Pith Number

pith:Z3E4NNJK

pith:2014:Z3E4NNJKZBWYX7QTII5ATOWCW3

not attested not anchored not stored refs pending

Relative $\alpha$-Entropy Minimizers Subject to Linear Statistical Constraints

M. Ashok Kumar, Rajesh Sundaresan

arxiv:1410.4931 v1 · 2014-10-18 · cs.IT · math.IT · math.ST · 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{Z3E4NNJKZBWYX7QTII5ATOWCW3}

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	2026-05-18T02:39:47.428230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec9c6b52ac86d8bfe13423a09bac2b6f932a77390eeb99dedc10a9174840ddf

Aliases

arxiv: 1410.4931 · arxiv_version: 1410.4931v1 · doi: 10.48550/arxiv.1410.4931 · pith_short_12: Z3E4NNJKZBWY · pith_short_16: Z3E4NNJKZBWYX7QT · pith_short_8: Z3E4NNJK

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/Z3E4NNJKZBWYX7QTII5ATOWCW3 \
  | 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: cec9c6b52ac86d8bfe13423a09bac2b6f932a77390eeb99dedc10a9174840ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471b5178d567ca4cbfbc396a72615a8769d6997c02f814b924da926c79acc8f5",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-10-18T09:42:44Z",
    "title_canon_sha256": "dcbcf478b44c0aab1bd7ff0506c08d306358952fd66886eacca949e1bb6cbbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4931",
    "kind": "arxiv",
    "version": 1
  }
}