Pith Number

pith:IZVM27HB

pith:2021:IZVM27HBIHTZM24LJ3CKLSMRFU

not attested not anchored not stored refs pending

Optimal Transmit Beamforming for Integrated Sensing and Communication

Haocheng Hua, Jie Xu, Tony Xiao Han

arxiv:2104.11871 v4 · 2021-04-24 · 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{IZVM27HBIHTZM24LJ3CKLSMRFU}

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	2026-07-05T05:54:25.876585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466acd7ce141e7966b8b4ec4a5c9912d050db5197922f11f7bfb17dff1947f1a

Aliases

arxiv: 2104.11871 · arxiv_version: 2104.11871v4 · doi: 10.48550/arxiv.2104.11871 · pith_short_12: IZVM27HBIHTZ · pith_short_16: IZVM27HBIHTZM24L · pith_short_8: IZVM27HB

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/IZVM27HBIHTZM24LJ3CKLSMRFU \
  | 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: 466acd7ce141e7966b8b4ec4a5c9912d050db5197922f11f7bfb17dff1947f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50fa9c5f8f998f6678dab9adbdc73dd89840871c014286ae8c8691c5042a6a91",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-04-24T03:16:58Z",
    "title_canon_sha256": "2eabcd4cf583e24884896931ddae9e360b15fccbc52130c403fcf24c4311f4d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11871",
    "kind": "arxiv",
    "version": 4
  }
}