Pith Number

pith:F5YSTRY7

pith:2014:F5YSTRY7KQHA3RRNHFQALN7KXJ

not attested not anchored not stored refs pending

Mean-Field Sparse Optimal Control

Benedetto Piccoli, Francesco Rossi, Massimo Fornasier

arxiv:1402.5657 v2 · 2014-02-23 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5YSTRY7KQHA3RRNHFQALN7KXJ}

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	2026-05-18T01:44:29.238411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7129c71f540e0dc62d396005b7eaba4f6673d507fb2c1759cc818b89666a1a

Aliases

arxiv: 1402.5657 · arxiv_version: 1402.5657v2 · doi: 10.48550/arxiv.1402.5657 · pith_short_12: F5YSTRY7KQHA · pith_short_16: F5YSTRY7KQHA3RRN · pith_short_8: F5YSTRY7

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/F5YSTRY7KQHA3RRNHFQALN7KXJ \
  | 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: 2f7129c71f540e0dc62d396005b7eaba4f6673d507fb2c1759cc818b89666a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca1379f9c9f613aca7614e9975cbd834b34adcf7eee31d85abb09af85b78f58",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-02-23T19:43:31Z",
    "title_canon_sha256": "60447e776c189dd527b2381f2a076855f9279c84f42b3f59bd4c32396674c948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5657",
    "kind": "arxiv",
    "version": 2
  }
}