Pith Number

pith:CZ2S5PPH

pith:2024:CZ2S5PPH6HVZKS5XIRZ4PJ7GOA

not attested not anchored not stored refs pending

Sample Complexity of Data-driven Multistage Stochastic Programming under Markovian Uncertainty

Grani A. Hanasusanto, Hyuk Park

arxiv:2412.19299 v1 · 2024-12-26 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZ2S5PPH6HVZKS5XIRZ4PJ7GOA}

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	2026-07-05T09:54:33.631091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16752ebde7f1eb954bb74473c7a7e67014563750a24390808d9247d91a45c31f

Aliases

arxiv: 2412.19299 · arxiv_version: 2412.19299v1 · doi: 10.48550/arxiv.2412.19299 · pith_short_12: CZ2S5PPH6HVZ · pith_short_16: CZ2S5PPH6HVZKS5X · pith_short_8: CZ2S5PPH

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/CZ2S5PPH6HVZKS5XIRZ4PJ7GOA \
  | 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: 16752ebde7f1eb954bb74473c7a7e67014563750a24390808d9247d91a45c31f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3531f387f63cb3a2eaa14007cde678c85ced345bcae798ed469d7a7466b7bf50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-26T17:46:27Z",
    "title_canon_sha256": "a496706d2bc430aea55d45df9d162d9cda5a9edc1944394df9eb51e7a7371e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19299",
    "kind": "arxiv",
    "version": 1
  }
}