Pith Number

pith:TJ5JG5GF

pith:2010:TJ5JG5GFTRYYJEG3RLM5PVT22C

not attested not anchored not stored refs pending

Precoding by Pairing Subchannels to Increase MIMO Capacity with Discrete Input Alphabets

Ananthanarayanan Chockalingam, Emanuele Viterbo, Saif Khan Mohammed, Yi Hong

arxiv:1002.4263 v1 · 2010-02-23 · 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{TJ5JG5GFTRYYJEG3RLM5PVT22C}

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	2026-05-18T00:58:47.703168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a7a9374c59c718490db8ad9d7d67ad09e87a28d6f0e476bd2a66a6cbc6c9c57

Aliases

arxiv: 1002.4263 · arxiv_version: 1002.4263v1 · doi: 10.48550/arxiv.1002.4263 · pith_short_12: TJ5JG5GFTRYY · pith_short_16: TJ5JG5GFTRYYJEG3 · pith_short_8: TJ5JG5GF

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/TJ5JG5GFTRYYJEG3RLM5PVT22C \
  | 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: 9a7a9374c59c718490db8ad9d7d67ad09e87a28d6f0e476bd2a66a6cbc6c9c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9d4c50913589447b75dee691f1d554fc470a55c2bfede1e9c7d4a6d20e47fb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-02-23T08:03:36Z",
    "title_canon_sha256": "7093c30014a2f7277045cd0781206f2d237bfd82adc85dcf28625080cb8d25bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4263",
    "kind": "arxiv",
    "version": 1
  }
}