Pith Number

pith:2DOECEVE

pith:2016:2DOECEVELPMCREOMIYBNH2BHUI

not attested not anchored not stored refs pending

Robust MIMO Beamforming for Cellular and Radar Coexistence

Ang Li, Christos Masouros, Fan Liu, Tharmalingam Ratnarajah

arxiv:1612.03788 v4 · 2016-12-12 · 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{2DOECEVELPMCREOMIYBNH2BHUI}

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	2026-05-18T00:41:07.632095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0dc4112a45bd82891cc4602d3e827a231e4588ccaba219caaa8735037fd1966

Aliases

arxiv: 1612.03788 · arxiv_version: 1612.03788v4 · doi: 10.48550/arxiv.1612.03788 · pith_short_12: 2DOECEVELPMC · pith_short_16: 2DOECEVELPMCREOM · pith_short_8: 2DOECEVE

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/2DOECEVELPMCREOMIYBNH2BHUI \
  | 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: d0dc4112a45bd82891cc4602d3e827a231e4588ccaba219caaa8735037fd1966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701380c14e68eb9041d8e7df65e1207c613cad88682e5e4c3f6d8f8c78b7d6fa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-12T17:05:59Z",
    "title_canon_sha256": "17011b24a704029f475a1ef87cb88aec20bece010c95789bf80f42ee55a65c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03788",
    "kind": "arxiv",
    "version": 4
  }
}