Pith Number

pith:3PANNZD4

pith:2012:3PANNZD4LUD2HEBXW44FPKIOKW

not attested not anchored not stored refs pending

Stochastic maximum principle for infinite dimensional control systems

Kai Du, Qingxin Meng

arxiv:1208.0529 v2 · 2012-08-02 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PANNZD4LUD2HEBXW44FPKIOKW}

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	2026-05-18T03:49:21.433931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc0d6e47c5d07a39037b73857a90e55ba141e84043eed9bc2b3e9161dfebe66

Aliases

arxiv: 1208.0529 · arxiv_version: 1208.0529v2 · doi: 10.48550/arxiv.1208.0529 · pith_short_12: 3PANNZD4LUD2 · pith_short_16: 3PANNZD4LUD2HEBX · pith_short_8: 3PANNZD4

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/3PANNZD4LUD2HEBXW44FPKIOKW \
  | 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: dbc0d6e47c5d07a39037b73857a90e55ba141e84043eed9bc2b3e9161dfebe66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e9f050e53ff58cefd9449091976b7023f2e485e0f1f0f20e198136184c1ff78",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-02T16:18:45Z",
    "title_canon_sha256": "668e951168abcb66318b54793bf600be0be5b28bf0c2200dbc64e06ba2880cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0529",
    "kind": "arxiv",
    "version": 2
  }
}