Pith Number

pith:QV2BY3ZW

pith:2021:QV2BY3ZWPPHRJIMCPF5PXYIGYQ

not attested not anchored not stored refs pending

Distributed Beam Training for Intelligent Reflecting Surface Enabled Multi-Hop Routing

Rui Zhang, Weidong Mei

arxiv:2106.11896 v2 · 2021-06-22 · cs.IT · eess.SP · 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{QV2BY3ZWPPHRJIMCPF5PXYIGYQ}

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	2026-07-05T03:05:02.936906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85741c6f367bcf14a182797afbe106c40fd97a083d2afeaf8c9184865b5b31ba

Aliases

arxiv: 2106.11896 · arxiv_version: 2106.11896v2 · doi: 10.48550/arxiv.2106.11896 · pith_short_12: QV2BY3ZWPPHR · pith_short_16: QV2BY3ZWPPHRJIMC · pith_short_8: QV2BY3ZW

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/QV2BY3ZWPPHRJIMCPF5PXYIGYQ \
  | 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: 85741c6f367bcf14a182797afbe106c40fd97a083d2afeaf8c9184865b5b31ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b992c4dc8eabf89ac1d07c714bb6803e4b82ed17950b364c80343a0637e9d1",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-06-22T16:04:34Z",
    "title_canon_sha256": "fc8eaf09ceef162f3b6de7bf50830a02112c9575a774f7d1f8e26fc85c7627a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11896",
    "kind": "arxiv",
    "version": 2
  }
}