Pith Number

pith:YF7T3SED

pith:2014:YF7T3SEDCDZQ7PJSHCY743UDPM

not attested not anchored not stored refs pending

Normalized Volume of Hyperball in Complex Grassmann Manifold and Its Application in Large-Scale MU-MIMO Communication Systems

Boyu Li, Dengkui Zhu, Ping Liang

arxiv:1402.4543 v1 · 2014-02-19 · 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{YF7T3SEDCDZQ7PJSHCY743UDPM}

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	2026-05-18T02:58:33.963373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17f3dc88310f30fbd3238b1fe6e837b375696a4c328d9f0be7bdb5c68fd12a0

Aliases

arxiv: 1402.4543 · arxiv_version: 1402.4543v1 · doi: 10.48550/arxiv.1402.4543 · pith_short_12: YF7T3SEDCDZQ · pith_short_16: YF7T3SEDCDZQ7PJS · pith_short_8: YF7T3SED

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/YF7T3SEDCDZQ7PJSHCY743UDPM \
  | 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: c17f3dc88310f30fbd3238b1fe6e837b375696a4c328d9f0be7bdb5c68fd12a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5170d1cf17e1a0e39af0509f68f60f05dc8b9b63ea952b001839a450a1bfc19f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-02-19T01:35:40Z",
    "title_canon_sha256": "f25b61b81bc7d967ff73f755fc6ec3f3e9f648df0b2a56cc2af5c0fc813375d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4543",
    "kind": "arxiv",
    "version": 1
  }
}