Pith Number

pith:W4Y6SLJT

pith:2016:W4Y6SLJTERLTJJ6HX2CWMY4T3F

not attested not anchored not stored refs pending

EM Algorithm and Stochastic Control in Economics

Steven Kou, Xianhua Peng, Xingbo Xu

arxiv:1611.01767 v1 · 2016-11-06 · q-fin.EC · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4Y6SLJTERLTJJ6HX2CWMY4T3F}

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	2026-05-18T01:00:04.517731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b731e92d33245734a7c7be85666393d9405d8a4d5a39589db855046117079864

Aliases

arxiv: 1611.01767 · arxiv_version: 1611.01767v1 · doi: 10.48550/arxiv.1611.01767 · pith_short_12: W4Y6SLJTERLT · pith_short_16: W4Y6SLJTERLTJJ6H · pith_short_8: W4Y6SLJT

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/W4Y6SLJTERLTJJ6HX2CWMY4T3F \
  | 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: b731e92d33245734a7c7be85666393d9405d8a4d5a39589db855046117079864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2979503c5a86ad8f89f57ff859f1459f89fda3632c575711c3b2ae801f147e",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.EC",
    "submitted_at": "2016-11-06T12:37:29Z",
    "title_canon_sha256": "75d1c4310cc0b39f71d8874c7cacd2db471b595838bfa2b2c1beb7ec45121fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01767",
    "kind": "arxiv",
    "version": 1
  }
}