647

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/I4HVK647QARIW3E4WORS6FAZ5Y \
  | 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: 470f557b9f80228b6c9cb3a32f1419ee2436e94b723883fffea0318fe63e0122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a5a75ae5695b05f63ddfa82101d1aef6c09f11b8589734103afbac84836b65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-03-14T16:38:49Z",
    "title_canon_sha256": "317892d77cb4f424fcea83d644700d92941af8f4ea94497530010c767a8f2946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06109",
    "kind": "arxiv",
    "version": 1
  }
}