Pith Number

pith:J3VBGVGR

pith:2018:J3VBGVGRSZA7YNP7NX2YIO65ZV

not attested not anchored not stored refs pending

(Sub)Optimal feedback control of mean field multi-population dynamics

Dante Kalise, Giacomo Albi

arxiv:1803.00301 v1 · 2018-03-01 · math.OC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3VBGVGRSZA7YNP7NX2YIO65ZV}

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	2026-05-18T00:22:12.679437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eea1354d19641fc35ff6df5843bddcd4cbd6d87fde37370aa2184e1efd5572c

Aliases

arxiv: 1803.00301 · arxiv_version: 1803.00301v1 · doi: 10.48550/arxiv.1803.00301 · pith_short_12: J3VBGVGRSZA7 · pith_short_16: J3VBGVGRSZA7YNP7 · pith_short_8: J3VBGVGR

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/J3VBGVGRSZA7YNP7NX2YIO65ZV \
  | 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: 4eea1354d19641fc35ff6df5843bddcd4cbd6d87fde37370aa2184e1efd5572c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "118ddff09d4d9d567cbb8e32ae250e877fea20618e34d695b5ccacc7dfa1645e",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-01T10:58:04Z",
    "title_canon_sha256": "23a3c72d6c8da4178062887876b8ea0e56d316f76dd6789de806290c6787493e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00301",
    "kind": "arxiv",
    "version": 1
  }
}