Pith Number

pith:W2DKRPYF

pith:2014:W2DKRPYFZ7TMUPQ6CVMZVFUXBB

not attested not anchored not stored refs pending

AMMSE Optimization for Multiuser MISO Systems with Imperfect CSIT and Perfect CSIR

Bruno Clerckx, Hamdi Joudeh

arxiv:1409.5886 v1 · 2014-09-20 · 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{W2DKRPYFZ7TMUPQ6CVMZVFUXBB}

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	2026-05-18T00:59:02.554833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b686a8bf05cfe6ca3e1e15599a96970840a3a0334e9ab300c334d0ecf33f71e2

Aliases

arxiv: 1409.5886 · arxiv_version: 1409.5886v1 · doi: 10.48550/arxiv.1409.5886 · pith_short_12: W2DKRPYFZ7TM · pith_short_16: W2DKRPYFZ7TMUPQ6 · pith_short_8: W2DKRPYF

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/W2DKRPYFZ7TMUPQ6CVMZVFUXBB \
  | 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: b686a8bf05cfe6ca3e1e15599a96970840a3a0334e9ab300c334d0ecf33f71e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8952fe3c50b41adcdfc7f7ebf51a839fb138d68ae021a7050378f92377d9512",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-20T13:36:04Z",
    "title_canon_sha256": "cb0b8a980c95a88d10725d79fb6c2f3dd36cac60625a9755e2a271963e6c7281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5886",
    "kind": "arxiv",
    "version": 1
  }
}