Pith Number

pith:G5F6SNOE

pith:2018:G5F6SNOE3MHE2XRSIKGYTP2NQA

not attested not anchored not stored refs pending

A refinement of Bennett's inequality with applications to portfolio optimization

Tony Jebara

arxiv:1804.05454 v1 · 2018-04-16 · math.ST · cs.LG · q-fin.PM · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5F6SNOE3MHE2XRSIKGYTP2NQA}

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	2026-05-18T00:18:28.090891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374be935c4db0e4d5e32428d89bf4d801fc5e0422b45e7d76675f36964acfb73

Aliases

arxiv: 1804.05454 · arxiv_version: 1804.05454v1 · doi: 10.48550/arxiv.1804.05454 · pith_short_12: G5F6SNOE3MHE · pith_short_16: G5F6SNOE3MHE2XRS · pith_short_8: G5F6SNOE

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/G5F6SNOE3MHE2XRSIKGYTP2NQA \
  | 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: 374be935c4db0e4d5e32428d89bf4d801fc5e0422b45e7d76675f36964acfb73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b1c65e41926b127054fd636d3c614254f717ca1c32dd078fe6b620dcecce7d",
    "cross_cats_sorted": [
      "cs.LG",
      "q-fin.PM",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-04-16T00:11:14Z",
    "title_canon_sha256": "2f55c678c6e6911d2eb7d47014a9bf9578e30cf586ef9967bce00647e7ed92a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05454",
    "kind": "arxiv",
    "version": 1
  }
}