Pith Number

pith:7CWAKP7V

pith:2015:7CWAKP7VMCVEHFUKJKVCPRGDLT

not attested not anchored not stored refs pending

Optimal Multiple Stopping with Negative Discount Rate and Random Refraction Times under Levy Models

Hongzhong Zhang, Kazutoshi Yamazaki, Tim Leung

arxiv:1505.07313 v1 · 2015-05-27 · q-fin.MF · 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{7CWAKP7VMCVEHFUKJKVCPRGDLT}

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	2026-05-18T01:19:19.219744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ac053ff560aa43968a4aaa27c4c35cfd4e7f11d9525ccf63ab2b13ec36e5ac

Aliases

arxiv: 1505.07313 · arxiv_version: 1505.07313v1 · doi: 10.48550/arxiv.1505.07313 · pith_short_12: 7CWAKP7VMCVE · pith_short_16: 7CWAKP7VMCVEHFUK · pith_short_8: 7CWAKP7V

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/7CWAKP7VMCVEHFUKJKVCPRGDLT \
  | 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: f8ac053ff560aa43968a4aaa27c4c35cfd4e7f11d9525ccf63ab2b13ec36e5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5c069412e770bb61e3e038dc2e00ecb957dee882ca70d8bcec4dfd2d3260cae",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-05-27T13:40:04Z",
    "title_canon_sha256": "63cdcc342affa4bb2370b870173d58a45bbdda797a65fcdd777d0a0b79c32123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07313",
    "kind": "arxiv",
    "version": 1
  }
}