Pith Number

pith:5HCZJNKA

pith:2016:5HCZJNKADB7MX4O6G6KOVHUKQX

not attested not anchored not stored refs pending

On Integer-Forcing Precoding for the Gaussian MIMO Broadcast Channel

Behnaam Aazhang, Danilo Silva, Gabriel Pivaro, Gustavo Fraidenraich

arxiv:1611.07848 v3 · 2016-11-23 · 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{5HCZJNKADB7MX4O6G6KOVHUKQX}

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	2026-05-17T23:47:04.064733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c594b540187ecbf1de3794ea9e8a85e255eaa7d77761179a8e638e4475cb60

Aliases

arxiv: 1611.07848 · arxiv_version: 1611.07848v3 · doi: 10.48550/arxiv.1611.07848 · pith_short_12: 5HCZJNKADB7M · pith_short_16: 5HCZJNKADB7MX4O6 · pith_short_8: 5HCZJNKA

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/5HCZJNKADB7MX4O6G6KOVHUKQX \
  | 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: e9c594b540187ecbf1de3794ea9e8a85e255eaa7d77761179a8e638e4475cb60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d53cda6e24872620c788cd3d03170cbb58ada0a23150ce818df17d44ed26af",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-23T15:51:40Z",
    "title_canon_sha256": "8aef9930e2d01eb0573dc161ff0584b3e798957d98efb6ad1fc87d027a3ed96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07848",
    "kind": "arxiv",
    "version": 3
  }
}