Pith Number

pith:POH3PHJI

pith:2015:POH3PHJILUERXZW7WJ6NOR7JNM

not attested not anchored not stored refs pending

Distributed Coordinated Beamforming for Multi-cell Multigroup Multicast Systems

Bj\"orn Ottersten, Dimitrios Christopoulos, Harri Pennanen, Symeon Chatzinotas

arxiv:1511.03561 v1 · 2015-11-11 · 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{POH3PHJILUERXZW7WJ6NOR7JNM}

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	2026-05-18T00:58:10.073219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b8fb79d285d091be6dfb27cd747e96b0ee60626c38a453fda6b168f17571767

Aliases

arxiv: 1511.03561 · arxiv_version: 1511.03561v1 · doi: 10.48550/arxiv.1511.03561 · pith_short_12: POH3PHJILUER · pith_short_16: POH3PHJILUERXZW7 · pith_short_8: POH3PHJI

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/POH3PHJILUERXZW7WJ6NOR7JNM \
  | 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: 7b8fb79d285d091be6dfb27cd747e96b0ee60626c38a453fda6b168f17571767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7963a2511afa41b3063b29ed58f0f10826e1350940a5f063fbfdf73acb9f15ff",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-11T16:35:24Z",
    "title_canon_sha256": "956840063ecec31c2a98a356e25ef490580e2d5d383f474edd48bc3b9f282a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03561",
    "kind": "arxiv",
    "version": 1
  }
}