Pith Number

pith:KC5OWCQO

pith:2014:KC5OWCQO2KU4W5WRNGB5O4VBKE

not attested not anchored not stored refs pending

Minimization Problems Based on Relative $\alpha$-Entropy I: Forward Projection

M. Ashok Kumar, Rajesh Sundaresan

arxiv:1410.2346 v3 · 2014-10-09 · 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{KC5OWCQO2KU4W5WRNGB5O4VBKE}

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	2026-05-18T01:55:33.508569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50baeb0a0ed2a9cb76d16983d772a1510617ba2c044c4c781f05d676d8cacc19

Aliases

arxiv: 1410.2346 · arxiv_version: 1410.2346v3 · doi: 10.48550/arxiv.1410.2346 · pith_short_12: KC5OWCQO2KU4 · pith_short_16: KC5OWCQO2KU4W5WR · pith_short_8: KC5OWCQO

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/KC5OWCQO2KU4W5WRNGB5O4VBKE \
  | 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: 50baeb0a0ed2a9cb76d16983d772a1510617ba2c044c4c781f05d676d8cacc19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861acf194500583799313926237d242f2cc6154cabea5ad0d0eb1db88194a38f",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-10-09T03:19:17Z",
    "title_canon_sha256": "4350fe38b31c83cc3652e1465a779c5e465d8e0641c4e8e1b5da5c5eb71d65a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2346",
    "kind": "arxiv",
    "version": 3
  }
}