Pith Number

pith:XMN7WIQW

pith:2016:XMN7WIQWEUSCXM5IO4TNMGHIUB

not attested not anchored not stored refs pending

Entropy of the Sum of Two Independent, Non-Identically-Distributed Exponential Random Variables

Andrew W. Eckford, Peter J. Thomas

arxiv:1609.02911 v1 · 2016-09-09 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMN7WIQWEUSCXM5IO4TNMGHIUB}

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	2026-05-18T01:04:50.999978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1bfb221625242bb3a87726d618e8a07a4178a4a799c3aa5920feb66da46b00

Aliases

arxiv: 1609.02911 · arxiv_version: 1609.02911v1 · doi: 10.48550/arxiv.1609.02911 · pith_short_12: XMN7WIQWEUSC · pith_short_16: XMN7WIQWEUSCXM5I · pith_short_8: XMN7WIQW

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/XMN7WIQWEUSCXM5IO4TNMGHIUB \
  | 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: bb1bfb221625242bb3a87726d618e8a07a4178a4a799c3aa5920feb66da46b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28026a08e97437f73eccf08a723186f19752f328e7904ec6fd3d2a978178eac6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-09T19:57:11Z",
    "title_canon_sha256": "df3985a9fc3a2270f4e589b4e88ba6b0b865014d6c1b1ac45a5bc67c6de50431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02911",
    "kind": "arxiv",
    "version": 1
  }
}