Pith Number

pith:C6FD5LID

pith:2009:C6FD5LID4WEYBZOUSAAW6ODT3D

not attested not anchored not stored refs pending

Beamforming in MISO Systems: Empirical Results and EVM-based Analysis

Ashutosh Sabharwal, Chris Dick, Melissa Duarte, Raghu Rao

arxiv:0912.0756 v1 · 2009-12-03 · 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{C6FD5LID4WEYBZOUSAAW6ODT3D}

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	2026-05-18T00:59:11.139135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178a3ead03e58980e5d490016f3873d8ed861fc2df8b276358e987b6c53e4e58

Aliases

arxiv: 0912.0756 · arxiv_version: 0912.0756v1 · doi: 10.48550/arxiv.0912.0756 · pith_short_12: C6FD5LID4WEY · pith_short_16: C6FD5LID4WEYBZOU · pith_short_8: C6FD5LID

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/C6FD5LID4WEYBZOUSAAW6ODT3D \
  | 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: 178a3ead03e58980e5d490016f3873d8ed861fc2df8b276358e987b6c53e4e58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4e6646e5b3395f13c062f342f244260cddeada206329b11b1c85f76cfd8fee",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-12-03T23:27:07Z",
    "title_canon_sha256": "b1b651dd378611b6f5b398bb61d27d83384da11cde70ced40fe546561799e51c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0756",
    "kind": "arxiv",
    "version": 1
  }
}