Pith Number

pith:VVLJQ5W5

pith:2019:VVLJQ5W5GY6N7VW7NDOGFEPZ5Y

not attested not anchored not stored refs pending

Efficient Estimation of the Left Tail of Bimodal Distributions with Applications to Underwater Optical Communication Systems

Chaouki Ben Issaid, Mohamed-Slim Alouini

arxiv:1909.11016 v1 · 2019-09-24 · stat.AP · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVLJQ5W5GY6N7VW7NDOGFEPZ5Y}

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	2026-07-05T00:07:03.885766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad569876dd363cdfd6df68dc6291f9ee192e7ad72476e6f61d0b2088a81b52be

Aliases

arxiv: 1909.11016 · arxiv_version: 1909.11016v1 · doi: 10.48550/arxiv.1909.11016 · pith_short_12: VVLJQ5W5GY6N · pith_short_16: VVLJQ5W5GY6N7VW7 · pith_short_8: VVLJQ5W5

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/VVLJQ5W5GY6N7VW7NDOGFEPZ5Y \
  | 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: ad569876dd363cdfd6df68dc6291f9ee192e7ad72476e6f61d0b2088a81b52be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "661119db4250df0ef8764aeed4964889d5203bcafdfd49079c785aeb7c35086d",
    "cross_cats_sorted": [
      "eess.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2019-09-24T15:56:19Z",
    "title_canon_sha256": "89b36180fc4082a088364d5b4476f59e06d580daa034092d08f1b2faeb795b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.11016",
    "kind": "arxiv",
    "version": 1
  }
}