Pith Number

pith:FBJTEJMK

pith:2013:FBJTEJMKJHIFF5CST6YVGCFYFW

not attested not anchored not stored refs pending

Joint Space Decomposition-and-Synthesis Theory for K-User MIMO Channels: Interference Alignment and DoF Region

Jiayi Chen, Q. T. Zhang

arxiv:1305.4682 v2 · 2013-05-21 · 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{FBJTEJMKJHIFF5CST6YVGCFYFW}

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	2026-05-18T03:16:28.367075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285332258a49d052f4529fb15308b82dafb80d518f7127e63629e6d4f39cfa95

Aliases

arxiv: 1305.4682 · arxiv_version: 1305.4682v2 · doi: 10.48550/arxiv.1305.4682 · pith_short_12: FBJTEJMKJHIF · pith_short_16: FBJTEJMKJHIFF5CS · pith_short_8: FBJTEJMK

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/FBJTEJMKJHIFF5CST6YVGCFYFW \
  | 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: 285332258a49d052f4529fb15308b82dafb80d518f7127e63629e6d4f39cfa95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0aed15c25ac3700bcd748ebb04530d9ccee43584ccd91b28a3e88518e530b9e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-05-21T00:34:25Z",
    "title_canon_sha256": "2c531e5baafef4fb648998e22cfa1dd4644368595dfd65a5d48abf38f0515192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4682",
    "kind": "arxiv",
    "version": 2
  }
}