Pith Number

pith:GEUJZPKG

pith:2014:GEUJZPKGCXW2IAFTH7RT2G3PPU

not attested not anchored not stored refs pending

Stochastic Perron's Method for the Probability of lifetime ruin problem under transaction costs

Erhan Bayraktar, Yuchong Zhang

arxiv:1404.7406 v2 · 2014-04-29 · math.OC · math.PR · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEUJZPKGCXW2IAFTH7RT2G3PPU}

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	2026-05-18T02:38:46.042707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31289cbd4615eda400b33fe33d1b6f7d24462cea784b2158001bb4d26d217d7b

Aliases

arxiv: 1404.7406 · arxiv_version: 1404.7406v2 · doi: 10.48550/arxiv.1404.7406 · pith_short_12: GEUJZPKGCXW2 · pith_short_16: GEUJZPKGCXW2IAFT · pith_short_8: GEUJZPKG

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/GEUJZPKGCXW2IAFTH7RT2G3PPU \
  | 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: 31289cbd4615eda400b33fe33d1b6f7d24462cea784b2158001bb4d26d217d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e6aaa6c32fef72d3a692815399aebd682b7dfb26c4191b4480009f5b3ede29",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-04-29T15:48:21Z",
    "title_canon_sha256": "4a38bb8a0efcc4d3113b71d224e40ac6030603b0a67a56962c0005c617892182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7406",
    "kind": "arxiv",
    "version": 2
  }
}