Pith Number

pith:4WNJX7ID

pith:2010:4WNJX7ID75LXEKEOULE5E6JNTL

not attested not anchored not stored refs pending

Transmit Signal and Bandwidth Optimization in Multiple-Antenna Relay Channels

Chris T. K. Ng, Gerard J. Foschini

arxiv:1001.2938 v1 · 2010-01-18 · 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{4WNJX7ID75LXEKEOULE5E6JNTL}

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	2026-05-18T04:07:29.423580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59a9bfd03ff5772288ea2c9d2792d9accb2dd90bbd951ac880f9a1103d0cfbd

Aliases

arxiv: 1001.2938 · arxiv_version: 1001.2938v1 · doi: 10.48550/arxiv.1001.2938 · pith_short_12: 4WNJX7ID75LX · pith_short_16: 4WNJX7ID75LXEKEO · pith_short_8: 4WNJX7ID

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/4WNJX7ID75LXEKEOULE5E6JNTL \
  | 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: e59a9bfd03ff5772288ea2c9d2792d9accb2dd90bbd951ac880f9a1103d0cfbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b107d30cf4c855f8e847a9a73c92419b23a5d55599217a22db875fdcdc6c9390",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-18T02:14:04Z",
    "title_canon_sha256": "329353b5fa4345fae0c665cb32f600ccd49bc9b481a4272cf82169db2a375652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2938",
    "kind": "arxiv",
    "version": 1
  }
}