Pith Number

pith:7REG4RED

pith:2011:7REG4REDHGHRRTZ46EJHG5XAU3

not attested not anchored not stored refs pending

Grassmannian Predictive Coding for Limited Feedback in Multiple Antenna Wireless Systems

Robert W. Heath Jr, Takao Inoue

arxiv:1105.5782 v1 · 2011-05-29 · 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{7REG4REDHGHRRTZ46EJHG5XAU3}

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	2026-05-18T04:21:01.576161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc486e4483398f18cf3cf1127376e0a6cff755f07d1443954fc05b6678e49bd4

Aliases

arxiv: 1105.5782 · arxiv_version: 1105.5782v1 · doi: 10.48550/arxiv.1105.5782 · pith_short_12: 7REG4REDHGHR · pith_short_16: 7REG4REDHGHRRTZ4 · pith_short_8: 7REG4RED

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/7REG4REDHGHRRTZ46EJHG5XAU3 \
  | 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: fc486e4483398f18cf3cf1127376e0a6cff755f07d1443954fc05b6678e49bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ad580d362a8e79c7649658b4fe5eec230fff7f97393f97d0041ea7bff2b3f5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-05-29T12:29:16Z",
    "title_canon_sha256": "df7eb9383c1d7f54758c568d94b0f4e901e92d5078693636538eeeb212fc208c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5782",
    "kind": "arxiv",
    "version": 1
  }
}