Pith Number

pith:CR3M3Z7V

pith:2012:CR3M3Z7VOQRSUXI3D26FCDWQTL

not attested not anchored not stored refs pending

Diophantine Approach to Blind Interference Alignment of Homogeneous K-user 2x1 MISO Broadcast Channels

Francis C. M. Lau, Qing F. Zhou, Q. T. Zhang

arxiv:1209.3137 v2 · 2012-09-14 · 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{CR3M3Z7VOQRSUXI3D26FCDWQTL}

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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	2026-05-18T03:29:38.595351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1476cde7f574232a5d1b1ebc510ed09aeafd575230c4cb1d6e50b78c8368c8e9

Aliases

arxiv: 1209.3137 · arxiv_version: 1209.3137v2 · doi: 10.48550/arxiv.1209.3137 · pith_short_12: CR3M3Z7VOQRS · pith_short_16: CR3M3Z7VOQRSUXI3 · pith_short_8: CR3M3Z7V

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/CR3M3Z7VOQRSUXI3D26FCDWQTL \
  | 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: 1476cde7f574232a5d1b1ebc510ed09aeafd575230c4cb1d6e50b78c8368c8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c03761a7b57bf19ff321a5578b6f95d8e3465b743c320fb77798a0c62eb092c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-14T09:27:40Z",
    "title_canon_sha256": "1a3bd65a80cf28486892e99cc658caf09b96f710c9fa4370589230ed3eb2bd4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3137",
    "kind": "arxiv",
    "version": 2
  }
}