Pith Number

pith:QQ5JRB5G

pith:2009:QQ5JRB5GEHZG2XWONLSPPDCLWN

not attested not anchored not stored refs pending

Optimal Stopping for Non-linear Expectations

Erhan Bayraktar, Song Yao

arxiv:0905.3601 v5 · 2009-05-22 · math.OC · math.PR · q-fin.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQ5JRB5GEHZG2XWONLSPPDCLWN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:31:52.517933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843a9887a621f26d5ece6ae4f78c4bb3683f152459cf88a7546fe7589c43902c

Aliases

arxiv: 0905.3601 · arxiv_version: 0905.3601v5 · doi: 10.48550/arxiv.0905.3601 · pith_short_12: QQ5JRB5GEHZG · pith_short_16: QQ5JRB5GEHZG2XWO · pith_short_8: QQ5JRB5G

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/QQ5JRB5GEHZG2XWONLSPPDCLWN \
  | 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: 843a9887a621f26d5ece6ae4f78c4bb3683f152459cf88a7546fe7589c43902c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fd1c76acc9d376912719eb7c615fcb6ba61a25ecb18f18f1cbc78c277d1b99",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-05-22T03:36:57Z",
    "title_canon_sha256": "9da738e84414180302b19f23b579b6beb992da03fa8bd56ea916e784c6253530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3601",
    "kind": "arxiv",
    "version": 5
  }
}