Pith Number

pith:4Z3BHD5B

pith:2013:4Z3BHD5BOWMZ5VDEOZMQ6BJ6EG

not attested not anchored not stored refs pending

Solving optimal stopping problems via empirical dual optimization

Denis Belomestny

arxiv:1309.2125 v1 · 2013-09-09 · 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{4Z3BHD5BOWMZ5VDEOZMQ6BJ6EG}

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	2026-05-18T03:13:47.075672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e676138fa175999ed46476590f053e21ac4ec45d363001ccf037537fc45566e4

Aliases

arxiv: 1309.2125 · arxiv_version: 1309.2125v1 · doi: 10.48550/arxiv.1309.2125 · pith_short_12: 4Z3BHD5BOWMZ · pith_short_16: 4Z3BHD5BOWMZ5VDE · pith_short_8: 4Z3BHD5B

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/4Z3BHD5BOWMZ5VDEOZMQ6BJ6EG \
  | 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: e676138fa175999ed46476590f053e21ac4ec45d363001ccf037537fc45566e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972632990e477921d9f582237fc46f7b3f1e261cd6aa38e297556e6f800b6381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-09T12:02:04Z",
    "title_canon_sha256": "5293b1bcf8a659fd7c86fb3e7731a07f56931f807dc880e3f86d9f0cfe98ba0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2125",
    "kind": "arxiv",
    "version": 1
  }
}