Pith Number

pith:NKK4MS7G

pith:2011:NKK4MS7GAFKVWQIR5SD7AQCTVF

not attested not anchored not stored refs pending

Grassmannian Differential Limited Feedback for Interference Alignment

Omar El Ayach, Robert W. Heath Jr

arxiv:1111.4596 v2 · 2011-11-20 · 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{NKK4MS7GAFKVWQIR5SD7AQCTVF}

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	2026-05-18T01:59:28.921626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a95c64be601555b4111ec87f04053a97976a9fa1c45b436832ba8add1676316

Aliases

arxiv: 1111.4596 · arxiv_version: 1111.4596v2 · doi: 10.48550/arxiv.1111.4596 · pith_short_12: NKK4MS7GAFKV · pith_short_16: NKK4MS7GAFKVWQIR · pith_short_8: NKK4MS7G

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/NKK4MS7GAFKVWQIR5SD7AQCTVF \
  | 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: 6a95c64be601555b4111ec87f04053a97976a9fa1c45b436832ba8add1676316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc101953234ae38b81a18960be91b67442133ab3b57349802ad4d0d521331cf",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-20T00:06:59Z",
    "title_canon_sha256": "cf11421d53cfb7d485ac01e1007c5804f4b0466ee29100242f043e62ff789e9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4596",
    "kind": "arxiv",
    "version": 2
  }
}