Pith Number

pith:2NQ5EF52

pith:2020:2NQ5EF52IRYBCJYCCFTSAVBGD3

not attested not anchored not stored refs pending

Intelligent Reflecting Surface Aided Wireless Communications: A Tutorial

Beixiong Zheng, Changsheng You, Qingqing Wu, Rui Zhang, Shuowen Zhang

arxiv:2007.02759 v2 · 2020-07-06 · cs.IT · cs.LG · cs.NI · 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{2NQ5EF52IRYBCJYCCFTSAVBGD3}

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	2026-07-05T01:16:58.288064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d361d217ba447011270211672054261ec579c098de54616d62403c14d35013db

Aliases

arxiv: 2007.02759 · arxiv_version: 2007.02759v2 · doi: 10.48550/arxiv.2007.02759 · pith_short_12: 2NQ5EF52IRYB · pith_short_16: 2NQ5EF52IRYBCJYC · pith_short_8: 2NQ5EF52

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/2NQ5EF52IRYBCJYCCFTSAVBGD3 \
  | 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: d361d217ba447011270211672054261ec579c098de54616d62403c14d35013db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b739a7c5f3f2615961cce9bc2f6c8bf74c4afed7d366fa9400675ea7a9e64474",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-07-06T13:59:09Z",
    "title_canon_sha256": "1532c059e02c8ea6a7ae9ce6d5c9e59669325ec3447c3249d88ba520d1230f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.02759",
    "kind": "arxiv",
    "version": 2
  }
}