Pith Number

pith:MGT2NK5J

pith:2014:MGT2NK5JY2KFODDWOMBQEDUVW6

not attested not anchored not stored refs pending

Generalized Signal Alignment: On the Achievable DoF for Multi-User MIMO Two-Way Relay Channels

Kangqi Liu, Meixia Tao

arxiv:1405.0718 v3 · 2014-05-04 · 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{MGT2NK5JY2KFODDWOMBQEDUVW6}

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	2026-05-18T00:23:02.257201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a7a6aba9c694570c767303020e95b7be718f9b15c5194aad8093fd653f152f

Aliases

arxiv: 1405.0718 · arxiv_version: 1405.0718v3 · doi: 10.48550/arxiv.1405.0718 · pith_short_12: MGT2NK5JY2KF · pith_short_16: MGT2NK5JY2KFODDW · pith_short_8: MGT2NK5J

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/MGT2NK5JY2KFODDWOMBQEDUVW6 \
  | 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: 61a7a6aba9c694570c767303020e95b7be718f9b15c5194aad8093fd653f152f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689d5fbc4348d7fc246f208f28a7f42305f85125adf5fca8258baa2c1c575f35",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-05-04T17:11:01Z",
    "title_canon_sha256": "df4c8bf4ddaeffcf7d3112c6d1f595cfd385eee695054a078e1afe3083e74212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0718",
    "kind": "arxiv",
    "version": 3
  }
}