Pith Number

pith:ELSPDKQT

pith:2025:ELSPDKQTMTWT35AYVET5F7TUHI

not attested not anchored not stored refs pending

Uplink-Downlink Duality for Beamforming in Integrated Sensing and Communications

Kareem M. Attiah, Wei Yu

arxiv:2509.13661 v2 · 2025-09-17 · 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{ELSPDKQTMTWT35AYVET5F7TUHI}

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	2026-05-17T23:39:17.506564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e4f1aa1364ed3df418a927d2fe743a0e6e117468bc8fd51aaa6e77db6d540d

Aliases

arxiv: 2509.13661 · arxiv_version: 2509.13661v2 · doi: 10.48550/arxiv.2509.13661 · pith_short_12: ELSPDKQTMTWT · pith_short_16: ELSPDKQTMTWT35AY · pith_short_8: ELSPDKQT

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/ELSPDKQTMTWT35AYVET5F7TUHI \
  | 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: 22e4f1aa1364ed3df418a927d2fe743a0e6e117468bc8fd51aaa6e77db6d540d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86609d95477de0cf8956fd2fbb279f5d2ce8ccdacf8b0efd9cedd127d6edfeb5",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-09-17T03:28:42Z",
    "title_canon_sha256": "6b73f87d62376c9122b12881f2f7a5dcf709e1494b842b2150a9e0edd21ee058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.13661",
    "kind": "arxiv",
    "version": 2
  }
}