Pith Number

pith:XJXOCFIX

pith:2022:XJXOCFIXSX44KU5TQC3UTLII6C

not attested not anchored not stored refs pending

Bipolar Theorems for Sets of Non-negative Random Variables

Gregor Svindland, Johannes Langner

arxiv:2212.14259 v5 · 2022-12-29 · math.PR · math.FA · 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{XJXOCFIXSX44KU5TQC3UTLII6C}

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

Robust SGLD algorithm for solving non-convex distributionally robust optimisation problems

Receipt and verification

First computed	2026-05-21T01:04:11.025015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba6ee1151795f9c553b380b749ad08f0bea6cb004c0e407ef52741aeda6e886f

Aliases

arxiv: 2212.14259 · arxiv_version: 2212.14259v5 · doi: 10.48550/arxiv.2212.14259 · pith_short_12: XJXOCFIXSX44 · pith_short_16: XJXOCFIXSX44KU5T · pith_short_8: XJXOCFIX

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/XJXOCFIXSX44KU5TQC3UTLII6C \
  | 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: ba6ee1151795f9c553b380b749ad08f0bea6cb004c0e407ef52741aeda6e886f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae7dab97d61b83e2e873eb9c073a1fa46c12ffed4d9ffc40b05a1c18dd40d90",
    "cross_cats_sorted": [
      "math.FA",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-29T11:06:28Z",
    "title_canon_sha256": "da3678336b37d723ca00946305292a66e01b5e3d1b7d92a1bd0a0d6ebee67c3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14259",
    "kind": "arxiv",
    "version": 5
  }
}