Pith Number

pith:XNS7TXQ3

pith:2019:XNS7TXQ3RI2BJF2JVM5KJQHQ2Z

not attested not anchored not stored refs pending

Decision Set Optimization and Energy-Efficient MIMO Communications

Chao Zhang, Hang Zou, Lucas Saludjian, Patrick Panciatici, Samson Lasaulce

arxiv:1909.07172 v1 · 2019-09-16 · cs.IT · cs.NE · eess.SP · 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{XNS7TXQ3RI2BJF2JVM5KJQHQ2Z}

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	2026-07-05T00:04:53.709154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb65f9de1b8a34149749ab3aa4c0f0d659460cb3f13e270da29f499eec86c215

Aliases

arxiv: 1909.07172 · arxiv_version: 1909.07172v1 · doi: 10.48550/arxiv.1909.07172 · pith_short_12: XNS7TXQ3RI2B · pith_short_16: XNS7TXQ3RI2BJF2J · pith_short_8: XNS7TXQ3

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/XNS7TXQ3RI2BJF2JVM5KJQHQ2Z \
  | 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: bb65f9de1b8a34149749ab3aa4c0f0d659460cb3f13e270da29f499eec86c215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4ed647c694ed248aa33e024012ee60a1eb4e8c06696271786522b97a3e4c88",
    "cross_cats_sorted": [
      "cs.NE",
      "eess.SP",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-09-16T13:00:51Z",
    "title_canon_sha256": "d9a591999d88f6a0af2e43502ca690d7e70f71e78eb6dddd784c0aeef0b9aa3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07172",
    "kind": "arxiv",
    "version": 1
  }
}