Pith Number

pith:5FGMQQQX

pith:2016:5FGMQQQX34MSBQ76KAZCZMNL2N

not attested not anchored not stored refs pending

Optimal Control Problems in Transport Dynamics

Giuseppe Buttazzo, Mattia Bongini

arxiv:1609.07323 v1 · 2016-09-23 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FGMQQQX34MSBQ76KAZCZMNL2N}

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	2026-05-18T01:04:01.700680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e94cc84217df1920c3fe50322cb1abd360de4b589d5b652be94214b6be4c3c57

Aliases

arxiv: 1609.07323 · arxiv_version: 1609.07323v1 · doi: 10.48550/arxiv.1609.07323 · pith_short_12: 5FGMQQQX34MS · pith_short_16: 5FGMQQQX34MSBQ76 · pith_short_8: 5FGMQQQX

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/5FGMQQQX34MSBQ76KAZCZMNL2N \
  | 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: e94cc84217df1920c3fe50322cb1abd360de4b589d5b652be94214b6be4c3c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8320442f7701375131111d08ceb7934db26def9dfa45f94e6d3e129413434756",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-23T11:35:10Z",
    "title_canon_sha256": "14297135a0e0b648a2c7707b433c5ed7f17398183eda61eeb668447b00d1ba4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07323",
    "kind": "arxiv",
    "version": 1
  }
}