Pith Number

pith:ANOEVPER

pith:2013:ANOEVPERGS56WUVHR5PTZ77XGF

not attested not anchored not stored refs pending

Joint Spatial Division and Multiplexing: Opportunistic Beamforming and User Grouping

Ansuman Adhikary, Giuseppe Caire

arxiv:1305.7252 v1 · 2013-05-30 · 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{ANOEVPERGS56WUVHR5PTZ77XGF}

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	2026-05-18T03:22:07.417608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035c4abc9134bbeb52a78f5f3cfff73163072e708b4c9b02cc4bc0158de526f7

Aliases

arxiv: 1305.7252 · arxiv_version: 1305.7252v1 · doi: 10.48550/arxiv.1305.7252 · pith_short_12: ANOEVPERGS56 · pith_short_16: ANOEVPERGS56WUVH · pith_short_8: ANOEVPER

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/ANOEVPERGS56WUVHR5PTZ77XGF \
  | 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: 035c4abc9134bbeb52a78f5f3cfff73163072e708b4c9b02cc4bc0158de526f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682760eacd597ea117a7aa128ee513bb2c8c978a7c2bfbac217719b596cdf598",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-05-30T20:52:38Z",
    "title_canon_sha256": "ef7f87e0ab03b84629ccea16152d8580b6ff727059630cc1710106d476efe13f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7252",
    "kind": "arxiv",
    "version": 1
  }
}