Pith Number

pith:WRLIE2SD

pith:2022:WRLIE2SDOKTFHOHFQTRGBITUOW

not attested not anchored not stored refs pending

Sensitivity of multiperiod optimization problems in adapted Wasserstein distance

Daniel Bartl, Johannes Wiesel

arxiv:2208.05656 v2 · 2022-08-11 · math.OC · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRLIE2SDOKTFHOHFQTRGBITUOW}

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.

Cited by

1 paper in Pith

Analytical Approach to Continuous-Time Causal Optimal Transport

Receipt and verification

First computed	2026-07-05T06:21:13.302041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b456826a4372a653b8e584e260a27475b36f54f54ca2b347fc675927cf27a414

Aliases

arxiv: 2208.05656 · arxiv_version: 2208.05656v2 · doi: 10.48550/arxiv.2208.05656 · pith_short_12: WRLIE2SDOKTF · pith_short_16: WRLIE2SDOKTFHOHF · pith_short_8: WRLIE2SD

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/WRLIE2SDOKTFHOHFQTRGBITUOW \
  | 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: b456826a4372a653b8e584e260a27475b36f54f54ca2b347fc675927cf27a414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a32c1e1854e377af32825af8897a95972d9771f7439203e6740675711667d061",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-08-11T06:27:11Z",
    "title_canon_sha256": "54cda48eb51d15971c582ab624e3efbf54f1f2e8d5fe8340d01ac7f2ab7ba80e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05656",
    "kind": "arxiv",
    "version": 2
  }
}