Pith Number

pith:6G3UA4HZ

pith:2013:6G3UA4HZKO62YPPEZLPDOBVVJP

not attested not anchored not stored refs pending

On optimal control problems with impulsive commutative dynamics

Franco Rampazzo, M. Soledad Aronna

arxiv:1311.6739 v1 · 2013-11-26 · 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{6G3UA4HZKO62YPPEZLPDOBVVJP}

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	2026-05-18T02:38:29.798678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b74070f953bdac3de4cade3706b54bdfc45d12e49ab028ec5e97a4ffbffbb0

Aliases

arxiv: 1311.6739 · arxiv_version: 1311.6739v1 · doi: 10.48550/arxiv.1311.6739 · pith_short_12: 6G3UA4HZKO62 · pith_short_16: 6G3UA4HZKO62YPPE · pith_short_8: 6G3UA4HZ

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/6G3UA4HZKO62YPPEZLPDOBVVJP \
  | 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: f1b74070f953bdac3de4cade3706b54bdfc45d12e49ab028ec5e97a4ffbffbb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d33851292c09f2169b3fe65d4621d19a6fe094e40224e0352549fec80993ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-26T17:06:49Z",
    "title_canon_sha256": "21f2ed459710f02577943cf111e764acf040dafad7f3d6567f5ba081c92f8f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6739",
    "kind": "arxiv",
    "version": 1
  }
}