Pith Number

pith:VPQUZFE4

pith:2012:VPQUZFE4KUNCQWPRMHONLPRM6C

not attested not anchored not stored refs pending

Optimal Coordinated Beamforming in the Multicell Downlink with Transceiver Impairments

Emil Bj\"ornson, Mats Bengtsson, Per Zetterberg

arxiv:1209.0741 v1 · 2012-09-04 · 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{VPQUZFE4KUNCQWPRMHONLPRM6C}

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	2026-05-18T03:46:17.325373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe14c949c551a2859f161dcd5be2cf09f45d20a323b1e34f88c2f8fcf9415d9

Aliases

arxiv: 1209.0741 · arxiv_version: 1209.0741v1 · doi: 10.48550/arxiv.1209.0741 · pith_short_12: VPQUZFE4KUNC · pith_short_16: VPQUZFE4KUNCQWPR · pith_short_8: VPQUZFE4

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/VPQUZFE4KUNCQWPRMHONLPRM6C \
  | 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: abe14c949c551a2859f161dcd5be2cf09f45d20a323b1e34f88c2f8fcf9415d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85af0a81ee26fefcb80bef4168cdd0adea00c59d12f2d8ce21f727eaf96fccb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-04T19:14:56Z",
    "title_canon_sha256": "beb9a6ddc92cfbbcba9d816badbac2c67d4b91eb5bdc21d764e2f1f1e7d744dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0741",
    "kind": "arxiv",
    "version": 1
  }
}