Pith Number

pith:M5Z25JFA

pith:2026:M5Z25JFAZ2SFSJ3SDFPWSGWEQW

not attested not anchored not stored refs pending

LAWNs Meet SWIPT: Beamforming and Power Splitting Optimization for Predictive Control

Jun Wu, Nanchi Su, Weijie Yuan, Wenchao Liu

arxiv:2606.22534 v1 · 2026-06-21 · 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{M5Z25JFAZ2SFSJ3SDFPWSGWEQW}

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	2026-06-23T02:13:40.969999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6773aea4a0cea4592772195f691ac48580fe37919f051eb045b85383d603cc69

Aliases

arxiv: 2606.22534 · arxiv_version: 2606.22534v1 · doi: 10.48550/arxiv.2606.22534 · pith_short_12: M5Z25JFAZ2SF · pith_short_16: M5Z25JFAZ2SFSJ3S · pith_short_8: M5Z25JFA

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/M5Z25JFAZ2SFSJ3SDFPWSGWEQW \
  | 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: 6773aea4a0cea4592772195f691ac48580fe37919f051eb045b85383d603cc69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364bb579601b8d32b6be366ab790270abd87b8c37fad35c1d05b2355d99b58b5",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-06-21T14:45:56Z",
    "title_canon_sha256": "56f077547f2e4bf2d0a4077667ee03de0c25a98b87c7f4bc02a1cfde7c1ef340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22534",
    "kind": "arxiv",
    "version": 1
  }
}