Pith Number

pith:3MMKS2KJ

pith:2026:3MMKS2KJFFIQKQAAGBA3C6BK2U

not attested not anchored not stored refs pending

Unlocking Directional Radiation in Pinching-Antenna Systems: Geometry-Aware Design and Experimental Verification

Gaojie Chen, Haoyang Li, Weidong Liu, Zheng Yang, Zhiguo Ding, Zhongliang Li

arxiv:2607.24011 v1 · 2026-07-27 · eess.SY · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MMKS2KJFFIQKQAAGBA3C6BK2U}

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	2026-07-28T01:23:40.994484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db18a9694929510540003041b1782ad50dffab5cb12ab0232753ca6f1b7fbcb8

Aliases

arxiv: 2607.24011 · arxiv_version: 2607.24011v1 · doi: 10.48550/arxiv.2607.24011 · pith_short_12: 3MMKS2KJFFIQ · pith_short_16: 3MMKS2KJFFIQKQAA · pith_short_8: 3MMKS2KJ

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/3MMKS2KJFFIQKQAAGBA3C6BK2U \
  | 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: db18a9694929510540003041b1782ad50dffab5cb12ab0232753ca6f1b7fbcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a5b7d1f15093c5eb0f996046ff3a300e9cececeb849a805f98a737cea583b1",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-07-27T05:17:58Z",
    "title_canon_sha256": "8e689a34db15dbf9b0fa5bdd3ef140feee04191ffce4c00bfbb92b4db3b9f08f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24011",
    "kind": "arxiv",
    "version": 1
  }
}