Pith Number

pith:KRGGDEXV

pith:2011:KRGGDEXVSSCJ7KMKOL7M4QDLJF

not attested not anchored not stored refs pending

Minimal Cost of a Brownian Risk without Ruin

Michael Taksar, Shangzhen Luo

arxiv:1112.4005 v1 · 2011-12-17 · math.OC · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRGGDEXVSSCJ7KMKOL7M4QDLJF}

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	2026-05-18T04:06:07.244253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

544c6192f594849fa98a72fece406b49686a1e11baedf37f6a53fce5305964aa

Aliases

arxiv: 1112.4005 · arxiv_version: 1112.4005v1 · doi: 10.48550/arxiv.1112.4005 · pith_short_12: KRGGDEXVSSCJ · pith_short_16: KRGGDEXVSSCJ7KMK · pith_short_8: KRGGDEXV

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/KRGGDEXVSSCJ7KMKOL7M4QDLJF \
  | 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: 544c6192f594849fa98a72fece406b49686a1e11baedf37f6a53fce5305964aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b6244281a74df7b14d0d73b8dcd0f6efee745e2a110012471acb989c368427",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-17T01:39:20Z",
    "title_canon_sha256": "a3ac6abd1a87ab8445a596c17dc3ea949364c065da1d2d514ee23b640cb6892e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4005",
    "kind": "arxiv",
    "version": 1
  }
}