Pith Number

pith:7Z2JHIDE

pith:2015:7Z2JHIDEKP3IAI27Q4SNBYOOQ5

not attested not anchored not stored refs pending

Iterative Joint Beamforming Training with Constant-Amplitude Phased Arrays in Millimeter-Wave Communication

Jinho Choi, Lin Bai, Zhenyu Xiao

arxiv:1511.02325 v1 · 2015-11-07 · 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{7Z2JHIDEKP3IAI27Q4SNBYOOQ5}

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	2026-05-18T00:58:57.572648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7493a06453f680235f8724d0e1ce8766affa8e430803bd5762e679e9e99d38

Aliases

arxiv: 1511.02325 · arxiv_version: 1511.02325v1 · doi: 10.48550/arxiv.1511.02325 · pith_short_12: 7Z2JHIDEKP3I · pith_short_16: 7Z2JHIDEKP3IAI27 · pith_short_8: 7Z2JHIDE

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/7Z2JHIDEKP3IAI27Q4SNBYOOQ5 \
  | 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: fe7493a06453f680235f8724d0e1ce8766affa8e430803bd5762e679e9e99d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9311443abbce9f4a1810fd6d8d14c1fb1e947cd42ed0f9cde875768f979bdaa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-07T08:59:39Z",
    "title_canon_sha256": "7ac7ff4e7e7240925d24ef6e17b9455eeb27711c6e5efeff1ea72175501a7fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02325",
    "kind": "arxiv",
    "version": 1
  }
}