Pith Number

pith:Q5DJ5QOP

pith:2019:Q5DJ5QOPES7ZGMV4SOOA44VZ24

not attested not anchored not stored refs pending

Distributionally Robust Optimization with Confidence Bands for Probability Density Functions

Guanglin Xu, Qihang Lin, Xi Chen

arxiv:1901.02169 v1 · 2019-01-08 · 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{Q5DJ5QOPES7ZGMV4SOOA44VZ24}

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	2026-05-17T23:56:43.875741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87469ec1cf24bf9332bc939c0e72b9d73415f4d732fea36bf2818014dde6b5c9

Aliases

arxiv: 1901.02169 · arxiv_version: 1901.02169v1 · doi: 10.48550/arxiv.1901.02169 · pith_short_12: Q5DJ5QOPES7Z · pith_short_16: Q5DJ5QOPES7ZGMV4 · pith_short_8: Q5DJ5QOP

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/Q5DJ5QOPES7ZGMV4SOOA44VZ24 \
  | 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: 87469ec1cf24bf9332bc939c0e72b9d73415f4d732fea36bf2818014dde6b5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d9ce800966d85a465ff89ab8155c7aabcf7a38d7a74d81ed8278043a2d68b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-08T06:16:02Z",
    "title_canon_sha256": "b7372b328eff6883751cde39ba7a50087f3d1857463a23f692b65d2ec4a250ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02169",
    "kind": "arxiv",
    "version": 1
  }
}