Pith Number

pith:YGKA2ZUU

pith:2017:YGKA2ZUU7QPIAGH673LX7LCKWI

not attested not anchored not stored refs pending

Energy-Efficient Joint Unicast and Multicast Beamforming with Multi-Antenna User Terminals

Bj\"orn Ottersten, Le-Nam Tran, Markku Juntti, Oskari Tervo, Symeon Chatzinotas

arxiv:1705.03723 v1 · 2017-05-10 · 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{YGKA2ZUU7QPIAGH673LX7LCKWI}

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	2026-05-18T00:44:43.152485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1940d6694fc1e8018fefed77fac4ab20dd72379597b81cf61009fc57065b1fd

Aliases

arxiv: 1705.03723 · arxiv_version: 1705.03723v1 · doi: 10.48550/arxiv.1705.03723 · pith_short_12: YGKA2ZUU7QPI · pith_short_16: YGKA2ZUU7QPIAGH6 · pith_short_8: YGKA2ZUU

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/YGKA2ZUU7QPIAGH673LX7LCKWI \
  | 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: c1940d6694fc1e8018fefed77fac4ab20dd72379597b81cf61009fc57065b1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2be466b1759b607b37d2f11539bd98b2dde35dc51308f816b05fe4e13d20199",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-05-10T12:26:44Z",
    "title_canon_sha256": "6de6e7a89301d7da187e60c79207d13579ef436df5397032a2ba571807267923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03723",
    "kind": "arxiv",
    "version": 1
  }
}