Pith Number

pith:OX7JP5KZ

pith:2018:OX7JP5KZ52ZSQU7WB5DZKVHKIK

not attested not anchored not stored refs pending

Computation of optimal transport and related hedging problems via penalization and neural networks

Michael Kupper, Stephan Eckstein

arxiv:1802.08539 v2 · 2018-02-23 · math.OC · q-fin.MF · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OX7JP5KZ52ZSQU7WB5DZKVHKIK}

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	2026-05-17T23:55:34.550669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75fe97f559eeb32853f60f479554ea4298e0a9cf7cabce46bbcbf9437e12e5c2

Aliases

arxiv: 1802.08539 · arxiv_version: 1802.08539v2 · doi: 10.48550/arxiv.1802.08539 · pith_short_12: OX7JP5KZ52ZS · pith_short_16: OX7JP5KZ52ZSQU7W · pith_short_8: OX7JP5KZ

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/OX7JP5KZ52ZSQU7WB5DZKVHKIK \
  | 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: 75fe97f559eeb32853f60f479554ea4298e0a9cf7cabce46bbcbf9437e12e5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654f41ff3debe316e50254fe0bab1d49eea9151401702339d9920693df6ff1be",
    "cross_cats_sorted": [
      "q-fin.MF",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-23T14:19:51Z",
    "title_canon_sha256": "2caefa4b8c512a1a34d369cb5b9f62d7200069c6ee89a3fbdd226054cd8b9ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08539",
    "kind": "arxiv",
    "version": 2
  }
}