Pith Number

pith:3RHF3Q5E

pith:2020:3RHF3Q5EN6HFM4T54YL3CCYQKF

not attested not anchored not stored refs pending

Learning-Based Massive Beamforming

Qingjiang Shi, Shengjie Zhao, Siyuan Lu

arxiv:2009.09406 v1 · 2020-09-20 · eess.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RHF3Q5EN6HFM4T54YL3CCYQKF}

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	2026-07-05T01:36:37.641467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4e5dc3a46f8e56727de617b10b10516a0fb96f19580bed37e3ff89c6d7a242

Aliases

arxiv: 2009.09406 · arxiv_version: 2009.09406v1 · doi: 10.48550/arxiv.2009.09406 · pith_short_12: 3RHF3Q5EN6HF · pith_short_16: 3RHF3Q5EN6HFM4T5 · pith_short_8: 3RHF3Q5E

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/3RHF3Q5EN6HFM4T54YL3CCYQKF \
  | 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: dc4e5dc3a46f8e56727de617b10b10516a0fb96f19580bed37e3ff89c6d7a242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d8c7df9259f73c1adc186e919655d8d9dadee1fb4ccd5af2db0052156c55a7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2020-09-20T10:39:29Z",
    "title_canon_sha256": "260be1a4ab799b601ada1637c9dad11648c6743e543ebbe705b74f9be9cf0f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09406",
    "kind": "arxiv",
    "version": 1
  }
}