Pith Number

pith:UMR7TV6Y

pith:2012:UMR7TV6YAYMJD5MGAHFTQ5IDPC

not attested not anchored not stored refs pending

Eigen-Direction Alignment Based Physical-Layer Network Coding for MIMO Two-Way Relay Channels

Iain B. Collings, Jinhong Yuan, Li Ping, Tao Yang, Xiaojun Yuan

arxiv:1201.2471 v2 · 2012-01-12 · 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{UMR7TV6YAYMJD5MGAHFTQ5IDPC}

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	2026-05-18T03:54:47.700820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a323f9d7d8061891f58601cb38750378b56b8becbd590ad24ff7374c2c438347

Aliases

arxiv: 1201.2471 · arxiv_version: 1201.2471v2 · doi: 10.48550/arxiv.1201.2471 · pith_short_12: UMR7TV6YAYMJ · pith_short_16: UMR7TV6YAYMJD5MG · pith_short_8: UMR7TV6Y

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/UMR7TV6YAYMJD5MGAHFTQ5IDPC \
  | 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: a323f9d7d8061891f58601cb38750378b56b8becbd590ad24ff7374c2c438347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f14247d1075a5298bd38fe7f5bae6dd28623029dd680c0e99bf4b863167e91c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-12T03:57:33Z",
    "title_canon_sha256": "74f9f9b10a268d3800aca6e9ba653ee86be44c2495255635aef5a959980aacc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2471",
    "kind": "arxiv",
    "version": 2
  }
}