Pith Number

pith:32GTMM3V

pith:2017:32GTMM3V2ZWYBNX5E4A2KFB7VC

not attested not anchored not stored refs pending

Alternating Optimization for Capacity Region of Gaussian MIMO Broadcast Channels with Per-antenna Power Constraint

Le-Nam Tran, Ronan Farrell, Thuy M. Pham

arxiv:1704.01473 v2 · 2017-04-05 · 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{32GTMM3V2ZWYBNX5E4A2KFB7VC}

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	2026-05-18T00:44:18.635281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8d363375d66d80b6fd2701a5143fa8a21562bf90bfd3704a734e40663e0c68

Aliases

arxiv: 1704.01473 · arxiv_version: 1704.01473v2 · doi: 10.48550/arxiv.1704.01473 · pith_short_12: 32GTMM3V2ZWY · pith_short_16: 32GTMM3V2ZWYBNX5 · pith_short_8: 32GTMM3V

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/32GTMM3V2ZWYBNX5E4A2KFB7VC \
  | 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: de8d363375d66d80b6fd2701a5143fa8a21562bf90bfd3704a734e40663e0c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c4037a54e299f7087fb6fad54979000a6c64bdebc62ed637ccd40af30f9197",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-04-05T15:11:39Z",
    "title_canon_sha256": "90bd8f0f15bfd228690aa71b9c5ef2c36f1fa1f5f13740de684727849db3661c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01473",
    "kind": "arxiv",
    "version": 2
  }
}