Pith Number

pith:OYEODFHG

pith:2017:OYEODFHG5QWOIOCVRNPXJVXSFD

not attested not anchored not stored refs pending

Multigroup Multicast Precoding in Massive MIMO

Chau Yuen, Emil Bj\"ornson, Erik G. Larsson, Meysam Sadeghi, Thomas L. Marzetta

arxiv:1709.07721 v1 · 2017-09-22 · 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{OYEODFHG5QWOIOCVRNPXJVXSFD}

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	2026-05-18T00:34:32.479501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7608e194e6ec2ce438558b5f74d6f228d4d61bc0561a8f564204246f577ca020

Aliases

arxiv: 1709.07721 · arxiv_version: 1709.07721v1 · doi: 10.48550/arxiv.1709.07721 · pith_short_12: OYEODFHG5QWO · pith_short_16: OYEODFHG5QWOIOCV · pith_short_8: OYEODFHG

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/OYEODFHG5QWOIOCVRNPXJVXSFD \
  | 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: 7608e194e6ec2ce438558b5f74d6f228d4d61bc0561a8f564204246f577ca020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87c852c272b76f6ac7779d430413a7fff17345c94c6414c0233743d20df255f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-09-22T12:45:02Z",
    "title_canon_sha256": "45e50607ab3b687e94ed408e848957457f493ad20b8b524287311943dacb2d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07721",
    "kind": "arxiv",
    "version": 1
  }
}