Pith Number

pith:GN57OETP

pith:2011:GN57OETPQ5BSWGU7HCU2HAQBKQ

not attested not anchored not stored refs pending

Multi-User MIMO with outdated CSI: Training, Feedback and Scheduling

Ansuman Adhikary, Giuseppe Caire, Haralabos C. Papadopoulos, Sean A. Ramprashad

arxiv:1109.6371 v1 · 2011-09-29 · 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{GN57OETPQ5BSWGU7HCU2HAQBKQ}

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	2026-05-18T04:12:01.687797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

337bf7126f87432b1a9f38a9a3820154373e81e2d78155e23cd84b8a636fa815

Aliases

arxiv: 1109.6371 · arxiv_version: 1109.6371v1 · doi: 10.48550/arxiv.1109.6371 · pith_short_12: GN57OETPQ5BS · pith_short_16: GN57OETPQ5BSWGU7 · pith_short_8: GN57OETP

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/GN57OETPQ5BSWGU7HCU2HAQBKQ \
  | 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: 337bf7126f87432b1a9f38a9a3820154373e81e2d78155e23cd84b8a636fa815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3363f2b22e934bc47095a2598aa19993e5729d7d19d2dded6050533fc6e5c7e3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-29T00:06:19Z",
    "title_canon_sha256": "654373e27c3a6da7a4627f7edd15b4da2fcf78ca3c289e902e9bb8f43eab6b68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6371",
    "kind": "arxiv",
    "version": 1
  }
}