Pith Number

pith:PSJYXFSI

pith:2012:PSJYXFSIYSFJLCS2BOSYBCKTGE

not attested not anchored not stored refs pending

Large-System Analysis of Joint User Selection and Vector Precoding with Zero-Forcing Transmit Beamforming for MIMO Broadcast Channels

Keigo Takeuchi, Ralf R. Mueller, Tsutomu Kawabata

arxiv:1203.4882 v2 · 2012-03-22 · 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{PSJYXFSIYSFJLCS2BOSYBCKTGE}

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	2026-05-18T03:57:38.466621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c938b9648c48a958a5a0ba5808953310c6a562dbb3138cee0981efa79fcba30

Aliases

arxiv: 1203.4882 · arxiv_version: 1203.4882v2 · doi: 10.48550/arxiv.1203.4882 · pith_short_12: PSJYXFSIYSFJ · pith_short_16: PSJYXFSIYSFJLCS2 · pith_short_8: PSJYXFSI

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/PSJYXFSIYSFJLCS2BOSYBCKTGE \
  | 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: 7c938b9648c48a958a5a0ba5808953310c6a562dbb3138cee0981efa79fcba30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d183aff02819c54e5af0cae2ef3780b44e380cc56f1ba6f4e2f96f5c329646e3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-03-22T04:22:46Z",
    "title_canon_sha256": "ebf710476c37ffd9784847341156dd324ccc78f2d76443697eb30dc5d654e94d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4882",
    "kind": "arxiv",
    "version": 2
  }
}