Pith Number

pith:L4F5DD3X

pith:2020:L4F5DD3X355KMHUEQF7FLCCZVT

not attested not anchored not stored refs pending

Over-the-Air Computation Systems: Optimal Design with Sum-Power Constraint

Branka Vucetic, Wanchun Liu, Xin Zang, Yonghui Li

arxiv:2005.09139 v1 · 2020-05-19 · cs.IT · cs.SY · eess.SP · eess.SY · 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{L4F5DD3X355KMHUEQF7FLCCZVT}

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	2026-07-05T09:27:46.489712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0bd18f77df7aa61e84817e558859acf139ea53314ec018bd9e5dd71ce38f34

Aliases

arxiv: 2005.09139 · arxiv_version: 2005.09139v1 · doi: 10.48550/arxiv.2005.09139 · pith_short_12: L4F5DD3X355K · pith_short_16: L4F5DD3X355KMHUE · pith_short_8: L4F5DD3X

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/L4F5DD3X355KMHUEQF7FLCCZVT \
  | 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: 5f0bd18f77df7aa61e84817e558859acf139ea53314ec018bd9e5dd71ce38f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd1b1cf50e00bfc947c53c402dec5a6e200fe9e2068414446093124c60fa7b9",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SP",
      "eess.SY",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-05-19T00:01:57Z",
    "title_canon_sha256": "0b1d6edf087c1d137ac0e5251ebadf76db20da7eaa8590d2b85a2721a7a5f242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.09139",
    "kind": "arxiv",
    "version": 1
  }
}