Pith Number

pith:CHKDF6BI

pith:2011:CHKDF6BI4SHCNJKJ6SMBB5UV7J

not attested not anchored not stored refs pending

Statistical Beamforming on the Grassmann Manifold for the Two-User Broadcast Channel

Stephen Hanly, Vasanthan Raghavan, Venugopal Veeravalli

arxiv:1104.2116 v1 · 2011-04-12 · cs.IT · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHKDF6BI4SHCNJKJ6SMBB5UV7J}

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	2026-05-18T00:59:10.373837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11d432f828e48e26a549f49810f695fa689f21f806071f5f9647777e24ab7dba

Aliases

arxiv: 1104.2116 · arxiv_version: 1104.2116v1 · doi: 10.48550/arxiv.1104.2116 · pith_short_12: CHKDF6BI4SHC · pith_short_16: CHKDF6BI4SHCNJKJ · pith_short_8: CHKDF6BI

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/CHKDF6BI4SHCNJKJ6SMBB5UV7J \
  | 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: 11d432f828e48e26a549f49810f695fa689f21f806071f5f9647777e24ab7dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ca24a1e626acc26462af3fc2a1c3de9dcba3b05f6f298bab913a5db99828e9",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-04-12T06:02:46Z",
    "title_canon_sha256": "c1185337f66ab55c3b473931812c4effc5196e2b1fcc5b04ff1d9f31a6ae1ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2116",
    "kind": "arxiv",
    "version": 1
  }
}