Pith Number

pith:I2WP3NFT

pith:2022:I2WP3NFTIPTCFYXB7VLI6UTV4H

not attested not anchored not stored refs pending

On the Fundamental Tradeoff of Integrated Sensing and Communications Under Gaussian Channels

Fan Liu, Giuseppe Caire, Tony Xiao Han, Weijie Yuan, Yifeng Xiong, Yuanhao Cui

arxiv:2204.06938 v8 · 2022-04-14 · 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{I2WP3NFTIPTCFYXB7VLI6UTV4H}

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	2026-07-05T06:18:16.285826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46acfdb4b343e622e2e1fd568f5275e1cb94c728240dc1798014804f8dea516b

Aliases

arxiv: 2204.06938 · arxiv_version: 2204.06938v8 · doi: 10.48550/arxiv.2204.06938 · pith_short_12: I2WP3NFTIPTC · pith_short_16: I2WP3NFTIPTCFYXB · pith_short_8: I2WP3NFT

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/I2WP3NFTIPTCFYXB7VLI6UTV4H \
  | 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: 46acfdb4b343e622e2e1fd568f5275e1cb94c728240dc1798014804f8dea516b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ab59c614022a02d65bbbe14d2139350be398ca7ed324f22aadf315ad1ae670",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-04-14T13:10:03Z",
    "title_canon_sha256": "1630363e3cf475e5ddaa1c115bb4266466801baaac6795c2c4032a200e96a716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.06938",
    "kind": "arxiv",
    "version": 8
  }
}