Pith Number

pith:XWXCDJBO

pith:2012:XWXCDJBO5SBXV5OTB5SF4T2DYX

not attested not anchored not stored refs pending

Contraction options and optimal multiple-stopping in spectrally negative Levy models

Kazutoshi Yamazaki

arxiv:1209.1790 v3 · 2012-09-09 · 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{XWXCDJBO5SBXV5OTB5SF4T2DYX}

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	2026-05-18T02:42:26.132522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdae21a42eec837af5d30f645e4f43c5db3bdefcf6887ba9162873edebd19df6

Aliases

arxiv: 1209.1790 · arxiv_version: 1209.1790v3 · doi: 10.48550/arxiv.1209.1790 · pith_short_12: XWXCDJBO5SBX · pith_short_16: XWXCDJBO5SBXV5OT · pith_short_8: XWXCDJBO

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/XWXCDJBO5SBXV5OTB5SF4T2DYX \
  | 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: bdae21a42eec837af5d30f645e4f43c5db3bdefcf6887ba9162873edebd19df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3c0d2edc821f650d18a269b98ae9fdb2ca17a9587dcebb126f5e1348e5a7148",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-09-09T11:04:49Z",
    "title_canon_sha256": "d037a03f941ecabb530c7369090dbb80ea4f0ee398ba1051c9e7c9731b7d9e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1790",
    "kind": "arxiv",
    "version": 3
  }
}