Pith Number

pith:7TT2IQS2

pith:2016:7TT2IQS2CNAH7Y3KVNELAUJLTX

not attested not anchored not stored refs pending

Closedness of convex sets in Orlicz spaces with applications to dual representation of risk measures

Denny H. Leung, Foivos Xanthos, Niushan Gao

arxiv:1610.08806 v3 · 2016-10-27 · 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{7TT2IQS2CNAH7Y3KVNELAUJLTX}

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	2026-05-18T00:42:51.509408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce7a4425a13407fe36aab48b0512b9de7ad0e308df6e2aaf0bb035cc7edd0a7

Aliases

arxiv: 1610.08806 · arxiv_version: 1610.08806v3 · doi: 10.48550/arxiv.1610.08806 · pith_short_12: 7TT2IQS2CNAH · pith_short_16: 7TT2IQS2CNAH7Y3K · pith_short_8: 7TT2IQS2

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/7TT2IQS2CNAH7Y3KVNELAUJLTX \
  | 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: fce7a4425a13407fe36aab48b0512b9de7ad0e308df6e2aaf0bb035cc7edd0a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0831627de8ab7645a8962b8d542cbdec9d25a68433bc9c3a662bda6272fe8ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-10-27T14:38:56Z",
    "title_canon_sha256": "9d75569cc832562b2dd932e0f0cc8e36e1bb82c678f69c14db3e32595cac064b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08806",
    "kind": "arxiv",
    "version": 3
  }
}