Pith Number

pith:4MSWA5RX

pith:2017:4MSWA5RXAWW7GNSNOGSHZY6TZP

not attested not anchored not stored refs pending

Numerical Methods for Mean-Field-Type Optimal Control Problems

Laurent Pfeiffer

arxiv:1703.10001 v1 · 2017-03-29 · 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{4MSWA5RXAWW7GNSNOGSHZY6TZP}

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	2026-05-18T00:47:38.846631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32560763705adf3364d71a47ce3d3cbcdd6a7f7e50d3f85bbe0ef9700be3a20

Aliases

arxiv: 1703.10001 · arxiv_version: 1703.10001v1 · doi: 10.48550/arxiv.1703.10001 · pith_short_12: 4MSWA5RXAWW7 · pith_short_16: 4MSWA5RXAWW7GNSN · pith_short_8: 4MSWA5RX

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/4MSWA5RXAWW7GNSNOGSHZY6TZP \
  | 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: e32560763705adf3364d71a47ce3d3cbcdd6a7f7e50d3f85bbe0ef9700be3a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3318ec229d398cac8b22890cab76859cdd7658f0023da0d27b294147871194",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-29T12:36:37Z",
    "title_canon_sha256": "aff47fa75b0acc1dd6b7f4449d93c09f43e0c1aba223b00d2c986350dc79e382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10001",
    "kind": "arxiv",
    "version": 1
  }
}