Pith Number

pith:STAQEH54

pith:2014:STAQEH54CUMUTYS3BJMTF4B45X

not attested not anchored not stored refs pending

A New DoF Upper Bound and Its Achievability for $K$-User MIMO Y Channels

Kangqi Liu, Meixia Tao

arxiv:1409.8061 v2 · 2014-09-29 · 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{STAQEH54CUMUTYS3BJMTF4B45X}

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	2026-05-18T00:23:02.201615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94c1021fbc151949e25b0a5932f03cedda00d2d1ae48570ac11d252848037696

Aliases

arxiv: 1409.8061 · arxiv_version: 1409.8061v2 · doi: 10.48550/arxiv.1409.8061 · pith_short_12: STAQEH54CUMU · pith_short_16: STAQEH54CUMUTYS3 · pith_short_8: STAQEH54

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/STAQEH54CUMUTYS3BJMTF4B45X \
  | 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: 94c1021fbc151949e25b0a5932f03cedda00d2d1ae48570ac11d252848037696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d47b971d5dee042ca99654af516f940c1b08809fe57d3be790cd1f4f3577951a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-29T10:31:09Z",
    "title_canon_sha256": "538d89b70c288c1b9e9e51f56165ab672da85224524b8a6eb1536c30e264b70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8061",
    "kind": "arxiv",
    "version": 2
  }
}