Pith Number

pith:HSQUTTBI

pith:2025:HSQUTTBI7K64T4627THENTLBKJ

not attested not anchored not stored refs pending

Approximating Rockafellians Mitigate Distributional Perturbations: Discontinuous Integrands and Chance-Constrained Applications

Johannes O. Royset, Lai Tian

arxiv:2507.15801 v1 · 2025-07-21 · 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{HSQUTTBI7K64T4627THENTLBKJ}

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	2026-07-05T11:40:44.742355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca149cc28fabdc9f3dafcce46cd615251617947cf11972e8a5c4e881fd9aab1

Aliases

arxiv: 2507.15801 · arxiv_version: 2507.15801v1 · doi: 10.48550/arxiv.2507.15801 · pith_short_12: HSQUTTBI7K64 · pith_short_16: HSQUTTBI7K64T462 · pith_short_8: HSQUTTBI

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/HSQUTTBI7K64T4627THENTLBKJ \
  | 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: 3ca149cc28fabdc9f3dafcce46cd615251617947cf11972e8a5c4e881fd9aab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8624275c7c91ee187605604f157eadcb59d4beb1d9c142b30235a2fe5d5a7f4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-21T17:00:50Z",
    "title_canon_sha256": "7812298a09995b1a6a40c17fe9f4018c2b3e2ae3a3d0ec298eac6daefa4bc8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15801",
    "kind": "arxiv",
    "version": 1
  }
}