Pith Number

pith:YWZNDLNZ

pith:2024:YWZNDLNZI7MDMLE6U3PGT72QUX

not attested not anchored not stored refs pending

Differentiable Distributionally Robust Optimization Layers

Chao Ning, Wenli Du, Xutao Ma

arxiv:2406.16571 v1 · 2024-06-24 · math.OC · cs.AI · cs.LG · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWZNDLNZI7MDMLE6U3PGT72QUX}

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	2026-07-05T08:36:00.733071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b2d1adb947d8362c9ea6de69ff50a5eed749efa89227fef722328269f813ec

Aliases

arxiv: 2406.16571 · arxiv_version: 2406.16571v1 · doi: 10.48550/arxiv.2406.16571 · pith_short_12: YWZNDLNZI7MD · pith_short_16: YWZNDLNZI7MDMLE6 · pith_short_8: YWZNDLNZ

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/YWZNDLNZI7MDMLE6U3PGT72QUX \
  | 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: c5b2d1adb947d8362c9ea6de69ff50a5eed749efa89227fef722328269f813ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3d438d1f417dbeda668bb7d7e74468973cf7037ec49dab174866eb86d885b0",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-24T12:09:19Z",
    "title_canon_sha256": "9012c8fa42b399e376eb36e56a999c25e4aa8ec7b8dc1581693c948a315b1a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.16571",
    "kind": "arxiv",
    "version": 1
  }
}