Pith Number

pith:GMATTYTV

pith:2014:GMATTYTVFIFPNANAI3VPUPS3VY

not attested not anchored not stored refs pending

Minimization Problems Based on Relative $\alpha$-Entropy II: Reverse Projection

M. Ashok Kumar, Rajesh Sundaresan

arxiv:1410.5550 v2 · 2014-10-21 · cs.IT · math.IT · math.PR · 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{GMATTYTVFIFPNANAI3VPUPS3VY}

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	2026-05-18T01:55:33.417528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330139e2752a0af681a046eafa3e5bae022a92ccdd07206a84a85264c6e78053

Aliases

arxiv: 1410.5550 · arxiv_version: 1410.5550v2 · doi: 10.48550/arxiv.1410.5550 · pith_short_12: GMATTYTVFIFP · pith_short_16: GMATTYTVFIFPNANA · pith_short_8: GMATTYTV

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/GMATTYTVFIFPNANAI3VPUPS3VY \
  | 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: 330139e2752a0af681a046eafa3e5bae022a92ccdd07206a84a85264c6e78053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880a689545692c2dc7cb12f82c12d972ba8b4ac6c339ee95e7306aa0619b4676",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-10-21T06:40:28Z",
    "title_canon_sha256": "2b72e13c60cc872145656e755296c25194f3fc0afc9ea5674bc160b83c01c503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5550",
    "kind": "arxiv",
    "version": 2
  }
}