Pith Number

pith:ZRNIZFY7

pith:2021:ZRNIZFY7XANNL6KJFOHEND3WBX

not attested not anchored not stored refs pending

Dual-Functional Radar-Communication Waveform Design: A Symbol-Level Precoding Approach

A. Lee Swindlehurst, Ming Li, Qian Liu, Rang Liu

arxiv:2108.05043 v1 · 2021-08-11 · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRNIZFY7XANNL6KJFOHEND3WBX}

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	2026-07-05T03:50:50.412868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc5a8c971fb81ad5f9492b8e468f760df3259b4aa1c7f886da36fe8e8e35db2c

Aliases

arxiv: 2108.05043 · arxiv_version: 2108.05043v1 · doi: 10.48550/arxiv.2108.05043 · pith_short_12: ZRNIZFY7XANN · pith_short_16: ZRNIZFY7XANNL6KJ · pith_short_8: ZRNIZFY7

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/ZRNIZFY7XANNL6KJFOHEND3WBX \
  | 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: cc5a8c971fb81ad5f9492b8e468f760df3259b4aa1c7f886da36fe8e8e35db2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b780786586725cae3b410e7d6a2fa1cc4aafe5541138ead64e7856a18a885d9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2021-08-11T05:44:38Z",
    "title_canon_sha256": "a567c4bb6a53c2c1826f343676f1d8c90a2913c1164f82fbd566c203e61643b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.05043",
    "kind": "arxiv",
    "version": 1
  }
}