Pith Number

pith:GOCFUDMH

pith:2015:GOCFUDMHONMFTOSRQG37EEVFFS

not attested not anchored not stored refs pending

Hybrid Analog-Digital Channel Estimation and Beamforming: Training-Throughput Tradeoff

Long Bao, Tadilo Endeshaw Bogale, Xianbin Wang

arxiv:1509.05091 v2 · 2015-09-17 · 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{GOCFUDMHONMFTOSRQG37EEVFFS}

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	2026-05-18T00:58:57.809102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33845a0d87735859ba5181b7f212a52caf3173aa85028b8219bee8487dd8e4e2

Aliases

arxiv: 1509.05091 · arxiv_version: 1509.05091v2 · doi: 10.48550/arxiv.1509.05091 · pith_short_12: GOCFUDMHONMF · pith_short_16: GOCFUDMHONMFTOSR · pith_short_8: GOCFUDMH

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/GOCFUDMHONMFTOSRQG37EEVFFS \
  | 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: 33845a0d87735859ba5181b7f212a52caf3173aa85028b8219bee8487dd8e4e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a370da245786ca45b2f267601e6f060563fe4de44500fbf1f28e7532063e13",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-17T01:01:14Z",
    "title_canon_sha256": "9437b93a6ae1c3884d08be27477fb470813d3a46ff4cf0af499c84cf92df45cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05091",
    "kind": "arxiv",
    "version": 2
  }
}